ML Anthology

Smoothed Local Generalized Cones: An Axial Representation of 3D Shapes

Yoshinobu Sato, Jun Ohya, Kenichiro Ishii
CVPR 1992 pp. 56-62
doi:10.1109/CVPR.1992.223227 /cvpr/1992/sato1992cvpr-smoothed/

Abstract

The recovery of viewpoint-independent descriptions of 3D shapes from two-and-one-half dimensional images. A novel 3D shape representation called the smoothed local generalized cones (SLGCs) is proposed. This representation is suitable for recovery of the axis, because the local constraint that characterizes a data set corresponding to the same axis point, namely, the local generalized cone (LGC), is explicitly defined. The extracted axis can be used as a basis for determining a natural parameterization of the object surface. Using this parameterization, the deformable surface fitting problem results in a linear least-squares problem, so stable volumetric recovery is possible. Recovery experiments involving real 3D range images are reported.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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Cite

Text

Sato et al. "Smoothed Local Generalized Cones: An Axial Representation of 3D Shapes." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992. doi:10.1109/CVPR.1992.223227

Markdown

[Sato et al. "Smoothed Local Generalized Cones: An Axial Representation of 3D Shapes." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992.](https://mlanthology.org/cvpr/1992/sato1992cvpr-smoothed/) doi:10.1109/CVPR.1992.223227

BibTeX

@inproceedings{sato1992cvpr-smoothed,
  title     = {{Smoothed Local Generalized Cones: An Axial Representation of 3D Shapes}},
  author    = {Sato, Yoshinobu and Ohya, Jun and Ishii, Kenichiro},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1992},
  pages     = {56-62},
  doi       = {10.1109/CVPR.1992.223227},
  url       = {https://mlanthology.org/cvpr/1992/sato1992cvpr-smoothed/}
}