11.3.9 Spline Based Models, B-Splines

Chapter Contents (Back)
Spline. Surface Reconstruction.
See also Splines, General Methods, General Papers.

Bookstein, F.L.,
Principal Warps: Thin-Plate Splines and the Decomposition of Deformations,
PAMI(11), No. 6, June 1989, pp. 567-585.
IEEE DOI Eigen Snakes. How to interpolate surfaces over sparse data. And use for recognition. BibRef 8906

Barsky, B.A.[Brian A.], Greenberg, D.P.[Donald P.],
Determining a Set of B-Spline Control Vertices to Generate an Interpolating Surface,
CGIP(14), No. 3, November 1980, pp. 203-226.
Elsevier DOI Surfaces. BibRef 8011

Harada, K.[Koichi], Nakamae, E.[Eihachiro],
An Isotropic Four-Point Interpolation Based on Cubic Splines,
CGIP(20), No. 3, November 1982, pp. 283-287.
Elsevier DOI Advance on:
See also Isotropic Four-Point Interpolation. BibRef 8211

Tan, S.T., Chan, K.C.,
Bi-Quadratic B-Spline Surfaces Generated from Arbitrary Polyhedral Meshes: A Constructive Approach,
CVGIP(39), No. 2, August 1987, pp. 144-166.
Elsevier DOI BibRef 8708

Sinha, S.S., and Schunck, B.G.,
A Two-Stage Algorithm for Discontinuity-Preserving Surface Reconstruction,
PAMI(14), No. 1, January 1992, pp. 36-55.
IEEE DOI BibRef 9201
Earlier:
Surface Approximation Using Weighted Splines,
CVPR91(44-49).
IEEE DOI BibRef
And:
Discontinuity Preserving Surface Reconstruction,
CVPR89(229-234).
IEEE DOI BibRef
And:
A Robust Method for Surface Reconstruction,
Robust90(xx). Robust Technique. Functional Minimization. Adds a weighted bicubic spline with regularization that adapts across discontinuities. BibRef

Sinha, S.S.[Saravajit S.],
Differential Properties from Adaptive Thin-Plate Splines,
SPIE(1570), 1991, pp. 64-74. BibRef 9100

Sullivan, S.[Steve], and Ponce, J.[Jean],
Automatic Model Construction and Pose Estimation from Photographs Using Triangular Splines,
PAMI(20), No. 10, October 1998, pp. 1091-1097.
IEEE DOI Pose Estimation. BibRef 9810
Earlier:
Automatic Model Construction, Pose Estimation, and Object Recognition from Photographs using Triangular Splines,
ICCV98(510-516).
IEEE DOI
WWW Link. Spline object models. Combine silhouettes from registered images. Likewise, estimate the pose given the model and one image. BibRef

Cohen, F.S.[Fernand S.], Ibrahim, W.[Walid], Pintavirooj, C.[Chuchart],
Ordering and Parameterizing Scattered 3D Data for B-Spline Surface Approximation,
PAMI(22), No. 6, June 2000, pp. 642-648.
IEEE DOI 0008
BibRef

Gallo, G.[Giovanni], Spagnuolo, M.[Michela], Spinello, S.[Salvatore],
Fuzzy B-Splines: A Surface Model Encapsulating Uncertainty,
GM(62), No. 1, January 2000, pp. 40-55. 0003
BibRef

Gu, Y.H.[Yu-Hua], Tjahjadi, T.[Tardi],
Coarse-to-fine planar object identification using invariant curve features and B-spline modeling,
PR(33), No. 9, September 2000, pp. 1411-1422.
Elsevier DOI 0005
BibRef

Turner, M.[Mick], Hancock, E.R.[Edwin R.],
A Bayesian framework for 3D surface estimation,
PR(34), No. 4, April 2001, pp. 903-922.
Elsevier DOI 0101
BibRef
Earlier:
Surface Reconstruction with an EM-Like Relaxation Operator,
ICPR96(II: 166-170).
IEEE DOI 9608
BibRef
Earlier:
Bayesian extraction of differential surface structure,
CAIP95(784-789).
Springer DOI 9509
BibRef
And:
A Bayesian Approach to 3D Surface Fitting and Refinement,
BMVC95(xx-yy).
PDF File. 9509
(Univ. of York, UK) BibRef

Sengupta, K.[Kuntal], Burman, P.[Prabir], Gupta, S.[Sumit],
Least Committed Splines in 3D Modelling of Free Form Objects from Intensity Images,
JMIV(17), No. 2, September 2002, pp. 175-186.
DOI Link 0211
BibRef

Xiao, Y.J.[Yi Jun], Li, Y.F.,
Optimized stereo reconstruction of free-form space curves based on a nonuniform rational B-spline model,
JOSA-A(22), No. 9, September 2005, pp. 1746-1762.
WWW Link. 0601
BibRef

Soldea, O., Elber, G., Rivlin, E.,
Global Segmentation and Curvature Analysis of Volumetric Data Sets Using Trivariate B-Spline Functions,
PAMI(28), No. 2, February 2006, pp. 265-278.
IEEE DOI 0601
BibRef

Bernard, O., Friboulet, D., Thevenaz, P.[Philippe], Unser, M.[Michael],
Variational B-Spline Level-Set: A Linear Filtering Approach for Fast Deformable Model Evolution,
IP(18), No. 6, June 2009, pp. 1179-1191.
IEEE DOI 0905

See also Compactly Supported Radial Basis Functions Based Collocation Method for Level-Set Evolution in Image Segmentation. BibRef

Barbosa, D., Dietenbeck, T., Schaerer, J., d'Hooge, J., Friboulet, D., Bernard, O.,
B-Spline Explicit Active Surfaces: An Efficient Framework for Real-Time 3-D Region-Based Segmentation,
IP(21), No. 1, January 2012, pp. 241-251.
IEEE DOI 1112
BibRef
Earlier: A1, A4, A2, A5, A6, Only:
Towards real-time 3D region-based segmentation: B-spline explicit active surfaces,
ICIP11(3121-3124).
IEEE DOI 1201
BibRef

Bartoli, A.E.[Adrien E.], Perriollat, M.[Mathieu], Chambon, S.[Sylvie],
Generalized Thin-Plate Spline Warps,
IJCV(88), No. 1, May 2010, pp. xx-yy.
Springer DOI 1003
Deformable Models. BibRef
Earlier: CVPR07(1-8).
IEEE DOI 0706
Parameterized model for optical flow field for deformable objects. Overcome issues of application to affine models. BibRef

Lai, Z.Y.[Zhong-Yuan], Liu, W.Y.[Wen-Yu], Zhang, F.[Fan], Cheng, G.[Guang],
Perceptual Distortion Measure for Polygon-Based Shape Coding,
IEICE(E96-D), No. 3, March 2013, pp. 750-753.
WWW Link. 1303
BibRef

Lai, Z.Y.[Zhong-Yuan], Zuo, Z.[Zhen], Wang, Z.[Zhe], Yao, Z.J.[Zhi-Jun], Liu, W.Y.[Wen-Yu],
Accurate distortion measurement for B-spline-based shape coding,
ICIP11(225-228).
IEEE DOI 1201
BibRef

Chen, C.F.[Chuan-Fa], Li, Y.Y.[Yan-Yan], Li, W.[Wei], Dai, H.L.[Hong-Lei],
A multiresolution hierarchical classification algorithm for filtering airborne LiDAR data,
PandRS(82), No. 1, August 2013, pp. 1-9.
Elsevier DOI 1306
LiDAR; Filtering; Thin plate spline; Accuracy BibRef

Sun, Q.H.[Qing-Hua], Bao, F.X.[Fang-Xun], Duan, Q.[Qi],
A Surface Modeling Method by Using C2 Piecewise Rational Spline Interpolation,
JMIV(53), No. 1, September 2015, pp. 12-20.
WWW Link. 1505
BibRef

Tennakoon, R.B., Bab-Hadiashar, A., Cao, Z.W.[Zhen-Wei], Hoseinnezhad, R., Suter, D.,
Robust Model Fitting Using Higher Than Minimal Subset Sampling,
PAMI(38), No. 2, February 2016, pp. 350-362.
IEEE DOI 1601
BibRef
Earlier: A1, A2, A5, A3, Only:
Robust Data Modelling Using Thin Plate Splines,
DICTA13(1-8)
IEEE DOI 1402
Analytical models. computer vision BibRef

Tennakoon, R.B., Sadri, A., Hoseinnezhad, R., Bab-Hadiashar, A.,
Effective Sampling: Fast Segmentation Using Robust Geometric Model Fitting,
IP(27), No. 9, September 2018, pp. 4182-4194.
IEEE DOI 1807
approximation theory, graph theory, greedy algorithms, image segmentation, pattern clustering, spectral clustering BibRef

Gousenbourger, P.Y.[Pierre-Yves], Massart, E.[Estelle], Absil, P.A.,
Data Fitting on Manifolds with Composite Bézier-Like Curves and Blended Cubic Splines,
JMIV(61), No. 5, June 2019, pp. 645-671.
Springer DOI 1906
BibRef

Dini, A.[Afshin], Rahtu, E.[Esa],
TPSAD: Learning to Detect and Localize Anomalies With Thin Plate Spline Transformation,
ICPR22(4744-4750)
IEEE DOI 2212
Training, Location awareness, Image edge detection, Detectors, Self-supervised learning, Computational efficiency, Canny edge detector BibRef


Zhao, J.[Jian], Zhang, H.[Hui],
Thin-Plate Spline Motion Model for Image Animation,
CVPR22(3647-3656)
IEEE DOI 2210
Optical losses, Measurement, Tracking, Motion estimation, Animation, Pattern recognition, Image restoration, Self- semi- meta- unsupervised learning BibRef

Williams, F.[Francis], Trager, M.[Matthew], Bruna, J.[Joan], Zorin, D.[Denis],
Neural Splines: Fitting 3D Surfaces with Infinitely-Wide Neural Networks,
CVPR21(9944-9953)
IEEE DOI 2111
Surface reconstruction, Interpolation, Neural networks, Fitting, Surface fitting BibRef

Akram, B.[Bita], Alim, U.R.[Usman R.], Samavati, F.F.[Faramarz F.],
CINAPACT-Splines: A Family of Infinitely Smooth, Accurate and Compactly Supported Splines,
ISVC15(I: 819-829).
Springer DOI 1601
BibRef

Zhou, Y.Y.[Ya-Yun], Schulze, J., Schaffler, S.,
Dual spherical spline: A new representation of ruled surface optimization,
ICARCV12(1193-1198).
IEEE DOI 1304
BibRef

Cheng, F.F.[Fuhua Frank], Fan, F.T.[Feng-Tao], Lai, S.H.[Shu-Hua], Huang, C.L.[Cong-Lin], Wang, J.X.[Jia-Xi], Yong, J.H.[Jun-Hai],
Progressive Interpolation Using Loop Subdivision Surfaces,
GMP08(xx-yy).
Springer DOI 0804
BibRef

Bouma, H.[Henri], Vilanova, A.[Anna], Bescós, J.O.[Javier Oliván], ter Haar Romeny, B.M.[Bart M.], Gerritsen, F.A.[Frans A.],
Fast and Accurate Gaussian Derivatives Based on B-Splines,
SSVM07(406-417).
Springer DOI 0705
BibRef

Zandifar, A., Lim, S.N.[Ser-Nam], Duraiswami, R.[Ramani], Gumerov, N.A., Davis, L.S.,
Multi-level fast multipole method for thin plate spline evaluation,
ICIP04(III: 1683-1686).
IEEE DOI 0505
BibRef

Siddiqui, M., Sclaroff, S.,
Surface reconstruction from multiple views using rational B-splines and knot insertion,
3DPVT02(372-378).
IEEE DOI 0206
BibRef

Isidoro, J., Sclaroff, S.,
Stochastic mesh-based multiview reconstruction,
3DPVT02(568-577).
IEEE DOI 0206
BibRef

Maeda, M.[Makoto], Kumamaru, K., Inoue, K.,
Shapes Modeling of 3-D Objects Based on A Hybrid Representation Using Extended B-Spline Model,
ICPR02(I: 656-659).
IEEE DOI 0211
BibRef

Donato, G.[Gianluca], Belongie, S.J.[Serge J.],
Approximate Thin Plate Spline Mappings,
ECCV02(III: 21 ff.).
Springer DOI 0205
BibRef

Drapikowski, P., Nowakowski, T.,
3D object modelling in mobile robot environment using B-spline surfaces,
3DPVT02(676-679).
IEEE DOI 0206
BibRef

Maeda, M., Kumamaru, K., Inoue, K., Zha, H.,
3-D Shapes Modeling Which Has Hierarchical Structure Based on B-spline Surfaces with Non-uniform Knots,
ICPR00(Vol III: 115-118).
IEEE DOI 0009
BibRef

Douros, I., Dekker, L., Buxton, B.F.,
An Improved Algorithm for Reconstruction of the Surface of the Human Body from 3D Scanner Data using Local B-spline Patches,
MPeople99(xx-yy). BibRef 9900

Dekker, L., Douros, I., Buxton, B.F., Treleaven, P.,
Building symbolic information for 3D human body modeling from range data,
3DIM99(388-397).
IEEE DOI 9910
BibRef

Chao, J.H.[Jin-Hui], Ura, K.[Kouichi], Honma, G.[Go],
Generation of 3D objects Using Lie Algebra models Based on Curvature Analysis and Comparison with B-spline Fitting,
ICIP99(IV:366-370).
IEEE DOI BibRef 9900

Stoddart, A.J., Baker, M.[Matthew],
Surface Reconstruction and Compression Using Multiresolution Arbitrary Topology G1 Continuous Splines,
ICPR98(Vol I: 788-791).
IEEE DOI 9808
BibRef

Stoddart, A.J., Baker, M.,
Reconstruction of Smooth Surfaces with Arbitrary Topology Adaptive Splines,
ECCV98(II: 241).
Springer DOI BibRef 9800

Han, S.[Song], Medioni, G.[Gerard],
Edge-Aligning Surface Fitting Using Triangular B-Splines,
DARPA97(943-950). BibRef 9700

Han, S., Medioni, G.,
Reconstructing Free-Form Surfaces from Sparse Data,
ICPR96(I: 100-104).
IEEE DOI 9608
(Univ. of Southern Calif., USA) BibRef

Han, S.[Song], Medioni, G.[Gerard],
Spherical Winged B-snakes,
ICIP96(II: 389-392).
IEEE DOI BibRef 9600

Han, S., Medioni, G.,
Deformable Surface Reconstruction Coupled with Discontinuity Edge Detection,
ARPA96(1027-1032). BibRef 9600

Lou, M., Cheng, K.H.,
Calculation Method of Surface Representation Using B-Spline Mask,
ICPR88(I: 300-302).
IEEE DOI BibRef 8800

Naik, S.M., and Jain, R.C.,
Spline-Based Surface Fitting on Range Images for CAD Applications,
CVPR88(249-253).
IEEE DOI Given the surface, fit a spline to it. BibRef 8800

Chapter on 3-D Object Description and Computation Techniques, Surfaces, Deformable, View Generation, Video Conferencing continues in
Reconstructions, Applied to Stereo Imagery, Stereo Data .


Last update:Mar 16, 2024 at 20:36:19