Non-Linear Beam Model for Tracking Large Deformations

In this paper we investigate physics-based plane beam model, frequently used in mechanical and civil engineering, to track large non-linear deformations in images. Such models do not only contribute to robust and precise tracking, in the presence of clutter and partial occlusions, but also allow to compute the forces that produce observed deformations. We verify the correctness of the recovered forces by using them in a simulation and compare the results to the original image displacements. We apply this method to track deformations of the pole vault, the rat whiskers and the car antenna.

[1]  Vincent Lepetit,et al.  Monocular Model-Based 3D Tracking of Rigid Objects: A Survey , 2005, Found. Trends Comput. Graph. Vis..

[2]  Demetri Terzopoulos,et al.  Realistic modeling for facial animation , 1995, SIGGRAPH.

[3]  Dimitris N. Metaxas,et al.  Shape and Nonrigid Motion Estimation Through Physics-Based Synthesis , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Katsushi Ikeuchi,et al.  Deformable surfaces: a free-form shape representation , 1991, Optics & Photonics.

[5]  S. Timoshenko,et al.  Elements Of Strength Of Materials , 1935 .

[6]  Nicholas Ayache,et al.  Frequency-Based Nonrigid Motion Analysis: Application to Four Dimensional Medical Images , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  Irfan Essa,et al.  Physically-based Modeling for Graphics and Vision , 1992 .

[8]  Dmitry B. Goldgof,et al.  Fusion of physically-based registration and deformation modeling for nonrigid motion analysis , 2001, IEEE Trans. Image Process..

[9]  Dimitris N. Metaxas,et al.  Dynamic 3D models with local and global deformations: deformable superquadrics , 1990, [1990] Proceedings Third International Conference on Computer Vision.

[10]  Demetri Terzopoulos,et al.  Snakes: Active contour models , 2004, International Journal of Computer Vision.

[11]  Adrien Bartoli,et al.  Direct Estimation of Non-Rigid Registration , 2004, BMVC.

[12]  A. Pentland,et al.  Physically-based combinations of views: representing rigid and nonrigid motion , 1994, Proceedings of 1994 IEEE Workshop on Motion of Non-rigid and Articulated Objects.

[13]  Dimitris N. Metaxas,et al.  Constrained deformable superquadrics and nonrigid motion tracking , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[14]  Dimitris N. Metaxas.  Physics-Based Deformable Models: Applications to Computer Vision, Graphics, and Medical Imaging , 1996 .

[15]  Alex Pentland,et al.  Automatic extraction of deformable part models , 1990, International Journal of Computer Vision.

[16]  Demetri Terzopoulos,et al.  Deformable models in medical image analysis: a survey , 1996, Medical Image Anal..

[17]  Brian Mirtich,et al.  A Survey of Deformable Modeling in Computer Graphics , 1997 .

[18]  James F. O'Brien,et al.  Synthesizing Sounds from Physically Based Motion , 2001, SIGGRAPH Video Review on Animation Theater Program.

[19]  Laurent D. Cohen,et al.  Deformable models for 3-D medical images using finite elements and balloons , 1992, Proceedings 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.