Algorithms for Implicit Deformable Models
Abstract
This paper presents a framework for implicit deformable models and a pair of new algorithms for solving the nonlinear partial differential equations that result from this framework. Implicit models offer a useful alternative to parametric models, particularly when dealing with the deformation of higher-dimensional objects. The basic expressions for the evolution of implicit models are relatively straightforward; they follow as a direct consequence of the chain rule for differentiation. More challenging, however, is the development of algorithms that are stable and efficient. The first algorithm is a viscosity approximation which gives solutions over a dense set in the range, providing a means of calculating the solutions of embedded families of contours simultaneously. The second algorithm incorporates sparse solutions for a discrete set of contours. This sparse-field method requires a fraction of the computation compared to the first but offers solutions only for a finite number of contours. Results from 3d medical data as well as video images are shown.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
Cite
Text
Whitaker. "Algorithms for Implicit Deformable Models." IEEE/CVF International Conference on Computer Vision, 1995. doi:10.1109/ICCV.1995.466853Markdown
[Whitaker. "Algorithms for Implicit Deformable Models." IEEE/CVF International Conference on Computer Vision, 1995.](https://mlanthology.org/iccv/1995/whitaker1995iccv-algorithms/) doi:10.1109/ICCV.1995.466853BibTeX
@inproceedings{whitaker1995iccv-algorithms,
title = {{Algorithms for Implicit Deformable Models}},
author = {Whitaker, Ross T.},
booktitle = {IEEE/CVF International Conference on Computer Vision},
year = {1995},
pages = {822-827},
doi = {10.1109/ICCV.1995.466853},
url = {https://mlanthology.org/iccv/1995/whitaker1995iccv-algorithms/}
}