4.8.3.1 Contour Completion, Subjective Contours

Kanizsa, G.K.,
Subjective Contours,
SciAmer(234), No. 4, April 1976. BibRef 7604

Ullman, S.,
Filling the Gaps: The Shape of Subjective Contours and a Model for their Generation,
BioCyber(25), 1976, pp. 1-6. BibRef 7600
Earlier: MIT AI Memo-366, May 1976. BibRef

Ozawa, K.[Kazumasa],
Simulation of the optical illusions using a spatial filter,
PR(10), No. 4, 1978, pp. 237-242.
Elsevier DOI 0309
4 kinds of illusions. BibRef

Ozawa, K.[Kazumasa],
Simulation studies on optical illusions based on a position-dependent point spread function,
PR(23), No. 12, 1990, pp. 1361-1366.
Elsevier DOI 0401
Hering's illusion. BibRef

Williams, L.R., Hanson, A.R.,
Perceptual Completion of Occluded Surfaces,
CVIU(64), No. 1, July 1996, pp. 1-20.
DOI Link 9608
BibRef
Earlier: CVPR94(104-112).
IEEE DOI BibRef
And: A1 only: COINSTR 94-13, March 1994. BibRef Ph.D.Thesis, UMass. Further work from 1990 papers.
PS File. BibRef

Williams, L.R.,
Topological Reconstruction of a Smooth Manifold-Solid from its Occluding Contour,
IJCV(23), No. 1, May 1997, pp. 93-108.
DOI Link 9708
BibRef
Earlier: ECCV94(A:36-47).
Springer DOI BibRef
And: COINSTR 94-04, January 1994.
PS File. BibRef

Thornber, K.K., and Williams, L.R.,
Analytic Solution of Stochastic Completion Fields,
BioCyber(75), 1996, pp. 141-151. BibRef 9600
Earlier: SCV95(617-622).
IEEE DOI NEC Research Institute. Illusory Contours. BibRef

Williams, L.R.,
Perceptual Organization of Occluding Contours,
ICCV90(133-137).
IEEE DOI BibRef 9000
And: DARPA90(639-649). Basically, understanding of standard optical illusions of boundaries. BibRef

Williams, L.R.[Lance R.], Jacobs, D.W.[David W.],
Stochastic Completion Fields: A Neural Model of Illusory Contour Shape and Salience,
ICCV95(408-415).
IEEE DOI BibRef 9500

Williams, L.R.[Lance R.], Jacobs, D.W.[David W.],
Local Parallel Computation of Stochastic Completion Fields,
CVPR96(161-168).
IEEE DOI BibRef 9600

Williams, L.R.[Lance R.], Zweck, J.[John], Wang, T.[Tairan], Thornber, K.K.[Karvel K.],
Computing Stochastic Completion Fields in Linear-Time Using a Resolution Pyramid,
CVIU(76), No. 3, December 1999, pp. 289-297.
DOI Link 0001
BibRef
Earlier: A1, A3, A4 Only: CAIP97(353-360).
Springer DOI 9709
BibRef

Thornber, K.K.[Karvel K.], Williams, L.R.[Lance R.],
Characterizing the distribution of completion shapes with corners using a mixture of random processes,
PR(33), No. 4, April 2000, pp. 543-553.
Elsevier DOI 0002
BibRef

Alter, T.D., Basri, R.[Ronen],
Extracting Salient Curves from Images: An Analysis of the Saliency Network,
IJCV(27), No. 1, March 1998, pp. 51-69.
DOI Link 9805
BibRef
Earlier: CVPR96(13-20).
IEEE DOI BibRef
And: MIT AI Memo-1550, August 1995.
WWW Link. The analysis seems to be mostly negative -- the problems with the Saliency network. Extracts the most salient curve, but cases where the most salient feature is not on that curve. One large gap is better than many small gaps that add up to the same, and problems with finding any curves other than the most salient one. BibRef

Sharon, E.[Eitan], Brandt, A.[Achi], Basri, R.[Ronen],
Completion Energies and Scale,
PAMI(22), No. 10, October 2000, pp. 1117-1131.
IEEE DOI 0011
BibRef
Earlier: CVPR97(884-890).
IEEE DOI 9704
Curve completion. BibRef

Sarti, A., Malladi, R., Sethian, J.A.,
Subjective Surfaces: A Geometric Model for Boundary Completion,
IJCV(46), No. 3, February-March 2002, pp. 201-221.
DOI Link 0202
BibRef

Citti, G.[Giovanna], Sarti, A.[Alessandro],
A Cortical Based Model of Perceptual Completion in the Roto-Translation Space,
JMIV(24), No. 3, May 2006, pp. 307-326.
Springer DOI 0605
BibRef

Citti, G.[Giovanna], Sarti, A.[Alessandro],
A Gauge Field Model of Modal Completion,
JMIV(52), No. 2, June 2015, pp. 267-284.
WWW Link. 1505
BibRef

Citti, G., Franceschiello, B., Sanguinetti, G., Sarti, A.,
Sub-Riemannian Mean Curvature Flow for Image Processing,
SIIMS(9), No. 1, 2016, pp. 212-237.
DOI Link 1604
Reconsideration of:
See also Cortical Based Model of Perceptual Completion in the Roto-Translation Space, A. BibRef

Barbieri, D.[Davide], Citti, G.[Giovanna], Cocci, G.[Giacomo], Sarti, A.[Alessandro],
A Cortical-Inspired Geometry for Contour Perception and Motion Integration,
JMIV(49), No. 3, July 2014, pp. 511-529.
Springer DOI 1407
BibRef

Gil, D.[Debora], Radeva, P.I.[Petia I.],
Extending anisotropic operators to recover smooth shapes,
CVIU(99), No. 1, July 2005, pp. 110-125.
Elsevier DOI 0506
BibRef

Gil, D.[Debora], Radeva, P.I.[Petia I.], Vilarino, F.,
Anisotropic contour completion,
ICIP03(I: 869-872).
IEEE DOI 0312
BibRef

Escalera, S.[Sergio], Pujol, O.[Oriol], Radeva, P.I.[Petia I.],
Robust Complex Salient Regions,
IbPRIA07(II: 113-121).
Springer DOI 0706
BibRef

Escalera, S.[Sergio], Radeva, P.I.[Petia I.], Pujol, O.[Oriol],
Complex Salient Regions for Computer Vision Problems,
BP07(1-8).
IEEE DOI 0706
BibRef

Ren, M.[Mingwu], Yang, W.K.[Wan-Kou], Yang, J.Y.[Jing-Yu],
A new and fast contour-filling algorithm,
PR(38), No. 12, December 2005, pp. 2564-2577.
Elsevier DOI 0510
Find seed automatically. BibRef

Mio, W.[Washington], Srivastava, A.[Anuj], Liu, X.W.[Xiu-Wen],
Contour Inferences for Image Understanding,
IJCV(69), No. 1, August 2006, pp. 137-144.
Springer DOI 0606
BibRef

Zhu, W.[Wei], Chan, T.[Tony],
A Variational Model for Capturing Illusory Contours Using Curvature,
JMIV(27), No. 1, January 2007, pp. 29-40.
Springer DOI 0702
BibRef

Jung, Y.M.[Yoon Mo], Shen, J.H.J.[Jian-Hong Jackie],
First-order modeling and stability analysis of illusory contours,
JVCIR(19), No. 1, January 2008, pp. 42-55.
Elsevier DOI 0711
Illusion, Illusory contours, Energy model, Local stability, Contour decomposition, Real and imaginary, Kinks, Spans, Turns, Level-set method, Supervision BibRef

Jung, Y.M.[Yoon Mo], Shen, J.H.J.[Jian-Hong Jackie],
Illusory Shapes via First-Order Phase Transition and Approximation,
JMIV(53), No. 3, November 2015, pp. 303-313.
Springer DOI 1511
BibRef

Ren, X.F.[Xiao-Feng], Fowlkes, C.C.[Charless C.], Malik, J.[Jitendra],
Learning Probabilistic Models for Contour Completion in Natural Images,
IJCV(77), No. 1-3, May 2008, pp. 47-63.
Springer DOI 0803
BibRef
Earlier:
Scale-Invariant Contour Completion Using Conditional Random Fields,
ICCV05(II: 1214-1221).
IEEE DOI 0510
BibRef

Lang, C.Y.[Cong-Yan], Xu, D.[De], Liu, S.Y.[Shuo-Yan], Li, N.[Ning],
Adaptive Non-linear Intensity Mapping Based Salient Region Extraction,
IEICE(E92-D), No. 4, April 2009, pp. 753-756.
WWW Link. 0907
BibRef

Bellettini, G.[Giovanni], Beorchia, V.[Valentina], Paolini, M.[Maurizio],
Completion Of Visible Contours,
SIIMS(2), No. 3, 2009, pp. 777-799. apparent contours, Morse functions, Huffman labelling
DOI Link BibRef 0900

Choudhury, L.[Lopamudra], Aditya, S.[Subhrangsu], Chaudhuri, B.B.[Bidyut Baran],
Effect of combining Muller-Lyer and horizontal vertical illusions,
IJCVR(1), No. 1, 2009, pp. 59-70.
DOI Link 0911
Optical illusions. Implement and test theory of illusion. BibRef

Zhong, J.J.[Jing-Jing], Luo, S.W.[Si-Wei], Wang, J.[Jiao],
Contour Grouping and Object-Based Attention with Saliency Maps,
IEICE(E92-D), No. 12, December 2009, pp. 2531-2534.
WWW Link. 0912
BibRef

Wang, H.Z.[Hong-Zhi], Oliensis, J.[John],
Generalizing edge detection to contour detection for image segmentation,
CVIU(114), No. 7, July 2010, pp. 731-744.
Elsevier DOI 1007
BibRef
Earlier:
Salient Contour Detection using a Global Contour Discontinuity Measurement,
PercOrg06(190).
IEEE DOI 0609
Perceptual organization, Image segmentation BibRef

Ben-Yosef, G.[Guy], Ben-Shahar, O.[Ohad],
A Tangent Bundle Theory for Visual Curve Completion,
PAMI(34), No. 7, July 2012, pp. 1263-1280.
IEEE DOI 1205
BibRef
Earlier:
Minimum length in the tangent bundle as a model for curve completion,
CVPR10(2384-2391).
IEEE DOI Video of talk:
WWW Link. 1006
BibRef
Earlier:
A Biologically-Inspired Theory for Non-axiomatic Parametric Curve Completion,
ACCV10(II: 346-359).
Springer DOI 1011
Lower level biologically inspired features in grouping. BibRef

Ben-Shahar, O., Ben-Yosef, G.,
Tangent Bundle Elastica and Computer Vision,
PAMI(37), No. 1, January 2015, pp. 161-174.
IEEE DOI 1412
Abstracts BibRef

Guo, G.[Ge], Jiang, T.T.[Ting-Ting], Wang, Y.Z.[Yi-Zhou], Gao, W.[Wen],
Recovering Missing Contours for Occluded Object Detection,
SPLetters(19), No. 8, August 2012, pp. 463-466.
IEEE DOI 1208
BibRef

Wang, R.F.[Ren-Fang], Liu, Y.P.[Yun-Peng], Sun, D.C.[De-Chao], Xu, H.X.[Hui-Xia], Li, J.F.[Ji-Fang],
Detail-generating geometry completion for point-sampled geometry,
MVA(25), No. 7, October 2014, pp. 1747-1759.
Springer DOI 1410
BibRef

Ming, Y.S.[Yan-Sheng], Li, H.D.[Hong-Dong], He, X.M.[Xu-Ming],
Winding Number Constrained Contour Detection,
IP(24), No. 1, January 2015, pp. 68-79.
IEEE DOI 1502
BibRef
Earlier:
Winding Number for Region-Boundary Consistent Salient Contour Extraction,
CVPR13(2818-2825)
IEEE DOI 1309
image representation BibRef

Ming, Y., Li, H., He, X.,
Contour Completion Without Region Segmentation,
IP(25), No. 8, August 2016, pp. 3597-3611.
IEEE DOI 1608
approximation theory BibRef

Blusseau, S.[Samy], von Gioi, R.G.[Rafael Grompone],
Generation and Detection of Alignments in Gabor Patterns,
IPOL(6), 2016, pp. 268-299.
DOI Link 1612
Code, Saliency. BibRef

Yan, M.Y.[Meng-Yuan], Duan, Y.P.[Yu-Ping],
Nonlocal Elastica Model for Sparse Reconstruction,
JMIV(62), No. 4, May 2020, pp. 532-548.
Springer DOI 2005
BibRef

Lu, C.Y.[Chen-Yang], Dubbelman, G.[Gijs],
Learning to complete partial observations from unpaired prior knowledge,
PR(107), 2020, pp. 107426.
Elsevier DOI 2008
2-D road layout hallucinating and 3-D vehicle shape completion. Completion, Partial observation, Weak supervision, Prior knowledge BibRef

Rana, M.S.[Md Sohel], Nibali, A.[Aiden], He, Z.[Zhen], Morgan, S.[Stuart],
Automated repair of fragmented tracks with 1D CNNs,
IVC(101), 2020, pp. 103982.
Elsevier DOI 2009
Multiple object tracking, Fragmented track repair, Occlusion handling BibRef

Kelm, A.P.[André Peter], Zölzer, U.[Udo],
Walk the Lines: Object Contour Tracing CNN for Contour Completion of Ships,
ICPR21(3993-4000)
IEEE DOI 2105
Image segmentation, Detectors, Prediction algorithms, Convolutional neural networks, Task analysis BibRef

Zhan, X.H.[Xiao-Hang], Pan, X.G.[Xin-Gang], Dai, B.[Bo], Liu, Z.W.[Zi-Wei], Lin, D.[Dahua], Loy, C.C.[Chen Change],
Self-Supervised Scene De-Occlusion,
CVPR20(3783-3791)
IEEE DOI 2008
Recover occlusions and complete objects. Training, Manuals, Task analysis, Testing, Cognition, Image segmentation, Toy manufacturing industry BibRef

Barnea, E., Ben-Shahar, O.,
Curve Reconstruction via the Global Statistics of Natural Curves,
CVPR18(3099-3107)
IEEE DOI 1812
Image reconstruction, Shape, Task analysis, Image edge detection, Computational modeling, Visualization, Art BibRef

Zhang, X.H.[Xin-Hua], Watkins, Y.J.[Yi-Jing], Kenyon, G.T.[Garrett T.],
Can Deep Learning Learn the Principle of Closed Contour Detection?,
ISVC18(455-460).
Springer DOI 1811
BibRef

Yang, F.[Fang], Bruckstein, A.M.[Alfred M.], Cohen, L.D.[Laurent D.],
PointFlow: A Model for Automatically Tracing Object Boundaries and Inferring Illusory Contours,
EMMCVPR17(485-498).
Springer DOI 1805
BibRef

Sasaki, K., Iizuka, S., Simo-Serra, E., Ishikawa, H.,
Joint Gap Detection and Inpainting of Line Drawings,
CVPR17(5768-5776)
IEEE DOI 1711
Computational modeling, Convolution, Data models, Feature extraction, Image segmentation, Training, Training, data BibRef

Zheng, W.[Wei], Zhang, Q.[Qian], Li, Z.X.[Zhi-Xuan], Xiong, J.J.[Jun-Jun],
Pairing Contour Fragments for Object Recognition,
MMMod16(I: 212-225).
Springer DOI 1601
BibRef

Hayashi, T.[Takahiro], Kato, M.[Misato],
Contour completion of partly occluded objects for more natural raster-vector conversion,
ICIP13(3527-3531)
IEEE DOI 1402
amodal completion BibRef

Carlini, E.[Elisabetta], Ferretti, R.[Roberto],
A Semi-Lagrangian scheme for area preserving flows,
ICPR12(2029-2033).
WWW Link. 1302
Mean Curvature flow, curve completion Sapiro and Tannenbaum. BibRef

Chen, D.P.[Da-Peng], Yuan, Z.[Zejian], Zhang, G.[Geng], Zheng, N.N.[Nan-Ning],
Detecting occlusion boundaries via saliency network,
ICPR12(2569-2572).
WWW Link. 1302
BibRef

Ming, Y.S.[Yan-Sheng], Li, H.D.[Hong-Dong], He, X.M.[Xu-Ming],
Connected contours: A new contour completion model that respects the closure effect,
CVPR12(829-836).
IEEE DOI 1208
BibRef

Guo, Y.L.[Yu-Liang], Kumar, N.[Naman], Narayanan, M.[Maruthi], Kimia, B.B.[Benjamin B.],
A Multi-stage Approach to Curve Extraction,
ECCV14(I: 663-678).
Springer DOI 1408
BibRef

Narayanan, M.[Maruthi], Kimia, B.B.[Benjamin B.],
To complete or not to complete: Gap completion in real images,
POCV12(47-54).
IEEE DOI 1207
BibRef

Dillard, S.E.[Scott E.], Prasad, L.[Lakshman], Grazzini, J.[Jacopo],
Region and Edge-Adaptive Sampling and Boundary Completion for Segmentation,
ISVC10(II: 64-74).
Springer DOI 1011
BibRef

Kubota, T.[Toshiro],
Fixation driven contour completion with angular ordering,
POCV10(57-63).
IEEE DOI 1006
BibRef

Zou, Q.[Qi], Luo, S.W.[Si-Wei], Huang, Y.P.[Ya-Ping], Li, Y.[Yan],
Contour grouping with shape manifold and distance transform,
ICPR08(1-4).
IEEE DOI 0812
In clutter BibRef

Huang, R.[Rui], Sang, N.[Nong], Tang, Q.[Qiling],
Approximation of salient contours in cluttered scenes,
ICPR08(1-4).
IEEE DOI 0812
BibRef

Zhang, X.[Xi], Tsang, W.M.[Wai-Ming], Tian, X.D.[Xiao-Dong], Yamazaki, K.[Kazuo], Mori, M.[Masahiko],
Automatic Segmentation of the Apparent Contour for 3D Modeling of Cutting Tools from Single View,
ISVC08(II: 772-781).
Springer DOI 0812
BibRef

Sala, P.[Pablo], Macrini, D.[Diego], Dickinson, S.J.[Sven J.],
Spatiotemporal Contour Grouping Using Abstract Part Models,
ACCV10(IV: 539-552).
Springer DOI 1011
BibRef

Sala, P.[Pablo], Dickinson, S.J.[Sven J.],
3-D Volumetric Shape Abstraction from a Single 2-D Image,
3DRR15(796-804)
IEEE DOI 1602
Databases BibRef

Sala, P.[Pablo], Dickinson, S.J.[Sven J.],
Contour Grouping and Abstraction Using Simple Part Models,
ECCV10(V: 603-616).
Springer DOI 1009
BibRef
Earlier:
Model-based perceptual grouping and shape abstraction,
Tensor08(1-8).
IEEE DOI 0806
BibRef

Walton, D.J., Meek, D.S.,
An Improved Euler Spiral Algorithm for Shape Completion,
CRV08(237-244).
IEEE DOI 0805
BibRef

Hirose, O.[Osamu], Nagao, T.[Tomoharu],
Anisotropic Potential Field Maximization Model for Subjective Contour from Line Figure,
ISVC07(I: 310-320).
Springer DOI 0711
BibRef

Baudour, A.[Alexis], Aubert, G.[Gilles], Blanc-Féraud, L.[Laure],
Detection and Completion of Filaments: A Vector Field and PDE Approach,
SSVM07(451-460).
Springer DOI 0705
BibRef

Laurendeau, D.[Denis], Boulanov, O.[Oleg],
Shape-Based Contour Interpolation and Extrapolation Using Distance Mapping,
ICPR06(IV: 659-662).
IEEE DOI 0609
BibRef

Fulvio, J.M.[Jacqueline M.], Singh, M.[Manish], Maloney, L.T.[Laurence T.],
Consistency of location and gradient judgments of visually-interpolated contours,
PercOrg06(186).
IEEE DOI 0609
BibRef

Singh, M.[Manish], Fulvio, J.M.[Jacqueline M.],
Contour extrapolation using probabilistic cue combination,
PercOrg06(188).
IEEE DOI 0609
BibRef

Felzenszwalb, P.F.[Pedro F.], McAllester, D.[David],
A Min-Cover Approach for Finding Salient Curves,
PercOrg06(185).
IEEE DOI 0609
BibRef

Franken, E.[Erik], van Almsick, M.[Markus], Rongen, P.[Peter], Florack, L.M.J.[Luc M.J.], ter Haar Romeny, B.M.[Bart M.],
An Efficient Method for Tensor Voting Using Steerable Filters,
ECCV06(IV: 228-240).
Springer DOI 0608
for curves. BibRef

Mordohai, P.[Philippos], Medioni, G.[Gérard],
Junction Inference and Classification for Figure Completion using Tensor Voting,
PercOrg04(56).
IEEE DOI 0502
BibRef

Osian, M., Tuytelaars, T., Van Gool, L.J.,
Fitting Superellipses to Incomplete Contours,
PercOrg04(49).
IEEE DOI 0502
BibRef

Johnston, L.A.[Leigh. A.], Elder, J.H.[James. H.],
Efficient Computation of Closed Contours using Modified Baum-Welch Updating,
PercOrg04(48).
IEEE DOI 0502
BibRef

Ren, X., Malik, J.,
A Probabilistic Multi-scale Model for Contour Completion Based on Image Statistics,
ECCV02(I: 312 ff.).
Springer DOI 0205
BibRef

Cooper, P., Hyun, S., Yuen, P.,
A Markov Random Field Model of Subjective Contour Perception,
ICPR96(IV: 100-104).
IEEE DOI 9608
(Northwestern Univ., USA) BibRef

Ben-Yacoub, S.,
Detecting Subjective Contours with the Hierarchical Hough Transform,
ICIPA95(365-370). Hough Transform. Subjective Contours. BibRef 9500

Lohmann, G.[Gabriele],
A new method of extracting closed contours using maximal discs,
CAIP95(472-479).
Springer DOI 9509
BibRef

Skrzypek, J., Ringer, B.,
Neural network models for illusory contour perception,
CVPR92(681-683).
IEEE DOI 0403
BibRef

Pervin, E.[Edward], Webb, J.A.[Jon A.],
The Shape of Subjective Contours,
AAAI-84(340-343). BibRef 8400

Brady, M., Grimson, W.E.L., and Langridge, D.J.,
Shape Encoding and Subjective Contours,
AAAI-80(15-17). BibRef 8000

Brady, M., and Grimson, W.E.L.,
The Perception of Subjective Surfaces,
MIT AI Memo-666, November 1981. BibRef 8111

Chapter on Computational Vision, Regularization, Connectionist, Morphology, Scale-Space, Perceptual Grouping, Wavelets, Color, Sensors, Optical, Laser, Radar continues in
Grouping, Figure-Ground, Background, Foreground .