11.2.3 Curvature and Features of Surfaces and Range Data

Klucewicz, I.M.,
A Piecewise C^1 Interpolant to Arbitrarily Spaced Data,
CGIP(8), No. 1, August 1978, pp. 92-112. BibRef 7808

Reilly, R.C.,
Mean Curvature, the Laplacian, and Soap Bubbles,
AMM(89), 1982, pp. 180-188, 197-198. BibRef 8200

Peet, F.G., and Sahota, T.S.,
Surface Curvature as a Measure of Image Texture,
PAMI(7), No. 6, November 1985, pp. 734-738. BibRef 8511

Yuille, A.L.,
Zero Crossings on Lines of Curvature,
CVGIP(45), No. 1, January 1989, pp. 68-87.
Elsevier DOI Zero crossings occur near the extrema of the curvature along the principal directions of curvature.
See also Scaling Theorems for Zero-Crossings. BibRef 8901

Yuille, A.L., and Leyton, M.,
3D Symmetry-Curvature Duality Theorems,
CVGIP(52), No. 1, October 1990, pp. 124-140.
Elsevier DOI BibRef 9010
Earlier: (Spelling of second: Leighton??), ICCV87(721-726). It seems to say that given a surface, for each maximum or minimum of the principle curvature along a line of curvature, there is a symmetry axis terminating at this point. This would seem to aid shape from contour also. It was generalized from a 2D case by the second author.
See also Symmetry-Curvature Duality. BibRef

Stockely, E.M., and Wu, S.Y.,
Surface Parameterization and Curvature Measurement of Arbitrary 3-D Objects: Five Practical Methods,
PAMI(14), No. 8, August 1992, pp. 833-840.
IEEE DOI BibRef 9208

Hilton, A.D.M., Illingworth, J., Windeatt, T.,
Statistics of Surface Curvature Estimates,
PR(28), No. 8, August 1995, pp. 1201-1221. BibRef 9508
Earlier:
Elsevier DOI ICPR94(A:37-41).
IEEE DOI variance of curvature and image noise. BibRef

Monga, O.[Olivier], Ayache, N.J.[Nicholas J.], Sander, P.T.[Peter T.],
From Voxel to Intrinsic Surface Features,
IVC(10), No. 6, July-August 1992, pp. 403-415.
Elsevier DOI BibRef 9207
Earlier:
From Voxel to Curvature Features,
VF91(399-407). BibRef
And:
From Voxel to Curvature,
CVPR91(644-649).
IEEE DOI BibRef
And: SPIE(1570), 1991, pp. 382-390. BibRef

Stoddart, A.J., Illingworth, J., Windeatt, T.,
Optimal Parameter Selection for Derivative Estimation from Range Images,
IVC(13), No. 8, October 1995, pp. 629-635.
Elsevier DOI BibRef 9510
Earlier: BMVC94(165-174).
PDF File. estimate of the error in curvature. BibRef

Taubin, G.[Gabriel],
Estimation of Planar Curves, Surfaces, and Nonplanar Space Curves Defined by Implicit Equations with Applications to Edge and Range Image Segmentation,
PAMI(13), No. 11, November 1991, pp. 1115-1138.
IEEE DOI BibRef 9111
Earlier:
Nonplanar Curve and Surface Estimation in 3-Space,
CRA88(644-645). Fit (eigenvector) to the data (applicable to any dimension). A large number of relevant references. BibRef

Taubin, G.[Gabriel],
Smooth Signed Distance Surface Reconstruction and Applications,
CIARP12(38-45).
Springer DOI 1209
BibRef

Taubin, G.[Gabriel],
Curve and Surface Smoothing Without Shrinkage,
ICCV95(852-857).
IEEE DOI N-dimensional smoothing that roughly retains the original size. BibRef 9500

Taubin, G.[Gabriel],
Estimating the Tensor of Curvature of a Surface from a Polyhedral Approximation,
ICCV95(902-907).
IEEE DOI Estimating the curvature when starting with a polygonal representaton. BibRef 9500

Taubin, G.[Gabriel],
Discrete Surface Signal Processing: The Polygon as the Surface Element,
ORCV94(167-175).
Springer DOI 9412
BibRef

Trucco, E., Fisher, R.B.,
Experiments in Curvature-Based Segmentation of Range Data,
PAMI(17), No. 2, February 1995, pp. 177-182.
IEEE DOI BibRef 9502 Edinburgh BibRef
Earlier:
Computing Surface-Based Representations from Range Images,
SIC92(275-280). BibRef EdinburghSee the comparison:
See also Experimental Comparison of Range Image Segmentation Algorithms, An. BibRef

Cantzler, H., Fisher, R.B.,
Comparison of HK and SC curvature description methods,
3DIM01(285-291).
IEEE DOI BibRef 0100 Edinburgh BibRef

Farin, G.[Gerald],
A Construction for Visual C1 Continuity of Polynomial Surface Patches,
CGIP(20), No. 3, November 1982, pp. 272-282.
Elsevier DOI Tangent plane continuity between adjacent patches. BibRef 8211

Soucy, G., Ferrie, F.P.,
Surface Recovery from Range Images Using Curvature and Motion Consistency,
CVIU(65), No. 1, January 1997, pp. 1-18.
DOI Link 9702
BibRef
Earlier:
Motion and Surface Recovery Using Curvature and Motion Consistency,
ECCV92(222-226).
Springer DOI BibRef

Soucy, G.,
View Correspondence Using Curvature and Motion Consistency,
MastersThesis, McGill, 1992. BibRef 9200

Theisel, H., Farin, G.,
The Curvature of Characteristic Curves on Surfaces,
IEEE_CGA(17), No. 6, November/December 1997, pp. 88-96. 9710
BibRef

Chaudhury, S.[Santanu], Roy, A.[Anjana], Dey, L.[Lipika],
A MIMD algorithm for constant curvature feature extraction using curvature based data partitioning,
PRL(20), No. 6. June 1999, pp. 573-583. BibRef 9906

Okatani, T.[Takayuki], Deguchi, K.[Koichiro],
Computation of the Sign of the Gaussian Curvature of a Surface from Multiple Unknown Illumination Images without Knowledge of the Reflectance Property,
CVIU(76), No. 2, November 1999, pp. 125-134.
DOI Link 9911
BibRef

López, A.M.[Antonio M.], Lloret, D.[David], Serrat, J.[Joan], Villanueva, J.J.[Juan J.],
Multilocal Creaseness Based on the Level-Set Extrinsic Curvature,
CVIU(77), No. 2, February 2000, pp. 111-144.
DOI Link 0003
BibRef

López, A.M.[Antonio M.], Lumbreras, F.[Felipe], Serrat, J.[Joan],
Creaseness from Level Set Extrinsic Curvature,
ECCV98(II: 156).
Springer DOI BibRef 9800

Yuen, P., Mokhtarian, F., Khalili, N., Illingworth, J.,
Curvature and torsion feature extraction from free-form 3-D meshes at multiple scales,
VISP(147), No. 5, October 2000, pp. 454-462. 0101
BibRef

Mokhtarian, F.[Farzin], Khalili, N.[Nasser], Yuen, P.[Peter],
Curvature Computation on Free-Form 3-D Meshes at Multiple Scales,
CVIU(83), No. 2, August 2001, pp. 118-139.
DOI Link 0109
BibRef
Earlier: A3, A2, A1:
Curvature Estimation on Smoothed 3-D Meshes,
BMVC99(Posters/Demos).
PDF File. Curvature on a smoothed 3-D surface. Iterative convolve local parameterization of the survace with 2-D Gaussians. Should be more computationally effective than 3-D convolutions.
See also Multi-scale free-form 3D object recognition using 3D models. BibRef

Khalili, N.[Nasser], Mokhtarian, F.[Farzin], Yuen, P.[Peter],
Free-Form Surface Description in Multiple Scales: Extension to Incomplete Surfaces,
CAIP99(293-300).
Springer DOI 9909
BibRef

Mokhtarian, F.[Farzin], Khalili, N.[Nasser], Yuen, P.[Peter],
Estimation of Error in Curvature Computation on Multi-Scale Free-Form Surfaces,
IJCV(48), No. 2, July 2002, pp. 131-149.
DOI Link 0206
BibRef
Earlier:
Multi-Scale 3-d Free-Form Surface Smoothing,
BMVC98(xx-yy).
See also Multi-scale free-form 3D object recognition using 3D models. BibRef

van de Weijer, J.[Joost], van Vliet, L.J.[Lucas J.], Verbeek, P.W.[Piet W.], van Ginkel, M.[Michael],
Curvature Estimation in Oriented Patterns Using Curvilinear Models Applied to Gradient Vector Fields,
PAMI(23), No. 9, September 2001, pp. 1035-1042.
IEEE DOI 0110
BibRef
Earlier: A4, A1, A2, A3:
Curvature Estimation from Orientation Fields,
SCIA99(Image Analysis). Curved oriented patterns. Address the problem of ridges and valleys. BibRef

van Ginkel, M., Verbeek, P.W., and van Vliet, L.J.,
Improved Orientation Selectivity for Orientation Estimation,
SCIA97(xx-yy)
HTML Version. 9705
BibRef

Bakker, P.[Peter], van Vliet, L.J.[Lucas J.], Verbeek, P.W.[Piet W.],
Confidence and Curvature Estimation of Curvilinear Structures in 3-D,
ICCV01(II: 139-144).
IEEE DOI 0106
BibRef

Verbeek, P.W.[Piet W.], van Vliet, L.J.[Lucas J.], van de Weijer, J.[Joost],
Improved Curvature and Anisotropy Estimation for Curved Line Bundles,
ICPR98(Vol I: 528-533).
IEEE DOI 9808
BibRef

Chan, W.[Woei], Coghill, G.[George], Sivaswamy, J.[Jayanthi],
A simple mechanism for curvature detection,
PRL(22), No. 6-7, May 2001, pp. 731-739.
Elsevier DOI 0105
BibRef

Rieger, B.[Bernd], van Vliet, L.J.[Lucas J.],
Curvature of n-dimensional space curves in grey-value images,
IP(11), No. 7, July 2002, pp. 738-745.
IEEE DOI 0207
BibRef

Rieger, B.[Bernd], van Vliet, L.J.[Lucas J.],
A systematic approach to nD orientation representation,
IVC(22), No. 6, 1 June 2004, pp. 453-459.
Elsevier DOI 0403
BibRef
Earlier:
Representing Orientation in n-Dimensional Spaces,
CAIP03(17-24).
Springer DOI 0311
BibRef

Rieger, B.[Bernd], van Vliet, L.J.[Lucas J.], Verbeek, P.W.[Piet W.],
Continuous Orientation Representation for Arbitrary Dimensions: A Generalized Knutsson Mapping,
SCIA11(774-783).
Springer DOI 1105
BibRef

Rieger, B.[Bernd], van Vliet, L.J.[Lucas J.], Verbeek, P.W.[Piet W.],
Estimation of Curvature Based Shape Properties of Surfaces in 3D Grey-Value Images,
SCIA03(262-267).
Springer DOI 0310
BibRef

Rieger, B.[Bernd], Timmermans, F.J.[Frederik J.], van Vliet, L.J.[Lucas J.], Verbeek, P.W.[Piet W.],
On Curvature Estimation of ISO Surfaces in 3D Gray-Value Images and the Computation of Shape Descriptors,
PAMI(26), No. 8, August 2004, pp. 1088-1094.
IEEE Abstract. 0407
BibRef
Earlier:
Curvature estimation of surfaces in 3d grey-value images,
ICPR02(I: 684-687).
IEEE DOI 0211
Operate on orientation field from the gradient structure tensoe. BibRef

Lavva, I., Hameiri, E., Shimshoni, I.,
Robust Methods for Geometric Primitive Recovery and Estimation From Range Images,
SMC-B(37), No. 3, June 2007, pp. 826-845.
IEEE DOI 0711
BibRef

Quek, F.K.H., Yarger, R.W.I., Kirbas, C.,
Surface parameterization in volumetric images for curvature-based feature classification,
SMC-B(33), No. 5, October 2003, pp. 758-765.
IEEE Abstract. 0310
BibRef

Kuijper, A.[Arjan],
On detecting all saddle points in 2D images,
PRL(25), No. 15, November 2004, pp. 1665-1672.
Elsevier DOI 0411
Saddle points and extrema. BibRef

Kuijper, A.[Arjan],
Exploring and exploiting the structure of saddle points in Gaussian scale space,
CVIU(112), No. 3, December 2008, pp. 337-349.
Elsevier DOI 0811
Multi-resolution processing; Scale space; Deep structure; Pre-segmentation BibRef

Wang, S.J.[Sheng-Jyh], Kuo, L.C.[Lun-Chia], Jong, H.H.[Hsin-Haw], Wu, Z.H.[Zong-Han],
Representing images using points on image surfaces,
IP(14), No. 8, August 2005, pp. 1043-1056.
IEEE DOI 0508
High curvature points on image surface. BibRef

Magid, E.[Evgeni], Soldea, O.[Octavian], Rivlin, E.[Ehud],
A comparison of Gaussian and mean curvature estimation methods on triangular meshes of range image data,
CVIU(107), No. 3, September 2007, pp. 139-159.
Elsevier DOI 0709
Geometric modeling; Principal curvatures; Gaussian curvature; Mean curvature; Polygonal mesh; Triangular mesh; Range data BibRef

Morvan, J.M.[Jean-Marie],
Generalized Curvatures,
Springer2008, ISBN: 978-3-540-73791-9
WWW Link. Survey, Curvature. Buy this book: Generalized Curvatures (Geometry and Computing) BibRef 0800

He, B.S.[Bing-Sheng], Yuan, X.M.[Xiao-Ming],
Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective,
SIIMS(5), No. 1 2012, pp. 119.
DOI Link 1202
BibRef

Tombari, F.[Federico], Salti, S.[Samuele], di Stefano, L.[Luigi],
Performance Evaluation of 3D Keypoint Detectors,
IJCV(102), No. 1-3, March 2013, pp. 198-220.
WWW Link. 1303
distinctive keypoints on 3D surfaces BibRef

Salti, S.[Samuele], Tombari, F.[Federico], di Stefano, L.[Luigi],
SHOT: Unique signatures of histograms for surface and texture description,
CVIU(125), No. 1, 2014, pp. 251-264.
Elsevier DOI 1406
BibRef
Earlier: A2, A1, A3:
A combined texture-shape descriptor for enhanced 3D feature matching,
ICIP11(809-812).
IEEE DOI 1201
BibRef
Earlier: A2, A1, A3:
Unique shape context for 3d data description,
3DOR10(57-62).
DOI Link 1111
BibRef
And: A2, A1, A3:
Unique Signatures of Histograms for Local Surface Description,
ECCV10(III: 356-369).
Springer DOI 1009
Surface matching BibRef

Tonioni, A.[Alessio], Salti, S.[Samuele], Tombari, F.[Federico], Spezialetti, R.[Riccardo], di Stefano, L.[Luigi],
Learning to Detect Good 3D Keypoints,
IJCV(126), No. 1, January 2018, pp. 1-20.
Springer DOI 1801
BibRef
Earlier: A2, A3, A4, A5, Only:
Learning a Descriptor-Specific 3D Keypoint Detector,
ICCV15(2318-2326)
IEEE DOI 1602
Computer vision BibRef

Cardace, A.[Adriano], Spezialetti, R.[Riccardo], Ramirez, P.Z.[Pierluigi Zama], Salti, S.[Samuele], di Stefano, L.[Luigi],
RefRec: Pseudo-labels Refinement via Shape Reconstruction for Unsupervised 3D Domain Adaptation,
3DV21(331-341)
IEEE DOI 2201
Point cloud compression, Technological innovation, Protocols, Shape, Multitasking, Extraterrestrial measurements, UDA, Classification BibRef

Spezialetti, R., Salti, S., di Stefano, L.[Luigi],
Learning an Effective Equivariant 3D Descriptor Without Supervision,
ICCV19(6400-6409)
IEEE DOI 2004
convolutional neural nets, feature extraction, image classification, image matching, image representation, Proposals BibRef

Wu, S.C., Tateno, K., Navab, N., Tombari, F.,
SCFusion: Real-time Incremental Scene Reconstruction with Semantic Completion,
3DV20(801-810)
IEEE DOI 2102
Semantics, Image reconstruction, Real-time systems, Pipelines, Shape, Solid modeling, semantic fusion BibRef

Spezialetti, R., Tan, D.J., Tonioni, A., Tateno, K., Tombari, F.,
A Divide et Impera Approach for 3D Shape Reconstruction from Multiple Views,
3DV20(160-170)
IEEE DOI 2102
Shape, Image reconstruction, Cameras, Pose estimation, Task analysis, Solid modeling, occupancy grid refinement BibRef

Ramirez, P.Z., Tonioni, A., Salti, S., di Stefano, L.[Luigi],
Learning Across Tasks and Domains,
ICCV19(8109-8118)
IEEE DOI 2004
image segmentation, supervised learning, visual tasks, adaptation framework, fully supervised domain, Transforms BibRef

Spezialetti, R.[Riccardo], Salti, S.[Samuele], di Stefano, L.[Luigi],
Performance Evaluation of Learned 3D Features,
CIAP19(I:519-531).
Springer DOI 1909
BibRef

Marcon, M.[Marlon], Spezialetti, R.[Riccardo], Salti, S.[Samuele], Silva, L.[Luciano], di Stefano, L.[Luigi],
Boosting Object Recognition in Point Clouds by Saliency Detection,
NTIAP19(321-331).
Springer DOI 1909
BibRef

Tombari, F.[Federico], di Stefano, L.[Luigi],
3D Data Segmentation by Local Classification and Markov Random Fields,
3DIMPVT11(212-219).
IEEE DOI 1109
BibRef

Salti, S.[Samuele], Petrelli, A.[Alioscia], Tombari, F.[Federico], di Stefano, L.[Luigi],
On the Affinity between 3D Detectors and Descriptors,
3DIMPVT12(424-431).
IEEE DOI 1212
BibRef

Salti, S.[Samuele], Tombari, F.[Federico], di Stefano, L.[Luigi],
A Performance Evaluation of 3D Keypoint Detectors,
3DIMPVT11(236-243).
IEEE DOI 1109
BibRef
Earlier:
On the Use of Implicit Shape Models for Recognition of Object Categories in 3D Data,
ACCV10(III: 653-666).
Springer DOI 1011
BibRef

Tombari, F.[Federico], Franchi, A.[Alessandro], di Stefano, L.[Luigi],
BOLD Features to Detect Texture-less Objects,
ICCV13(1265-1272)
IEEE DOI 1403
descriptors BibRef

Cavallari, T.[Tommaso], di Stefano, L.[Luigi],
Volume-Based Semantic Labeling with Signed Distance Functions,
PSIVT15(544-556).
Springer DOI 1602
BibRef

Truong, H.Q.[Hung Quoc], Hmida, H.B.[Helmi Ben], Boochs, F.[Frank], Habed, A.[Adlane], Cruz, C.[Christophe], Voisin, Y.[Yvon], Nicolle, C.[Christophe],
Automatic Detection and Classification of Objects in Point Clouds using multi-stage Semantics,
PFG(2013), No. 3, 2013, pp. 221-237.
DOI Link 1306
BibRef

Ammari, H., Bretin, E., Garnier, J., Jing, W., Kang, H., Wahab, A.,
Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity,
SIIMS(6), No. 4, 2013, pp. 2174-2212.
DOI Link 1402
analysis of the topological derivative based detection algorithms BibRef

Coeurjolly, D.[David], Lachaud, J.O.[Jacques-Olivier], Levallois, J.[Jérémy],
Multigrid convergent principal curvature estimators in digital geometry,
CVIU(129), No. 1, 2014, pp. 27-41.
Elsevier DOI 1411
BibRef
Earlier: A2, A3, A1:
Parameter-Free and Multigrid Convergent Digital Curvature Estimators,
DGCI14(162-175).
Springer DOI 1410
BibRef
Earlier: A1, A2, A3:
Integral Based Curvature Estimators in Digital Geometry,
DGCI13(215-227).
Springer DOI 1304
Digital geometry BibRef

Thielhelm, H.[Hannes], Vais, A.[Alexander], Wolter, F.E.[Franz-Erich],
Geodesic bifurcation on smooth surfaces,
VC(31), No. 2, February 2015, pp. 187-204.
Springer DOI 1503
BibRef

Nouri, A.[Anass], Charrier, C.[Christophe], Lézoray, O.[Olivier],
Multi-scale mesh saliency with local adaptive patches for viewpoint selection,
SP:IC(38), No. 1, 2015, pp. 151-166.
Elsevier DOI 1512
BibRef
And:
Multi-scale saliency of 3D colored meshes,
ICIP15(2820-2824)
IEEE DOI 1512
Saliency; colored mesh; multi-scale; patch BibRef

Han, Z.Z.[Zhi-Zhong], Liu, Z.B.[Zhen-Bao], Han, J.W.[Jun-Wei], Vong, C.M.[Chi-Man], Bu, S.H.[Shu-Hui], Li, X.L.[Xue-Long],
Unsupervised 3D Local Feature Learning by Circle Convolutional Restricted Boltzmann Machine,
IP(25), No. 11, November 2016, pp. 5331-5344.
IEEE DOI 1610
Local features from 3D shapes. BibRef

Yang, J.Q.[Jia-Qi], Zhang, Q.[Qian], Xiao, Y.[Yang], Cao, Z.G.[Zhi-Guo],
TOLDI: An effective and robust approach for 3D local shape description,
PR(65), No. 1, 2017, pp. 175-187.
Elsevier DOI 1702
Local reference frame BibRef

Yang, J.Q.[Jia-Qi], Zhang, Q.[Qian], Xian, K.[Ke], Xiao, Y.[Yang], Cao, Z.G.[Zhi-Guo],
Rotational contour signatures for both real-valued and binary feature representations of 3D local shape,
CVIU(160), No. 1, 2017, pp. 133-147.
Elsevier DOI 1706
BibRef
Earlier:
Rotational contour signatures for robust local surface description,
ICIP16(3598-3602)
IEEE DOI 1610
local surface descriptor called rotational contour signatures. Encoding BibRef

Ciomaga, A.[Adina], Morel, J.M.[Jean-Michel],
A proof of equivalence between level lines shortening and curvature motion in image processing,
MathAnal(45), 2013, pp. 1047=1067.
DOI Link BibRef 1300

Ciomaga, A.[Adina], Monasse, P.[Pascal], Morel, J.M.[Jean-Michel],
The Image Curvature Microscope: Accurate Curvature Computation at Subpixel Resolution,
IPOL(7), 2017, pp. 197-217.
DOI Link 1708
Code, Curvature. BibRef
Earlier:
Level lines shortening yields an image curvature microscope,
ICIP10(4129-4132).
IEEE DOI 1009
BibRef

Monasse, P.[Pascal],
Extraction of the Level Lines of a Bilinear Image,
IPOL(9), 2019, pp. 205-219.
DOI Link 1908
Builds on:
See also Image Curvature Microscope: Accurate Curvature Computation at Subpixel Resolution, The. BibRef

Han, X.F.[Xian-Feng], Jin, J.S.[Jesse S.], Wang, M.J.[Ming-Jie], Jiang, W.[Wei], Gao, L.[Lei], Xiao, L.P.[Li-Ping],
A review of algorithms for filtering the 3D point cloud,
SP:IC(57), No. 1, 2017, pp. 103-112.
Elsevier DOI 1709
3D point cloud BibRef

Lefloch, D.[Damien], Kluge, M.[Markus], Sarbolandi, H.[Hamed], Weyrich, T.[Tim], Kolb, A.[Andreas],
Comprehensive Use of Curvature for Robust and Accurate Online Surface Reconstruction,
PAMI(39), No. 12, December 2017, pp. 2349-2365.
IEEE DOI 1711
Cameras, Geometry, Image reconstruction, Iterative closest point algorithm, Real-time systems, Surface reconstruction, 3D reconstruction, depth fusion, BibRef

Bahirat, K., Raghuraman, S., Prabhakaran, B.,
Real-Time, Curvature-Sensitive Surface Simplification Using Depth Images,
MultMed(20), No. 6, June 2018, pp. 1489-1498.
IEEE DOI 1805
Algorithm design and analysis, Cameras, Mobile communication, Real-time systems, Surface reconstruction, visual quality BibRef

Yang, J.Q.[Jia-Qi], Xiao, Y.[Yang], Cao, Z.G.[Zhi-Guo],
Toward the Repeatability and Robustness of the Local Reference Frame for 3D Shape Matching: An Evaluation,
IP(27), No. 8, August 2018, pp. 3766-3781.
IEEE DOI 1806
Gaussian noise, feature extraction, image matching, image representation, image retrieval, object recognition, shape retrieval BibRef

Choukroun, Y.[Yoni], Pai, G.[Gautam], Kimmel, R.[Ron],
Sparse Approximation of 3D Meshes Using the Spectral Geometry of the Hamiltonian Operator,
JMIV(60), No. 6, July 2018, pp. 941-952.
Springer DOI 1806
discrete Laplace operator in shape analysis. BibRef

Yousefhussien, M.[Mohammed], Kelbe, D.J.[David J.], Ientilucci, E.J.[Emmett J.], Salvaggio, C.[Carl],
A multi-scale fully convolutional network for semantic labeling of 3D point clouds,
PandRS(143), 2018, pp. 191-204.
Elsevier DOI 1808
LiDAR, 3D-labeling contest, Deep learning BibRef

Blaszczak-Bak, W.[Wioleta], Koppanyi, Z.[Zoltan], Toth, C.[Charles],
Reduction Method for Mobile Laser Scanning Data,
IJGI(7), No. 7, 2018, pp. xx-yy.
DOI Link 1808
Reduce to the important (necessary) information. Depends on the task. DEM, road information, etc. BibRef

Prantl, M., Váša, L.,
Estimation of differential quantities using Hermite RBF interpolation,
VC(34), No. 12, December 2018, pp. 1645-1659.
Springer DOI 1811
E.g. Curvature. For graphics. BibRef

Dalitz, C.[Christoph], Wilberg, J.[Jens], Aymans, L.[Lukas],
TriplClust: An Algorithm for Curve Detection in 3D Point Clouds,
IPOL(9), 2019, pp. 26-46.
DOI Link 1901
Code, Curve Detection. Detecting and separating curves in 3D point clouds without making a priori assumptions about their parametric shape.
See also Iterative Hough Transform for Line Detection in 3D Point Clouds. BibRef

Gong, Y.,
Mean Curvature Is a Good Regularization for Image Processing,
CirSysVideo(29), No. 8, August 2019, pp. 2205-2214.
IEEE DOI 1908
Mathematical model, Image processing, Surface treatment, Task analysis, Geometry, Computational modeling, minimal surface BibRef

Bird, B.[Benjamin], Wright, T.[Thomas], Watson, S.[Simon], Lennox, B.[Barry],
Autonomous void detection and characterisation in point clouds and triangular meshes,
IJCVR(9), No. 4, 2019, pp. 368-386.
DOI Link 1908
BibRef

Le, V.H.[Van-Hung], Vu, H.[Hai], Nguyen, T.T.[Thuy Thi], Le, T.L.[Thi-Lan], Tran, T.H.[Thanh-Hai],
GCSAC: geometrical constraint sample consensus for primitive shapes estimation in 3D point cloud,
IJCVR(9), No. 4, 2019, pp. 387-411.
DOI Link 1908
BibRef

Srivastava, S.[Siddharth], Lall, B.[Brejesh],
DeepPoint3D: Learning discriminative local descriptors using deep metric learning on 3D point clouds,
PRL(127), 2019, pp. 27-36.
Elsevier DOI 1911
3D correspondence, 3D local descriptors, 3D point cloud processing BibRef

Comic, L.[Lidija], Magillo, P.[Paola],
Repairing 3D Binary Images Using the FCC Grid,
JMIV(61), No. 9, November 2019, pp. 1301-1321.
Springer DOI 1911
Transform image into well composed one -- no critical edges or vertices. BibRef

Comic, L.[Lidija], Magillo, P.[Paola],
Repairing Binary Images Through the 2d Diamond Grid,
IWCIA20(183-198).
Springer DOI 2009
BibRef

Yin, P.C.[Peng-Cheng], Zhang, J.[Jiyi], Sun, X.Y.[Xi-Ying], Hu, D.[Di], Shi, Z.F.[Zhi-Feng], Wu, C.Y.[Cheng-Yan],
A Vertex Concavity-Convexity Detection Method for Three-Dimensional Spatial Objects Based on Geometric Algebra,
IJGI(9), No. 1, 2020, pp. xx-yy.
DOI Link 2001
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Interest points, Fast detectors, Image matching. Detectors, Dogs, Feature extraction, Image edge detection, Shape, Surface treatment, Three-dimensional, displays BibRef

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Tensors, Solid modeling, Signal processing, Spectral analysis, Octrees, Analytical models, 3D point clouds, sampling BibRef

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Point cloud processing, Shape-adaptive filter, Deep learning BibRef

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Redundancy, Solid modeling, Task analysis, Neural networks, Complexity theory, Convolution, Deep learning, point cloud, model compression BibRef

Yang, M.H.[Ming-Han], Xu, D.[Dong], Chen, H.Y.[Hong-Yu], Wen, Z.W.[Zai-Wen], Chen, M.Y.[Meng-Yun],
Enhance Curvature Information by Structured Stochastic Quasi-Newton Methods,
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Arce, F.[Fernando], Gómez-Flores, W.[Wilfrido], Escalona, U.[Uriel], Sossa, H.[Humberto],
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Shape analysis, Artificial neural network, Computation time, Bit-quads, Area, Perimeter, Contact perimeter BibRef

Liu, X.S.[Xing-Sheng], Li, A.[Anhu], Sun, J.F.[Jian-Feng], Lu, Z.Y.[Zhi-Yong],
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3D feature descriptor, Local reference frame, Trigonometric projection mechanism, Object recognition, Shape registration BibRef

Bode, L.[Lukas], Weinmann, M.[Michael], Klein, R.[Reinhard],
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Wang, S.Z.[Shu-Zhe], kannala, J.H.[Ju-Ho], Pollefeys, M.[Marc], Barath, D.[Daniel],
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Matwij, W.[Wojciech], Lipecki, T.[Tomasz], Jaskowski, W.F.[Wojciech Franciszek],
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3D anomaly detection, Anomaly simulation, Discriminative anomaly detection BibRef

Furuya, T.[Takahiko], Chen, Z.[Zhoujie], Ohbuchi, R.[Ryutarou], Kuang, Z.Z.[Zhen-Zhong],
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Deep learning, Self-supervised learning, 3D point set, Feature representation, Rotation invariance BibRef

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Advanced Feature Learning on Point Clouds Using Multi-Resolution Features and Learnable Pooling,
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LoCUS: Learning Multiscale 3D-consistent Features from Posed Images,
ICCV23(16588-16598)
IEEE DOI 2401
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Horwitz, E.[Eliahu], Hoshen, Y.[Yedid],
Back to the Feature: Classical 3D Features are (Almost) All You Need for 3D Anomaly Detection,
VAND23(2968-2977)
IEEE DOI 2309
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Acosta, F.[Francisco], Sanborn, S.[Sophia], Duc, K.D.[Khanh Dao], Madhav, M.[Manu], Miolane, N.[Nina],
Quantifying Extrinsic Curvature in Neural Manifolds,
TAG-PRA23(610-619)
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Bergmann, P.[Paul], Sattlegger, D.[David],
Anomaly Detection in 3D Point Clouds using Deep Geometric Descriptors,
WACV23(2612-2622)
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Point cloud compression, Training, Location awareness, Runtime, Protocols, Memory management, 3D computer vision BibRef

Blomqvist, K.[Kenneth], Chung, J.J.[Jen Jen], Ott, L.[Lionel], Siegwart, R.[Roland],
Semi-automatic 3D Object Keypoint Annotation and Detection for the Masses,
ICPR22(3908-3914)
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3DeformRS: Certifying Spatial Deformations on Point Clouds,
CVPR22(15148-15158)
IEEE DOI 2210
Point cloud compression, Solid modeling, Smoothing methods, Computational modeling, Perturbation methods, 3D from multi-view and sensors BibRef

Cheng, Z.Z.[Ze-Zhou], Su, J.C.[Jong-Chyi], Maji, S.[Subhransu],
On Equivariant and Invariant Learning of Object Landmark Representations,
ICCV21(9877-9886)
IEEE DOI 2203
Representation learning, Stacking, Benchmark testing, Task analysis, Standards, Lenses, Representation learning, Transfer/Low-shot/Semi/Unsupervised Learning BibRef

Xiang, T.[Tiange], Zhang, C.Y.[Chao-Yi], Song, Y.[Yang], Yu, J.H.[Jian-Hui], Cai, W.D.[Wei-Dong],
Walk in the Cloud: Learning Curves for Point Clouds Shape Analysis,
ICCV21(895-904)
IEEE DOI 2203
Point cloud compression, Geometry, Analytical models, Codes, Shape, Recognition and classification, Segmentation, grouping and shape BibRef

Gao, Z.[Zhi], Wu, Y.W.[Yu-Wei], Jia, Y.D.[Yun-De], Harandi, M.[Mehrtash],
Curvature Generation in Curved Spaces for Few-Shot Learning,
ICCV21(8671-8680)
IEEE DOI 2203
Geometry, Prototypes, Distortion, Data structures, Task analysis, Transfer/Low-shot/Semi/Unsupervised Learning, Representation learning BibRef

Zavrtanik, V.[Vitjan], Kristan, M.[Matej], Skocaj, D.[Danijel],
DRÆM: A discriminatively trained reconstruction embedding for surface anomaly detection,
ICCV21(8310-8319)
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Location awareness, Surface reconstruction, Computational modeling, Feature extraction, Task analysis, Vision applications and systems BibRef

Gong, Y.H.[Yuan-Hao], Tang, W.M.[Wen-Ming], Zhou, L.[Lebin], Yu, L.[Lantao], Qiu, G.P.[Guo-Ping],
A Discrete Scheme for Computing Image's Weighted Gaussian Curvature,
ICIP21(1919-1923)
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Weight measurement, Smoothing methods, Image analysis, Motion estimation, Estimation, Computational efficiency, curvature, weighted BibRef

Xu, M.[Mutian], Ding, R.[Runyu], Zhao, H.S.[Heng-Shuang], Qi, X.J.[Xiao-Juan],
PAConv: Position Adaptive Convolution with Dynamic Kernel Assembling on Point Clouds,
CVPR21(3172-3181)
IEEE DOI 2111

WWW Link. Code, Point Cloud Convolutions. Convolution, Computational modeling, Pipelines, Network architecture, Pattern recognition BibRef

Lei, J.H.[Jia-Hui], Sridhar, S.[Srinath], Guerrero, P.[Paul], Sung, M.[Minhyuk], Mitra, N.J.[Niloy J.], Guibas, L.J.[Leonidas J.],
Pix2Surf: Learning Parametric 3d Surface Models of Objects from Images,
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Cai, R.J.[Ruo-Jin], Yang, G.[Guandao], Averbuch-Elor, H.[Hadar], Hao, Z.K.[Ze-Kun], Belongie, S.[Serge], Snavely, N.[Noah], Hariharan, B.[Bharath],
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Myhre, J.N.[Jonas Nordhaug], Shaker, M.[Matineh], Kaba, M.D.[Mustafa Devrim], Jenssen, R.[Robert], Erdogmus, D.[Deniz],
A generic unfolding algorithm for manifolds estimated by local linear approximations,
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IEEE DOI 2008
Manifolds, Approximation algorithms, Principal component analysis, Estimation, Linear approximation, Eigenvalues and eigenfunctions BibRef

Deng, Z., Bednarík, J.[Jan], Salzmann, M.[Mathieu], Fua, P.[Pascal],
Better Patch Stitching for Parametric Surface Reconstruction,
3DV20(593-602)
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Surface reconstruction, Shape, Distortion, Standards, Faces BibRef

Bednarík, J.[Jan], Parashar, S.[Shaifali], Gündogdu, E.[Erhan], Salzmann, M.[Mathieu], Fua, P.[Pascal],
Shape Reconstruction by Learning Differentiable Surface Representations,
CVPR20(4715-4724)
IEEE DOI 2008
Shape, Surface reconstruction, Training, Computational modeling BibRef

Lin, Y.Q.[Yi-Qun], Yan, Z.Z.[Zi-Zheng], Huang, H.B.[Hai-Bin], Du, D.[Dong], Liu, L.G.[Li-Gang], Cui, S.G.[Shu-Guang], Han, X.G.[Xiao-Guang],
FPConv: Learning Local Flattening for Point Convolution,
CVPR20(4292-4301)
IEEE DOI 2008
Convolution, Task analysis, Interpolation, Kernel BibRef

You, Y., Lou, Y., Li, C., Cheng, Z., Li, L., Ma, L., Lu, C., Wang, W.,
KeypointNet: A Large-Scale 3D Keypoint Dataset Aggregated From Numerous Human Annotations,
CVPR20(13644-13653)
IEEE DOI 2008
Semantics, Aggregates, Airplanes, Mathematical model, Solid modeling BibRef

Hackel, T.[Timo], Wegner, J.D.[Jan D.], Schindler, K.[Konrad],
Contour Detection in Unstructured 3D Point Clouds,
CVPR16(1610-1618)
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Zhao, H.S.[Heng-Shuang], Jiang, L.[Li], Fu, C.W.[Chi-Wing], Jia, J.Y.[Jia-Ya],
PointWeb: Enhancing Local Neighborhood Features for Point Cloud Processing,
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IEEE DOI 2002
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He, T.[Tong], Huang, H.B.[Hai-Bin], Yi, L.[Li], Zhou, Y.Q.[Yu-Qian], Wu, C.[Chihao], Wang, J.[Jue], Soatto, S.[Stefano],
GeoNet: Deep Geodesic Networks for Point Cloud Analysis,
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Liu, Y.C.[Yong-Cheng], Fan, B.[Bin], Xiang, S.M.[Shi-Ming], Pan, C.H.[Chun-Hong],
Relation-Shape Convolutional Neural Network for Point Cloud Analysis,
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IEEE DOI 2002
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Yang, J.C.[Jian-Cheng], Zhang, Q.A.[Qi-Ang], Ni, B.B.[Bing-Bing], Li, L.G.[Lin-Guo], Liu, J.X.[Jin-Xian], Zhou, M.D.[Meng-Die], Tian, Q.[Qi],
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IEEE DOI 2002
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Dubrovina, A.[Anastasia], Xia, F.[Fei], Achlioptas, P.[Panos], Shalah, M.[Mira], Groscot, R.[Raphael], Guibas, L.J.[Leonidas J.],
Composite Shape Modeling via Latent Space Factorization,
ICCV19(8139-8148)
IEEE DOI 2004
image representation, learning (artificial intelligence), neural net architecture, solid modelling, shape assembly, Image reconstruction BibRef

Li, L.X.[Ling-Xiao], Sung, M.[Minhyuk], Dubrovina, A.[Anastasia], Yi, L.[Li], Guibas, L.J.[Leonidas J.],
Supervised Fitting of Geometric Primitives to 3D Point Clouds,
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Lan, S.Y.[Shi-Yi], Yu, R.C.[Rui-Chi], Yu, G.[Gang], Davis, L.S.[Larry S.],
Modeling Local Geometric Structure of 3D Point Clouds Using Geo-CNN,
CVPR19(998-1008).
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Wu, W.X.[Wen-Xuan], Qi, Z.A.[Zhong-Ang], Fuxin, L.[Li],
PointConv: Deep Convolutional Networks on 3D Point Clouds,
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IEEE DOI 2002
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Sarmad, M.[Muhammad], Lee, H.J.[Hyunjoo Jenny], Kim, Y.M.[Young Min],
RL-GAN-Net: A Reinforcement Learning Agent Controlled GAN Network for Real-Time Point Cloud Shape Completion,
CVPR19(5891-5900).
IEEE DOI 2002
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Shi, Y., Fang, H., Zhu, J., Fang, Y.,
Pairwise Attention Encoding for Point Cloud Feature Learning,
3DV19(135-144)
IEEE DOI 1911
Visualization, Task analysis, Feature extraction, Encoding, Fuses, 3D Vision, Shape Segmentation BibRef

Iqbal, M.Z., Bobkov, D., Steinbach, E.,
Adaptive Fusion-Based 3D Keypoint Detection for RGB Point Clouds,
ICIP19(3711-3715)
IEEE DOI 1910
3d keypoint detector, difference of Gaus-sian, point cloud, salient point BibRef

Deutsch, S.[Shay], Masi, I.[Iacopo], Soatto, S.[Stefano],
Finding Structure in Point Cloud Data with the Robust Isoperimetric Loss,
SSVM19(25-37).
Springer DOI 1909
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Tatarchenko, M.[Maxim], Park, J.[Jaesik], Koltun, V.[Vladlen], Zhou, Q.Y.[Qian-Yi],
Tangent Convolutions for Dense Prediction in 3D,
CVPR18(3887-3896)
IEEE DOI 1812
Convolution, Kernel, Shape, Semantics, Geometry BibRef

Shen, Y., Feng, C., Yang, Y., Tian, D.,
Mining Point Cloud Local Structures by Kernel Correlation and Graph Pooling,
CVPR18(4548-4557)
IEEE DOI 1812
Kernel, Correlation, Shape, Semantics, Covariance matrices, Convolution BibRef

Das, S., Bhandarkar, S.M.,
Principal Curvature Guided Surface Geometry Aware Global Shape Representation,
Diff-CVML18(516-51609)
IEEE DOI 1812
Shape, Strain, Geometry, Manifolds, Surface reconstruction, Measurement, 3D shape representation, shape symmetry BibRef

Rethage, D.[Dario], Wald, J.[Johanna], Sturm, J.[Jürgen], Navab, N.[Nassir], Tombari, F.[Federico],
Fully-Convolutional Point Networks for Large-Scale Point Clouds,
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Dominguez, M., Dhamdhere, R., Petkar, A., Jain, S., Sah, S., Ptucha, R.,
General-Purpose Deep Point Cloud Feature Extractor,
WACV18(1972-1981)
IEEE DOI 1806
feature extraction, graph theory, image representation, neural nets, stereo image processing, 3D point cloud data, BibRef

Gong, Y., Xie, Y.,
Linear approximation of mean curvature,
ICIP17(570-574)
IEEE DOI 1803
Benchmark testing, Computational complexity, Computational modeling, Geometry, Image processing, weighted mean curvature BibRef

Lev, J., Lim, J.H., Ouarti, N., Mokhtari, M.,
Towards Robust Retrieval for Imperfectly Scanned Point Cloud Objects,
ICIP19(4240-4244)
IEEE DOI 1910
3D Point Cloud, 3D Shape Descriptor, Occlusion, Noise, Performance Study BibRef

Thewlis, J.[James], Bilen, H.[Hakan], Vedaldi, A.[Andrea],
Unsupervised Learning of Object Landmarks by Factorized Spatial Embeddings,
ICCV17(3229-3238)
IEEE DOI 1802
Learn landmarks in object categories, thus characterizing their structure. face recognition, image classification, matrix decomposition, neural nets, unsupervised learning, Strain BibRef

Takei, S., Akizuki, S., Hashimoto, M.,
SHORT: A fast 3D feature description based on estimating occupancy in spherical shell regions,
ICVNZ15(1-5)
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cloud computing BibRef

Chen, Z.[Zizui], Czarnuch, S.[Stephen], Smith, A.[Andrew], Shehata, M.[Mohamed],
Performance Evaluation of 3D Keypoints and Descriptors,
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Arav, R.[Reuma], Filin, S.[Sagi],
An Energy-based Approach For Detection And Characterization Of Subtle Entities Within Laser Scanning Point-clouds,
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Blankenburg, C., Daul, C., Ohser, J.,
Parameter free torsion estimation of curves in 3D images,
ICIP16(1081-1085)
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Estimation BibRef

Min, L.[Li], Xin, Y.[Yang], Liyang, X.[Xiong],
Point Cloud Oriented Shoulder Line Extraction In Loess Hilly Area,
ISPRS16(B3: 279-282).
DOI Link 1610
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Feng, Y., Schlichting, A., Brenner, C.,
3d Feature Point Extraction From Lidar Data Using A Neural Network,
ISPRS16(B1: 563-569).
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Bhalla, G.[Gurman], Bhowmick, P.[Partha],
DIG: Discrete Iso-contour Geodesics for Topological Analysis of Voxelized Objects,
CTIC16(265-276).
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Varney, N.M., Asari, V.K.,
Volumetric features for object region classification in 3D LiDAR point clouds,
AIPR14(1-6)
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eigenvalues and eigenfunctions BibRef

Hauenstein, J.D.[Jacob D.], Newman, T.S.[Timothy S.],
On Reliable Estimation of Curvatures of Implicit Surfaces,
3DV14(697-704)
IEEE DOI 1503
Accuracy BibRef

di Martino, J.M.[J. Matias], Fernandez, A.[Alicia], Ferrari, J.A.[Jose A.],
3D curvature analysis with a novel one-shot technique,
ICIP14(3818-3822)
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Cameras BibRef

Schiopu, I.[Ionut], Tabus, I.[Ioan],
Anchor points coding for depth map compression,
ICIP14(5626-5630)
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Holte, M.B.[Michael B.],
3D interest point detection using local surface characteristics with application in action recognition,
ICIP14(5736-5740)
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Filipe, S.[Sílvio], Alexandre, L.A.[Luís A.],
A Biological Motivated Multi-scale Keypoint Detector for local 3D Descriptors,
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Fischer, P.[Philipp], Brox, T.[Thomas],
Image Descriptors Based on Curvature Histograms,
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viewpoint feature histogram descriptor. feature extraction of 3D. BibRef

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CVPR23(5251-5260)
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Non-associative Higher-Order Markov Networks for Point Cloud Classification,
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Detecting Objects in Scene Point Cloud: A Combinational Approach,
3DV13(175-182)
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combinatorial mathematics BibRef

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Xu, G.L.[Guo-Liang], Zhang, Q.[Qin],
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A Scale Invariant Surface Curvature Estimator,
PSIVT06(138-147).
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Mizoguchi, T.[Tomohiro], Date, H.[Hiroaki], Kanai, S.[Satoshi], Kishinami, T.[Takeshi],
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Serrat, J.[Juan], López, A., Lloret, D.,
On Ridges and Valleys,
ICPR00(Vol IV: 59-66).
IEEE DOI 0009
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Curvature Operators in Geometric Image Processing,
SIBGRAPI'99(xx).
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Curvature estimation for segmentation of triangulated surfaces,
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Curvature of oriented patterns: 2-D and 3-D estimation from differential geometry,
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Tanaka, H.T., Lee, D.T.L.,
Representing Surface Curvature Discontinuities on Curved Surfaces,
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Estimating Angles and Curvature Features in Grey Scale Images,
BMVC94(115-124).
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Matas, J.G., Shao, Z., Kittler, J.V.,
Estimation of curvature and tangent direction by median filtered differencing,
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Understanding of ridge-valley lines on image-intensity surfaces in scale-space,
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Hlavac, V., Pajdla, T., Sommer, M.,
Improvement of the curvature computation,
ICPR94(A:536-538).
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Legault, R., Suen, C.Y.,
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Eom, K.B., Park, J.,
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Estimation of Curvature in 3D Images Using Tensor Field Filtering,
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Chapter on 3-D Object Description and Computation Techniques, Surfaces, Deformable, View Generation, Video Conferencing continues in
Surfaces and Range Data, Normal Vector, Surface Normal .