Direct Computation of Qualitative 3D Shape and Motion Invariants

Abstract

The author shows that the sign of the normal curvature in a given direction at a given point in the image can be computed from a simple difference of slopes of line-segments in one image. Using this result, local surface patches can be classified as convex, concave, parabolic (cylindrical), hyperbolic (saddle point) or planar. At the same time the translational component of the optical flow is obtained, from which the focus of expansion can be computed. In addition, the axes of principal curvature and the axes of zero curvature are obtained.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Cite

Text

Weinshall. "Direct Computation of Qualitative 3D Shape and Motion Invariants." IEEE/CVF International Conference on Computer Vision, 1990. doi:10.1109/ICCV.1990.139524

Markdown

[Weinshall. "Direct Computation of Qualitative 3D Shape and Motion Invariants." IEEE/CVF International Conference on Computer Vision, 1990.](https://mlanthology.org/iccv/1990/weinshall1990iccv-direct/) doi:10.1109/ICCV.1990.139524

BibTeX

@inproceedings{weinshall1990iccv-direct,
  title     = {{Direct Computation of Qualitative 3D Shape and Motion Invariants}},
  author    = {Weinshall, Daphna},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  year      = {1990},
  pages     = {230-237},
  doi       = {10.1109/ICCV.1990.139524},
  url       = {https://mlanthology.org/iccv/1990/weinshall1990iccv-direct/}
}