17.2.6 Discontinuous Optic Flow Computation, Occlusions

Buxton, B.F., Buxton, H.,
Computation of Optic Flow from the Motion of Edge Features in Image Sequences,
IVC(2), No. 2, May 1984, pp. 59-75.
WWW Version. See also Monocular Depth Perception from Optical Flow by Space Time Signal Processing. BibRef 8405

Buxton, B.F., Murray, D.W.,
Optic Flow Segmentation as an Ill-Posed and Maximum Likelihood Problem,
IVC(3), No. 4, November 1985, pp. 163-169.
WWW Version. BibRef 8511

Murray, D.W., Buxton, B.F.,
Reconstructing the Optic Flow Field from Edge Motion: An Examination of Two Different Approaches,
CAIA84(382-388). BibRef 8400

Schunck, B.G.[Brian],
Image Flow Segmentation and Estimation by Constraint Line Clustering,
PAMI(11), No. 10, October 1989, pp. 1010-1027.
IEEE Abstract.
WWW Version. BibRef 8910
Earlier:
Image Flow: Fundamentals and Algorithms,
MU88(23-80). BibRef
And:
Motion Segmentation and Estimation by Constraint Line Filtering,
CVWS84(58-62). Survey, Motion. Motion, Survey. Optical Flow, Evaluation. This papers discusses techniques for image flow analysis with discontinuities in the flow. BibRef

Thompson, W.B., Mutch, K.M., and Berzins, V.B.,
Dynamic Occlusion Analysis in Optical Flow Fields,
PAMI(7), No. 4, July 1985, pp. 374-383. BibRef 8507
Earlier: Univ. of MinnesotaComp. Sci. 84-6, May 1984. An expanded version of: BibRef
Edge Detection in Optical Flow Fields,
AAAI-82(26-29). Edge Detection. The application of the Marr-Hildreth zero crossing technique edge detection to vector fields. Apply the operator to each component then combine them to find 2-d zero-crossings (i.e. zero crossings in one component) - change in the vector of 180 (approx). BibRef

Thompson, W.B.[William B.],
Exploiting Discontinuities in Optical Flow,
IJCV(30), No. 3, December 1998, pp. 163-173.
WWW Version. BibRef 9812

Thompson, W.B., Mutch, K.M., and Berzins, V.A.,
Analyzing Object Motion Based on Optical Flow,
ICPR84(791-794). BibRef 8400

Shulman, D., Aloimonos, Y.,
(Non-) Rigid Motion Interpretation: A Regularized Approach,
RoyalP(B-233), 1988, pp. 217-234. BibRef 8800

Shulman, D., and Herve, J.Y.,
Regularization of Discontinuous Flow Fields,
Motion89(81-86). Regularization. BibRef 8900

Mahmoud, S.A.,
Motion Analysis of Multiple Moving Objects Using Hartley Transform,
SMC(21), 1991, pp. 280-287. BibRef 9100

Schnorr, C.,
Determining Optical Flow for Irregular Domains by Minimizing Quadratic Functionals of a Certain Class,
IJCV(6), No. 1, April 1991, pp. 25-38.
Springer DOI Link Addresses the solution of equations of See also Determining Optical Flow. and See also On the Estimation of Optical Flow: Relations between Different Approaches and Some New Results. approaches to optical flow. BibRef 9104

Schnorr, C.,
Computation of Discontinuous Optical Flow by Domain Decomposition and Shape Optimization,
IJCV(8), No. 2, August 1992, pp. 153-165.
Springer DOI Link BibRef 9208
Earlier: BMVC90(xx-yy).
PDF Version. 9009
See also Theoretical Framework for Convex Regularizers in PDE-Based Computation of Image Motion, A. BibRef

Schnorr, C.,
On Functionals with Greyvalue-Controlled Smoothness Terms for Determining Optical Flow,
PAMI(15), No. 10, October 1993, pp. 1074-1079.
IEEE Abstract.
WWW Version. BibRef 9310

Schnorr, C.,
Unique Reconstruction of Piecewise Smooth Images by Minimizing Strictly Convex Nonquadratic Functionals,
JMIV(4), 1994, pp. 189-198. BibRef 9400
Earlier:
Segmentation of Visual Motion by Minimizing Convex Non-Quadratic Functionals,
ICPR94(A:661-663).
IEEE DOI Link BibRef

Nesi, P.,
Variational Approach to Optical-Flow Estimation Managing Discontinuities,
IVC(11), No. 7, September 1993, pp. 419-439.
WWW Version. BibRef 9309

Zheng, H.Y., Blostein, S.D.,
An Error-Weighted Regularization Algorithm for Image Motion-Field Estimation,
IP(2), No. 2, April 1993, pp. 246-252.
IEEE DOI Link BibRef 9304

Namazi, N.M., Lee, C.H.,
Nonuniform Image Motion Estimation from Noisy Data,
ASSP(38), No. 2, February 1990, pp. 364-366. BibRef 9002

Fan, C.M.[Chieh-Min], Namazi, N.M.,
Image motion estimation from blurred and noisy image sequences,
ICIP98(II: 228-232).
IEEE DOI Link 9810
BibRef
Earlier:
Estimation of image motion parameters using the EM algorithm,
ICIP95(I: 195-198).
IEEE DOI Link 9510
BibRef

Fan, C.M., Namazi, N.M.,
Simultaneous Motion Estimation and Filtering of Image Sequences,
IP(8), No. 12, December 1999, pp. 1788-1795.
IEEE DOI Link 9912
BibRef
Earlier: ICIP97(II: 156-159).
IEEE DOI Link BibRef
Earlier:
Simultaneous Parameter Estimation and Image Segmentation for Image Sequence Coding,
ICASSP96(XX) BibRef
And:
Simultaneous motion parameter estimation and image segmentation using the EM algorithm,
ICIP95(I: 542-545).
IEEE DOI Link 9510
See also Nonuniform Image Motion Estimation Using Kalman Filtering. See also Bayes Decision Test for Detecting Uncovered Background and Moving Pixels in Image Sequences, A. BibRef

Namazi, N.M., Lipp, J.I.,
Nonuniform Image Motion Estimation Using the Maximum a Posteriori Principle,
IP(1), No. 4, October 1992, pp. 520-525.
IEEE DOI Link BibRef 9210

Namazi, N.M., Lipp, J.I.,
Nonuniform Image Motion Estimation in Reduced Coefficient Transformed-Domains,
IP(2), No. 2, April 1993, pp. 236-246.
IEEE DOI Link BibRef 9304

Namazi, N.M., Penafiel, P.B., Fan, C.M.,
Nonuniform Image Motion Estimation Using Kalman Filtering,
IP(3), No. 5, September 1994, pp. 678-683.
IEEE DOI Link See also Simultaneous Motion Estimation and Filtering of Image Sequences. BibRef 9409

Fan, C.M., Namazi, N.M., Penafiel, P.B.,
A New Image Motion Estimation Algorithm Based on the EM Technique,
PAMI(18), No. 3, March 1996, pp. 348-352.
IEEE Abstract.
WWW Version. Expectation-Maximization. Impose, smoothness constraint. Use low-pass property of the motion. DCT representation for motion. BibRef 9603

Namazi, N.M., Foxall, D.W.,
On the Convergence of the Generalized Maximum Likelihood Algorithm for Nonuniform Image Motion Estimation,
IP(1), No. 1, January 1992, pp. 116-119.
IEEE DOI Link BibRef 9201
And: Correction: IP(1), No. 3, 1992, pp. 440. BibRef

Wu, S.F., Kittler, J.V.,
A Gradient-Based Method For General Motion Estimation And Segmentation,
JVCIR(4), 1993, pp. 25-38. BibRef 9300

Otte, M., Nagel, H.H.,
Estimation of Optical-Flow Based on Higher-Order Spatiotemporal Derivatives in Interlaced and Noninterlaced Image Sequences,
AI(78), No. 1-2, October 1995, pp. 5-43.
WWW Version. BibRef 9510
Earlier:
Optical Flow Estimation: Advances and Comparisons,
ECCV94(A:49-60).
Springer DOI Link BibRef

Nagel, H.H., Socher, G., Kollnig, H., Otte, M.,
Motion Boundary Detection in Image Sequences by Local Stochastic Tests,
ECCV94(B:305-315).
Springer DOI Link BibRef 9400

Nagel, H.H., Gehrke, A.,
Spatiotemporally Adaptive Estimation and Segmentation of Optical Flow Fields,
ECCV98(II: 86).
WWW Version. BibRef 9800

Middendorf, M.[Markus], Nagel, H.H.[Hans-Hellmut],
Estimation and Interpretation of Discontinuities in Optical Flow Fields,
ICCV01(I: 178-183).
IEEE DOI Link 0106
BibRef

Huntsberger, T.L., Jayaramamurthy, S.N.,
Determination of the Optic Flow Field in the Presence of Occlusion,
PRL(8), 1988, pp. 325-333. See also Determination of the Optic Flow Field Using the Spatiotemporal Deformation of Region Properties. BibRef 8800

Reddi, S., Loizou, G.,
First-Order Algorithm with Three Clusters of Optical-Flow Vectors,
IJIST(7), No. 1, Spring 1996, pp. 33-40. BibRef 9600

Chang, M.M., Tekalp, A.M., Sezan, M.I.,
Simultaneous Motion Estimation and Segmentation,
IP(6), No. 9, September 1997, pp. 1326-1333.
IEEE DOI Link 9709
Optical flow estimation and segmentation. BibRef

Convertino, G., Stella, E., Branca, A., Distante, A.,
Optic Flow Estimation by a Hopfield Neural-Network Using Geometrical Constraints,
MVA(10), No. 3, 1997, pp. 114-122.
HTML Version. 9709
BibRef
Earlier: A3, A1, A2, A4:
A Neural Network for Egomotion Estimation from Optical Flow,
BMVC95(xx-yy).
PDF Version. 9509
BibRef

Branca, A., Attolico, G., Stella, E., Distante, A.,
Classification and Segmentation of Vector Flow-Fields Using a Neural-Network,
MVA(10), No. 4, 1997, pp. 174-187.
HTML Version. 9801
BibRef

Sim, D.G., Park, R.H.,
Robust Reweighted MAP Motion Estimation,
PAMI(20), No. 4, April 1998, pp. 353-365.
IEEE Abstract.
WWW Version. 9806
Comparisons with Black/Anandan ( See also Robust Estimation of Multiple Motions: Parametric and Piecewise-Smooth Flow-Fields, The. ), Weber/Malik ( See also Rigid-Body Segmentation and Shape-Description from Dense Optical-Flow Under Weak Perspective. ) and Bober/Kittler ( See also Robust Motion Analysis. ). BibRef

Aubert, G., Kornprobst, P.,
A Mathematical Study of the Relaxed Optical Flow Problem in the Space V,
MathAnal(30), No. 6, 1999, pp. 1282-1308.
WWW Version. or:
Postscript Version. BibRef 9900

Kornprobst, P.[Pierre], Deriche, R.[Rachid], Aubert, G.[Gilles],
Image Sequence Analysis via Partial Differential Equations,
JMIV(11), No. 1, September 1999, pp. 5-26.
WWW Version. BibRef 9909
Earlier:
Image Sequence Restoration: A PDE-Based Coupled Method for Image Restoration and Motion Segmentation,
ECCV98(II: 548).
WWW Version. BibRef
And: INRIANo. 3308, November 1997.
Postscript Version. BibRef
Earlier:
Image Coupling, Restoration and Enhancement via PDE's,
ICIP97(II: 458-461).
IEEE DOI Link
Postscript Version. BibRef

Deriche, R., Kornprobst, P., and Aubert, G.,
Optical Flow Estimation While Preserving its Discontinuities: A Variational Approach,
ACCV95(xx-yy).
Postscript Version. BibRef 9500

Beauchemin, S.S.[Steven S.], Barron, J.L.[John L.],
The Frequency Structure of 1D Occluding Image Signals,
PAMI(22), No. 2, February 2000, pp. 200-206.
IEEE Abstract.
WWW Version. 0003
Analysis of the changes along occluding line. BibRef

Beauchemin, S.S.[Steven S.], Barron, J.L.[John L.],
On the Fourier Properties of Discontinuous Motion,
JMIV(13), No. 3, December 2000, pp. 155-172.
WWW Version. 0106
BibRef

Martens, H.A.[Harald Aagaard], Reberg, J.O.[Jan Otto],
Method and apparatus for depth modelling and providing depth information of moving objects,
US_Patent6,252,974, Jun 26, 2001
WWW Version. occlusions BibRef 0106

Amiaz, T.[Tomer], Kiryati, N.[Nahum],
Piecewise-Smooth Dense Optical Flow via Level Sets,
IJCV(68), No. 2, June 2006, pp. 111-124.
Springer DOI Link 0606
Active Contours. BibRef
Earlier:
Dense Discontinuous Optical Flow via Contour-Based Segmentation,
ICIP05(III: 1264-1267).
IEEE DOI Link 0512
Embed ( See also High Accuracy Optical Flow Estimation Based on a Theory for Warping. ) within a 2 phase active contour model. Piecewise smooth flow fields and crisp boundaries. Apply level set methods. BibRef

Amiaz, T.[Tomer], Lubetzky, E.[Eyal], Kiryati, N.[Nahum],
Coarse to over-fine optical flow estimation,
PR(40), No. 9, September 2007, pp. 2496-2503.
WWW Version. 0705
Optical flow BibRef

Fransens, R.[Rik], Strecha, C.[Christoph], Van Gool, L.J.[Luc J.],
Optical flow based super-resolution: A probabilistic approach,
CVIU(106), No. 1, April 2007, pp. 106-115.
WWW Version. 0704
BibRef
Earlier:
Robust Estimation in the Presence of Spatially Coherent Outliers,
RANSAC06(102).
IEEE DOI Link 0609
BibRef
And:
A Mean Field EM-algorithm for Coherent Occlusion Handling in MAP-Estimation Prob,
CVPR06(I: 300-307).
IEEE DOI Link 0606
BibRef
Earlier:
A Probabilistic Approach to Optical Flow based Super-Resolution,
GenModel04(191).
IEEE DOI Link 0406
BibRef
Earlier: A2, A1, A3:
A Probabilistic Approach to Large Displacement Optical Flow and Occlusion Detection,
SMVP04(71-82).
WWW Version. 0505
Super-resolution; Optical flow; Visibility computation; EM See also Combined Depth and Outlier Estimation in Multi-View Stereo. BibRef

Ince, S.[Serdar], Konrad, J.[Janusz],
Occlusion-Aware Optical Flow Estimation,
IP(17), No. 8, August 2008, pp. 1443-1451.
IEEE DOI Link 0808
See also Occlusion-Aware View Interpolation. BibRef

Brune, C.[Christoph], Maurer, H.[Helmut], Wagner, M.[Marcus],
Detection Of Intensity And Motion Edges Within Optical Flow Via Multidimensional Control,
SIIMS(2), No. 4, 2009, pp. 1190-1210. optical flow; edge detection; partial differential equation constrained optimization; optimal control problem; direct methods
WWW Version.
WWW Version. 1002
BibRef

Sundberg, P.[Patrik], Brox, T.[Thomas], Maire, M.[Michael], Arbelaez, P.[Pablo], Malik, J.[Jitendra],
Occlusion boundary detection and figure/ground assignment from optical flow,
CVPR11(2233-2240).
IEEE DOI Link 1106
BibRef

Shen, X.H.[Xiao-Hui], Wu, Y.[Ying],
Exploiting sparsity in dense optical flow,
ICIP10(741-744).
IEEE DOI Link 1009
BibRef
And:
Sparsity model for robust optical flow estimation at motion discontinuities,
CVPR10(2456-2463).
IEEE DOI Link 1006
BibRef

Chen, F.L.[Fa-Ling], Luo, H.B.[Hai-Bo],
A Robust and Discontinuity-Preserving Approach to Optical Flow Estimation,
CISP09(1-5).
IEEE DOI Link 0910
BibRef

Ren, X.F.[Xiao-Feng],
Local grouping for optical flow,
CVPR08(1-8).
IEEE DOI Link 0806
BibRef

Cassisa, C., Simoens, S., Prinet, V.,
Two-Frame Optical Flow Formulation in an Unwarping Multiresolution Scheme,
CIARP09(790-797).
Springer DOI Link 0911
BibRef

Prinet, V., Cassisa, C., Tang, F.F.,
MRF Modeling for Optical Flow Computation from Multi-Structure Objects,
ICIP06(1093-1096). 0610

IEEE DOI Link BibRef

Xiao, J.J.[Jiang-Jian], Cheng, H.[Hui], Sawhney, H.S.[Harpreet S.], Rao, C.[Cen], Isnardi, M.[Michael],
Bilateral Filtering-Based Optical Flow Estimation with Occlusion Detection,
ECCV06(I: 211-224).
Springer DOI Link 0608
BibRef

Zitnick, C.L.[C. Lawrence], Jojic, N.[Nebojsa], Kang, S.B.[Sing Bing],
Consistent Segmentation for Optical Flow Estimation,
ICCV05(II: 1308-1315).
IEEE DOI Link 0510
BibRef

Molton, N., Davison, A., Reid, I.,
Locally Planar Patch Features for Real-Time Structure from Motion,
BMVC04(xx-yy).
HTML Version. 0508
BibRef

Jiang, H.[Hao], Li, Z.N.[Ze-Nian], Drew, M.S.,
Optimizing motion estimation with linear programming and detail-preserving variational method,
CVPR04(I: 738-745).
IEEE Abstract. 0408
Two images. BibRef

Laurent, N.,
Hierarchical Mesh-based Global Motion Estimation, Including Occlusion Areas Detection,
ICIP00(Vol III: 620-623).
IEEE Abstract. 0008
BibRef

Guichard, F.[Frederic], Rudin, L.[Lenny],
Accurate Estimation of Discontinuous Optical Flow by Minimizing Divergence Related Functionals,
ICIP96(I: 497-500).
IEEE DOI Link BibRef 9600

Hebert, T.J., Yang, X.,
A sequential algorithm for motion estimation from point correspondences with intermittent occlusions,
ICIP95(II: 221-224).
IEEE DOI Link 9510
BibRef

Proesmans, M., Van Gool, L.J., Pauwels, E.J., Oosterlinck, A.,
Determination of Optical Flow and Its Discontinuities Using Non-Linear Diffusion,
ECCV94(B:294-304).
Springer DOI Link BibRef 9400

Spetsakis, M.E.[Minas E.],
Optical Flow Estimation Using Discontinuity Conforming Filters,
BMVC94(xx-yy).
PDF Version. 9409
BibRef

Anandan, P.,
Computing Dense Fields Displacement with Confidence Measures in Scenes Containing Occlusion,
DARPA84(236-246). BibRef 8400

Raghavan, S., Gupta, S., Kanal, L.N.,
Computing Discontinuity-Preserved Image Flow,
ICPR92(I:764-767).
IEEE DOI Link BibRef 9200

Chapter on Optical Flow Field Computations and Use continues in
Optical Flow -- Hierarchical, Multi-Grid, Multi-Scale Approaches .