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The Quadric Reference Surface: Applications in Registering Views of Complex 3D Objects

Amnon Shashua, Sebastian Tölg
ECCV 1994 pp. 407-416
doi:10.1007/BFB0028372 /eccv/1994/shashua1994eccv-quadric/

Abstract

The theoretical component of this work involves the following question: given any two views of some unknown textured opaque quadric surface in 3D, is there a finite number of corresponding points across the two views that uniquely determine all other correspondences coming from points on the quadric? A constructive answer to this question is then used to propose a transformation, we call a nominal quadratic transformation, that can be used in practice to facilitate the process of achieving full point-to-point correspondence between two grey-level images of the same (arbitrary) object.

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Text

Shashua and Tölg. "The Quadric Reference Surface: Applications in Registering Views of Complex 3D Objects." European Conference on Computer Vision, 1994. doi:10.1007/BFB0028372

Markdown

[Shashua and Tölg. "The Quadric Reference Surface: Applications in Registering Views of Complex 3D Objects." European Conference on Computer Vision, 1994.](https://mlanthology.org/eccv/1994/shashua1994eccv-quadric/) doi:10.1007/BFB0028372

BibTeX

@inproceedings{shashua1994eccv-quadric,
  title     = {{The Quadric Reference Surface: Applications in Registering Views of Complex 3D Objects}},
  author    = {Shashua, Amnon and Tölg, Sebastian},
  booktitle = {European Conference on Computer Vision},
  year      = {1994},
  pages     = {407-416},
  doi       = {10.1007/BFB0028372},
  url       = {https://mlanthology.org/eccv/1994/shashua1994eccv-quadric/}
}