17.2.7 Optical Flow -- Hierarchical, Multi-Grid, Multi-Scale Approaches

Terzopoulos, D.[Demetri],
Image Analysis Using Multigrid Relaxation Methods,
PAMI(8), No. 2, March 1986, pp. 129-139. Relaxation. BibRef 8603
Earlier:
Concurrent Multiple Relaxation,
DARPA85(156-162). BibRef
Earlier:
Multigrid Relaxation Methods and the Analysis of Lightness, Shading and Flow,
MIT AI Memo-803, October 1984.
WWW Version. See also Computation of Visible-Surface Representations, The. Use the constraints at other levels, simple description is that these are just included in the weighted sum. There are no references to the classical relaxation work, even if it does not do anything at the multiple levels. BibRef

Enkelmann, W.[Wilfried],
Investigation of Multigrid Algorithms for the Estimation of Optical Flow Fields in Image Sequences,
CVGIP(43), No. 2, August 1988, pp. 150-177.
WWW Version. BibRef 8808
Earlier: Motion86(81-87). Multiple resolution (cue the coarse directions to guide the smoothing at the finer resolutions) is used to improve the results. Some of the best real examples of optical flow results. BibRef

Hutchinson, J.[James], Koch, C., Luo, J., and Mead, C.,
Computing Motion Using Analog and Binary Resistive Networks,
Computer(21), No. 3, March 1988, pp. 52-63. BibRef 8803

Battiti, R., Amaldi, E., and Koch, C.,
Computing Optical Flow across Multiple Scales: An Adaptive Coarse-to-Fine Strategy,
IJCV(6), No. 2, June 1991, pp. 133-145. BibRef 9106

Horiuchi, T., Bair, W., Bishofberger, B., Moore, A., Koch, C., and Lazzaro, J.,
Computing Motion Using Analog VLSI Vision Chips: An Experimental Comparison among Different Approaches,
IJCV(8), No. 3, 1992, pp. 203-216. BibRef 9200
Earlier: A5, A4, A2, A1, A3, A7, Only: "Different" was "Four": Motion91(312-324). BibRef

Harris, J.G., Koch, C., Staats, E., and Lou, J.,
Analog Hardware for Detecting Discontinuities in Early Vision,
IJCV(4), No. 3, 1990, pp. 211-223. See also Analog Network for Continuous-Time Segmentation, An. BibRef 9000

Koch, C., Wang, H.T., Battiti, R., Mathur, B., and Ziomkowski, C.,
An Adaptive Multi-Scale Approach for Estimating Optical Flow: Computational Theory and Physiological Implementation,
Motion91(111-122). BibRef 9100

Dengler, J., Schmidt, M.,
The Dynamic Pyramid: A Model for Motion Analysis with Controlled Continuity,
PRAI(2), 1988, pp. 275-286. BibRef 8800

Dengler, J.,
Local Motion Estimation with the Dynamic Pyramid,
ICPR86(1289-1292). BibRef 8600

Dengler, J.,
Estimation of Discontinuous Displacement Vector Fields with the Minimum Description Length Criterion,
CVPR91(276-282).
IEEE Abstract. IEEE Top Reference. BibRef 9100
And: MIT AI Memo-1265, October 1990, Scale Space. BibRef

Hwang, S.H., Lee, S.U.,
A Hierarchical Optical Flow Estimation Algorithm Based on the Interlevel Motion Smoothness Constraint,
PR(26), No. 6, June 1993, pp. 939-952.
WWW Version. BibRef 9306

Luettgen, M.R., Karl, W.C., Willsky, A.S.,
Efficient Multiscale Regularization With Applications To The Computation Of Optical Flow,
IP(3), No. 1, January 1994, pp. 41-64.
WWW Version. BibRef 9401

Anandan, P.,
Measuring Visual Motion from Image Sequences,
Ph.D.Thesis (CS), 1987, BibRef 8700 COINSU Mass. BibRef

Anandan, P.,
A Computational Framework and an Algorithm for the Measurement of Visual Motion,
IJCV(2), No. 3, January? 1989, pp. 283-310. BibRef 8901
Earlier:
A Unified Perspective on Computational Techniques for the Measurement of Visual Motion,
ICCV87(219-230). BibRef
And: DARPA87(719-732). Scale Space. A continuation of the prior work. Use a hierarchical scale space approach to the process. BibRef

Meghabghab, G., Kandel, A.,
Hierarchical Analysis of Visual Motion,
SMC(22), 1992, pp. 813-820. BibRef 9200

Konrad, J., and Dubois, E.,
Bayesian Estimation of Motion Vector Fields,
PAMI(14), No. 9, September 1992, pp. 910-927.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9209
Earlier:
Multigrid Bayesian Estimation of Image Motion Fields Using Stochastic Relaxation,
ICCV88(354-362).
IEEE Abstract. IEEE Top Reference. Relaxation. Generate dense vector fields. Multiple resolution approach. BibRef

Konrad, J.[Janusz], Dubois, E.[Eric],
A Comparison of Stochastic and Deterministic Solution Methods in Bayesian Estimation of 2-D Motion,
IVC(9), No. 4, August 1991, pp. 215-228.
WWW Version. BibRef 9108
Earlier: ECCV90(149-160).
WWW Version. Optical flow using MAP. Earlier note had: IVC(8), No. 4, November 1990, pp. 304-317. Newer is from current online listing. BibRef

Mitiche, A., Wang, Y.F., and Aggarwal, J.K.,
Experiments in Computing Optical Flow with the Gradient-Based, Multiconstraint Method,
PR(20), No. 2, 1987, pp. 173-179.
WWW Version. This paper presents results on camera acquired images using feature operators to derive image functions for the data. The method is a multiconstraint approach. BibRef 8700

Xie, K., van Eycken, L., Oosterlinck, A.,
Hierarchical Motion Estimation with Smoothness Constraints and Postprocessing,
OptEng(35), No. 1, January 1996, pp. 145-155. BibRef 9601

Song, S., Liao, M., Qin, J.,
Multiresolution Image Motion Detection and Displacement Estimation,
MVA(3), 1990, pp. 17-20. See also Multiresolution Image Dynamic Thresholding. BibRef 9000

Yang, Q., Ma, S.D.,
Intrinsic Multiscale Representation Using Optical Flow in the Scale-Space,
IP(8), No. 3, March 1999, pp. 444-447.
WWW Version. BibRef 9903

Close, R.[Robert], Tamura, S.[Shinichi], Naito, H.[Hiroaki],
Estimation of motion from sequential images using integral constraints,
PR(28), No. 1, January 1995, pp. 1-9.
WWW Version. 0401The equations which transform arbitrary integrals between sequential images are expressed as a function of the displacement field and intensity changes. The apparent displacement field is then computed by iterative projections onto the solution space of each linearized transformation equation. BibRef

Mahzoun, M.R.[Mohammad Reza], Kim, J.W.[Jin-Woo], Sawazaki, S.[Satoru], Okazaki, K.[Kozo], Tamura, S.[Shinichi],
A scaled multigrid optical flow algorithm based on the least RMS error between real and estimated second images,
PR(32), No. 4, April 1999, pp. 657-670.
WWW Version. BibRef 9904

Yacoob, Y.[Yaser], Davis, L.S.[Larry S.],
Temporal Multi-Scale Models for Flow and Acceleration,
IJCV(32), No. 2, September 1999, pp. 147-163.
WWW Version. BibRef 9909
Earlier: CVPR97(921-927).
IEEE Abstract. IEEE Top Reference.
WWW Version. 9704Image acceleration. See also Learned Models for Estimation of Rigid and Articulated Human Motion from Stationary or Moving Camera. BibRef

Yacoob, Y.[Yaser], Davis, L.S.[Larry S.],
Temporal Multi-Scale Models for Image Motion Estimation,
DARPA97(135-142). BibRef 9700

Yacoob, Y.[Yaser], and Davis, L.S.[Larry S.],
Estimating Image Motion Using Temporal Multi-Scale Optical Flow and Acceleration,
MBR97(Chapter 2) Maryland. BibRef 9700

Kim, J.D.[Jong Dae], Mitra, S.K.[Sanjit K.],
A local relaxation method for optical flow estimation,
SP:IC(11), No. 1, November 1997, pp. 21-38.
WWW Version. BibRef 9711

Cohen, I.[Isaac], Herlin, I.[Isabelle],
Non Uniform Multiresolution Method for Optical Flow and Phase Portrait Models: Environmental Applications,
IJCV(33), No. 1, September 1999, pp. 29-49.
WWW Version. BibRef 9909
Earlier:
Optical Flow and Phase Portrait Methods for Environmental Satellite Image Sequences,
ECCV96(II:141-150).
WWW Version. BibRef
And: INRIARR 2819, March 1996.
HTML Version. BibRef
And:
A Motion Computation and Interpretation Framework for Oceanographic Satellite Images,
SCV95(13-18).
IEEE Top Reference.
HTML Version. INRIA. Regularization. Adaptive mesh for computations. BibRef

Herlin, I.[Isabelle], Cohen, I.[Isaac], and Bouzidi, S.[Sonia],
Detection and Tracking of Vortices on Oceanographic Images,
SCIA95(xx). BibRef 9500

Cohen, I.[Isaac],
Nonlinear Variational Method for Optical Flow Computation,
SCIA93(523-530). BibRef 9300

Alvarez, L.[Luis], Weickert, J.[Joachim], Sánchez, J.[Javier],
Reliable Estimation of Dense Optical Flow Fields with Large Displacements,
IJCV(39), No. 1, August 2000, pp. 41-56.
WWW Version. 0008 BibRef
Earlier:
A Scale-Space Approach to Nonlocal Optical Flow Calculations,
ScaleSpace99(235-246). See also Dense Disparity Map Estimation Respecting Image Discontinuities: A PDE and Scale-Space Based Approach. BibRef

Alvarez, L.[Luis], Deriche, R.[Rachid], Papadopoulo, T.[Théo], Sánchez, J.[Javier],
Symmetrical Dense Optical Flow Estimation with Occlusions Detection,
IJCV(75), No. 3, December 2007, pp. 371-385.
WWW Version. 0710 BibRef
Earlier: ECCV02(I: 721 ff.).
HTML Version. 0205 BibRef

Kim, J.D.[Jong-Dae], Kim, J.W.[Jong-Won],
Effective nonlinear approach for optical flow estimation,
SP(81), No. 10, October 2001, pp. 2249-2252.
HTML Version. 0110 BibRef

Wu, Y.T.[Yu-Te], Kanade, T.[Takeo], Li, C.C.[Ching-Chung], Cohn, J.F.[Jeffrey F.],
Image Registration Using Wavelet-Based Motion Model,
IJCV(38), No. 2, July 2000, pp. 129-152.
WWW Version. 0008 BibRef

Wu, Y.T.[Yu-Te], Kanade, T.[Takeo], Cohn, J.F.[Jeffrey F.], and Li, C.C.[Ching-Chung],
Optical Flow Estimation Using Wavelet Motion Model,
ICCV98(992-998).
WWW Version.
PDF Version. BibRef 9800

Lefébure, M.[Martin], Cohen, L.D.[Laurent D.],
Image Registration, Optical Flow and Local Rigidity,
JMIV(14), No. 2, March 2001, pp. 131-147.
WWW Version.
PDF Version. 0106 BibRef
And: ScaleSpace01(xx-yy).
Postscript Version. 0106 BibRef
Earlier:
A Multiresolution Algorithm for Signal and Image Registration,
ICIP97(III: 252-255).
WWW Version. BibRef

Lefébure, M.[Martin], Cohen, L.D.[Laurent D.],
Optical Flow and Image Registration: A New Local Rigidity Approach for Global Minimization,
EMMCVPR02(592 ff.).
HTML Version. 0205 BibRef

Irani, M.[Michal],
Multi-Frame Correspondence Estimation Using Subspace Constraints,
IJCV(48), No. 3, July-August 2002, pp. 173-194.
WWW Version. 0207 BibRef
Earlier:
Multi-Frame Optical Flow Estimation using Subspace Constraints,
ICCV99(626-633).
WWW Version. Multi-frame constraints used to constrain the 2D correspondence. Variety of imaging models. See also Multiview Constraints on Homographies. BibRef

Garbe, C.S.[Christoph S.], Spies, H.[Hagen], Jähne, B.[Bernd],
Estimation of Surface Flow and Net Heat Flux from Infrared Image Sequences,
JMIV(19), No. 3, November 2003, pp. 159-174.
WWW Version. 0310 BibRef
Earlier:
Mixed OLS-TLS for the Estimation of Dynamic Processes with a Linear Source Term,
DAGM02(463 ff.).
HTML Version. 0303 BibRef

Kondermann, C.[Claudia], Kondermann, D.[Daniel], Jähne, B.[Bernd], Garbe, C.S.[Christoph S.],
An Adaptive Confidence Measure for Optical Flows Based on Linear Subspace Projections,
DAGM07(132-141).
WWW Version. 0709 BibRef

Andres, B.[Björn], Hamprecht, F.A.[Fred A.], Garbe, C.S.[Christoph S.],
Selection of Local Optical Flow Models by Means of Residual Analysis,
DAGM07(72-81).
WWW Version. 0709 BibRef

Bruhn, A.[Andrés], Weickert, J.[Joachim], Schnörr, C.[Christoph],
Lucas/Kanade Meets Horn/Schunck: Combining Local and Global Optic Flow Methods,
IJCV(61), No. 3, February-March 2005, pp. 211-231.
WWW Version. 0412 BibRef
Earlier:
Combining the Advantages of Local and Global Optic Flow Methods,
DAGM02(454 ff.).
HTML Version. 0303 BibRef

Gong, H.F.[Hai-Feng], Pan, C.[Chunhong], Yang, Q.[Qing], Lu, H.Q.[Han-Qing], Ma, S.[Songde],
Generalized optical flow in the scale space,
CVIU(105), No. 1, January 2007, pp. 86-92.
WWW Version. 0701Scale space; Optical flow; Segmentation; Filtering BibRef

Chamorro-Martínez, J.[Jesús], Fernndez-Valdivia , J.,
A New Approach to Motion Pattern Recognition and Its Application to Optical Flow Estimation,
SMC-C(37), No. 1, January 2007, pp. 39-51.
WWW Version. 0701 BibRef

Legrand, L., Dipanda, A., Marzani, F., Kardouchi, M.[Mustapha],
Using Fourier local magnitude in adaptive smoothness constraints in motion estimation,
PRL(28), No. 9, 1 July 2007, pp. 1019-1028.
WWW Version. 0704Motion estimation; Optical flow; Motion discontinuities; Fourier transform; Markov random fields BibRef

Florack, L.M.J.[Luc M.J.], Janssen, B.[Bart], Kanters, F.M.W.[Frans M.W.], Duits, R.[Remco],
Towards a New Paradigm for Motion Extraction,
ICIAR06(I: 743-754).
WWW Version. 0610 BibRef

Janssen, B.J., Florack, L.M.J., Duits, R., ter Haar Romeny, B.M.,
Optic Flow from Multi-scale Dynamic Anchor Point Attributes,
ICIAR06(I: 767-779).
WWW Version. 0610 BibRef

Alvino, C., Tannenbaum, A., Yezzi, A., Curry, C.,
Multigrid Computation of Rotationally Invariant Non-Linear Optical Flow,
ICIP05(III: 1296-1299).
WWW Version. 0512 BibRef

Yang, L.X.[Li-Xin], Sahli, H.,
A Nonlinear Multigrid Diffusion Model for Efficient Dense Optical Flow estimation,
ICIP05(I: 149-152).
WWW Version. 0512 BibRef

Ramírez-Manzanares, A.[Alonso], Rivera, M.[Mariano], Kornprobst, P.[Pierre], Lauze, F.[François],
A Variational Approach for Multi-valued Velocity Field Estimation in Transparent Sequences,
SSVM07(227-238).
WWW Version. 0705 BibRef

Lauze, F., Kornprobst, P., Memin, E.,
A Course to Fine Multiscale Approach for Linear Least Squares Optical Flow Estimation,
BMVC04(xx-yy).
HTML Version. 0508 BibRef

Li, M., Kambhamettu, C., Stone, M.,
A General Framework for 2D Multiframe and 3D Surface-to-surface Motion Estimation,
BMVC04(xx-yy).
HTML Version. 0508 BibRef

Teng, C.H.[Chin-Hung], Lai, S.H.[Shang-Hong], Chen, Y.S.[Yung-Sheng], Hsu, W.H.[Wen-Hsing],
An accurate and adaptive optical flow estimation algorithm,
ICIP04(III: 1839-1842).
WWW Version. 0505 BibRef

Adachi, E., Horiguchi, S.,
Multi-resolutional optical flow estimation with local optimization,
ICIP02(II: 257-260).
IEEE Abstract. IEEE Top Reference. 0210 BibRef

Wang, H.Y.[Hai-Yun], Ma, K.K.[Kai-Kuang],
Accurate optical flow estimation using adaptive scale-space and 3d structure tensor,
ICIP02(II: 301-304).
IEEE Abstract. IEEE Top Reference. 0210 BibRef

Pedersen, K.S.[K. Steenstrup], Nielsen, M.,
Computing optic flow by scale-space integration of normal flow,
ScaleSpace01(xx-yy). 0106 BibRef

Maas, R.[Robert], ter Haar Romeny, B.M.[Bart M.], Viergever, M.A.[Max A.],
A Multiscale Taylor Series Approaches to Optic Flow and Stereo: A Generalization of Optic Flow Under the Aperture,
ScaleSpace99(519-524). BibRef 9900

George, M., Tjahjadi, T.,
Multiresolution Optical Flow Estimation using Adaptive Shifting,
ICIP99(III:717-721).
IEEE Abstract. IEEE Top Reference. BibRef 9900

Mendelsohn, J.[Jeffrey], Simoncelli, E.[Eero], Bajcsy, R.[Ruzena],
Discrete-time rigidity-constrained optical flow,
CAIP97(255-262).
WWW Version. 9709
HTML Version. And full paper:
Postscript Version. Structure from optic flow. BibRef

Johannesson, M., and Gokstorp, M.,
Video-rate Pyramid Optical Flow Computations on the Linear SIMD Array IVP,
CAMP95(xx). Gokstorp, M., Danielsson, P.E., BibRef 9500
Velocity tuned generalized Sobel operators for multiresolution computation of optical flow,
ICIP94(II: 765-769).
WWW Version. 9411 BibRef

Colombo, C., del Bimbo, A., Santini, S.,
A Multilayer Massively Parallel Architecture for Optical Flow Computation,
ICPR92(IV:209-213).
WWW Version. BibRef 9200

Bernard, C.,
Discrete Wavelet Analysis: A New Framework for Fast Optic Flow Computation,
ECCV98(II: 354).
WWW Version. BibRef 9800

Ríos, H.[Homero],
Computing image flow using a coarse-to-fine strategy for spatiotemporal filters,
CAIP93(355-362).
WWW Version. 9309 BibRef

Kories, R., Rehfeld, N., Zimmermann, G.,
Towards Autonomous Convoy Driving: Recognizing the Starting Vehicle in Front,
ICPR88(I: 531-535).
WWW Version.
IEEE Top Reference. BibRef 8800

Kories, R., and Zimmermann, G.,
A Versatile Method for the Estimation of Displacement Vector Fields from Image Sequences,
Motion86(101-106). See also Investigation of Multigrid Algorithms for the Estimation of Optical Flow Fields in Image Sequences. BibRef 8600

Kories, R., Hecker, G., Zimmermann, G.,
On the Precision of a Feature Based Displacement Measurement,
ICPR86(1193-1196). BibRef 8600

Zimmermann, G., Kories, R.,
Image Sequence Processing as an Aid for Three-Dimensional Display,
ICPR86(821-824). BibRef 8600

Kories, R., Zimmermann, G.,
Motion Detection in Image Sequences: An Evaluation of Feature Detectors,
ICPR84(778-780). BibRef 8400
And:
A Class of Stable Feature Extractors for Time-Varying Imagery,
ICPR84(919). BibRef

Korn, A., Kories, R.,
Motion Analysis in Natural Scenes Picked up by a Moving Optical Sensor,
ICPR80(1251-1254). BibRef 8000

Kories, R.,
Determination of Displacement Vector Fields for General Camera Motions,
PRIP81(115-117). BibRef 8100

Bergeron, C., and Dubois, E.,
Parametric Block Estimation of Motion and Application to Temporal Interpolation of Video Sequences,
ICPR90(II: 140-146).
WWW Version. BibRef 9000

Glazer, F.,
Hierarchial Gradient-Based Motion Detection,
DARPA87(733-748). BibRef 8700
Earlier:
Computing Optic Flow,
IJCAI81(644-647). Gradient-based approaches only work with small motions, but is extended by using a hierarchical approach. This seems in keeping with the UMass approach. BibRef

Bandyopadhyay, A.,
A Multiple Channel Model for Perception of Optical Flow,
CVWS84(78-82). BibRef 8400

Burt, P.J., Yen, C., Xy, X.,
Local Correlation Measures for Motion Analysis: A Comparative Study,
PRIP82(269-274). BibRef 8200

Burt, P.J., Yen, C., Xy, X.,
Multi-Resolution Flow - Through Motion Analysis,
CVPR83(246-252). BibRef 8300

Chapter on Optical Flow Field Computations and Use continues in
Real-Time, Parallel Optic Flow Computation .