Motion analysis and epicardial deformation estimation from angiography data

A curvature-based approach to estimating nonrigid deformation of moving surfaces is described. Conformal motion can be characterized by stretching of the surface. At each point this stretching is equal in all directions, but is different for different points. This stretching function can be defined as an additional (with global translation and rotation) motion parameter. An algorithm for local stretching recovery from Gaussian curvature based on polynomial approximations of the stretching function is presented. These methods require point correspondences between time frames, but not the complete knowledge of nonrigid transformation.<<ETX>>

[1]  Dmitry B. Goldgof,et al.  Extracting motion parameters from the left ventricle angiography data , 1990, Other Conferences.

[2]  Thomas S. Huang,et al.  Modeling, analysis, and visualization of nonrigid object motion , 1990, [1990] Proceedings. 10th International Conference on Pattern Recognition.

[3]  Demetri Terzopoulos,et al.  Constraints on Deformable Models: Recovering 3D Shape and Nonrigid Motion , 1988, Artif. Intell..

[4]  Demetri Terzopoulos,et al.  Matching deformable models to images: Direct and iterative solutions , 1980 .

[5]  Jake K. Aggarwal,et al.  Structure from Motion of Rigid and Jointed Objects , 1981, Artif. Intell..

[6]  Alistair A. Young,et al.  Epicardial surface estimation from coronary angiograms , 1989, Comput. Vis. Graph. Image Process..

[7]  Su-Shing Chen,et al.  Shape and motion of nonrigid bodies , 1986, Comput. Vis. Graph. Image Process..

[8]  Stephen Wolfram,et al.  Mathematica: a system for doing mathematics by computer (2nd ed.) , 1991 .

[9]  Subhasis Chaudhuri,et al.  Estimation of motion parameters for a deformable object from range data , 1989, Proceedings CVPR '89: IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[10]  Dmitry B. Goldgof,et al.  Extracting local stretching from left ventricle angiography data , 1991, Electronic Imaging.

[11]  B. O'neill.  Elementary Differential Geometry , 1966 .

[12]  Dmitry B. Goldgof,et al.  Motion analysis of nonrigid surfaces , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.