Surface Matching: geodesic distance evolution PDEs on manifolds

E. Huot1, H. Yahia1, I. Herlin1 and I. Cohen2

1INRIA Air Project, BP 105, 78153 Le Chesnay Cedex, France

2Institute for Robotics and Intelligent Systems, University of Southern California, Los Angeles, California 90089-0273, USA

 

Bibliography (non-exhaustive)

 

The following link is an extensive bibliography in computer vision, and specially on matching problems (section 12):
[1] http://iris.usc.edu/Vision-Notes/bibliography/contents.html

[2]
Merickel, M., 3D Reconstruction: The Registration Problem, CVGIP(42), No. 2, May 1988, pp. 206-219.
[3]
Goshtasby, A., Stockman, G.C., and Page, C., A Region-Based Approach to Digital Image Registration with Subpixel Accuracy, GeoEl(24), No. 3, 1986, pp. 390-399.
[4]
Radack, G.M., and Badler, N.I., Local Matching of Surfaces Using a Boundary-Centered Radial Decomposition, CVGIP(45), No. 3, March 1989, pp. 380-396.

[5] Kim, W.Y., and Kak, A.C., 3-D Object Recognition Using Bipartite Matching Embedded in Discrete Relaxation, PAMI(13), No. 3, March 1991, pp. 224-251.
[6]
Chen, C.H., and Kak, A.C., A Robot Vision for Recovering 3-D Objects in Low-Order Polynomial Time, SMC(19), No. 6, November/December 1989, pp. 1535-1563.
[7]
Shvaytser, H., A Surface Matching Algorithm for Two Perspective Views, CVPR93(742-743).
[8]
Feldmar, J., Ayache, N., Betting, F., 3D-2D Projective Registration of Free-Form Curves and Surfaces, ICCV95(549-556). 3-D curves or surfaces.
[9]
Gourdon, A., Ayache, N., Registration of a Curve on a Surface Using Differential Properties, ECCV94(B:187-192).
[10] http://robotics.jpl.nasa.gov/people/johnson/thesis/thesis.html
[11]
S. M. Yamany and A. A. Farag, Free-Form Surface Registration using Surface Signatures, IEEE International Conference on Computer Vision (ICCV'99), Kerkyra, Greece, Sept 1999.
[12]
D. W. Eggert, A. W. Fitzgibbon and R. B. Fisher. Simultaneous registration of multiple range views for use in reverse engineering . In International Conference on Pattern Recognition, Vienna, Austria, August 1996
[13]
C. Schütz, T. Jost, H. Hügli, Multi-Featured Matching Algorithm for Free-Form 3D Surface Registration, in the proceedings of ICPR'98, Brisbane, 1998.
[14]
G. Barequet and M. Sharir, Partial surface and volume matching in three dimensions, IEEE Trans. on Pattern Analysis and Machine Intelligence (T-PAMI), vol. 19 (9), pp. 929-948, September 1997
[15]
U.R. Dhond and J.K. Aggarwal, Structure from stereo -a review, IEEE Trans. SMC, vol 19, 16, pp. 1489-1510, 1989
[16]
A.J. van Doorn and J.J. Koenderink, Spatiotemporal integration in the detection of coherent motion, Vision Research, vol 24, 1, pp 47-53, 1984
[17]
Xu, G. and Zhang, Z., Epipolar Geometry in Stereo, Motion, and Object Recognition: A Unified Approach, Kluwer, 1996
[18]
Z. Zhang and O.D. Faugeras, Estimation of displacements from two 3D frames obtained from stereo, PAMI, 1992, vol 14, 12, pp 1141-1156
[19]
I. Cohen and N. Ayache and P. Sulger, Tracking Points on Deformable Objects Using Curvature Information, ECCV92, pp. 458-466
[20]
B. Serra and M. Berthod, Optimal subpixel matching of contour chains and segments, ICCV95, pp. 402-407
[21]
T.Pajdla and L.Van Gool, Matching of 3D curves using semi differential invariants, ICCV95, pp. 390-395
[22]
J.P. Thirion, Extremal points: definition and application to 3D image registration, CVPR94, pp. 587-592
[24]
T.W. Sederberg and E. Greenwood, A physically based approach to 2D shape blending, Siggraph'92, pp. 25-34
[25] http://www.loni.ucla.edu/~thompson/detailed_warp3.html
[26]
M. Bakircioglu, S. Joshi, M. I. Miller, Landmark Matching on Brain Surfaces Via Large Deformation Diffeomorphisms on the Sphere, Proceedings of the SPIE Medical Imaging 1999, http://cis.jhu.edu/wu_publications/b/bakircioglum2.html
[27] Deformable shape models for anatomy, Doctoral dissertation in Electrical Engineering, Washington University, St. Louis, August 1994, http://cis.jhu.edu/wu_publications/c/christenseng7.html.
[28]
R. Deriche and S. Bouvin and O. Faugeras, A level-set approach for stereo, Fisrt Annual Symposium on Enabling Technologies for Law Enforcement and Security - SPIE Conference 2942: Investigative Image Processing
[29]
R. Kimmel and A. Amir and A.F. Bruckstein, Finding shortest paths on surfaces using levelset propagation, PAMI 1995, pp 635-640
[30]
S. Osher and J.A. Sethian, Fronts Propagating with Curvature Dependent Speed: Algorithms Basedon Hamilton-Jacobi Formulation, J. of Comput. Physics, vol 79 pp. 12-49, 1988
[31]
J. Gomes and O. Faugeras, Level Sets and Distance Functions, ECCV'2000, pp. 588-682
[32]
V. Caselles and R. Kimmel and G. Sapiro, Geodesic Avtive Contours, The International Journal of Computer Vision, 1997, vol 22, 1, pp. 61-79
[33]
E. Huot, H. Yahia, I. Cohen and I. Herlin, Matching Structures by Computing Minimal Paths on a Manifold, Journal of Visual Communication and Image Representation, Special Issue on Partial Differential Equations in Image Processing, Computer Vision, and Computer Graphics, 2000
[34]
I. Cohen and I. Herlin, Tracking Meteorological Structures through Curves Matching Using Geodesic Paths, ICCV'98, pp. 396-401
[35]
H. Yahia, E. Huot, I. Herlin and I. Cohen, Geodesic distance evolution of surfaces: a new method for matching surfaces, CVPR2000