Generalized Image Matching: Statistical Learning of Physically-Based Deformations

Abstract

We describe a novel approach for image matching based on deformable intensity surfaces. In this approach, the intensity surface of the image is modeled as a deformable 3D mesh in the ( x, y,I(x, y) ) space. Each surface point has 3 degrees of freedom, thus capturing fine surface changes. A set of representative deformations within a class of objects (e.g. faces) are statistically learned through a Principal Components Analysis, thus providing a priori knowledge about object-specific deformations. We demonstrate the power of the approach by examples such as image matching and interpolation of missing data. Moreover this approach dramatically reduces the computational cost of solving the governing equation for the physically based system by approximately three orders of magnitude.

Cite

Text

Nastar et al. "Generalized Image Matching: Statistical Learning of Physically-Based Deformations." European Conference on Computer Vision, 1996. doi:10.1007/BFB0015569

Markdown

[Nastar et al. "Generalized Image Matching: Statistical Learning of Physically-Based Deformations." European Conference on Computer Vision, 1996.](https://mlanthology.org/eccv/1996/nastar1996eccv-generalized/) doi:10.1007/BFB0015569

BibTeX

@inproceedings{nastar1996eccv-generalized,
  title     = {{Generalized Image Matching: Statistical Learning of Physically-Based Deformations}},
  author    = {Nastar, Chahab and Moghaddam, Baback and Pentland, Alex},
  booktitle = {European Conference on Computer Vision},
  year      = {1996},
  pages     = {589-598},
  doi       = {10.1007/BFB0015569},
  url       = {https://mlanthology.org/eccv/1996/nastar1996eccv-generalized/}
}