Smoothed local generalized cones: An axial representation of 3D shapes

Y. Sato; J. Ohya; K. Ishii

doi:10.1109/CVPR.1992.223227

Smoothed local generalized cones: An axial representation of 3D shapes

Y. Sato, J. Ohya, K. Ishii

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Citations (Scopus)

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.

Original language	English
Title of host publication	Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Publisher	IEEE Computer Society
Pages	56-62
Number of pages	7
ISBN (Electronic)	0818628553
DOIs	https://doi.org/10.1109/CVPR.1992.223227
Publication status	Published - 1992 Jan 1
Externally published	Yes
Event	1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 1992 - Champaign, United States Duration: 1992 Jun 15 → 1992 Jun 18

Publication series

Name	Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Volume	1992-June
ISSN (Print)	1063-6919

Conference

Conference	1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 1992
Country/Territory	United States
City	Champaign
Period	92/6/15 → 92/6/18

ASJC Scopus subject areas

Software
Computer Vision and Pattern Recognition

Access to Document

10.1109/CVPR.1992.223227

Cite this

Sato, Y., Ohya, J., & Ishii, K. (1992). Smoothed local generalized cones: An axial representation of 3D shapes. In Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition (pp. 56-62). [223227] (Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition; Vol. 1992-June). IEEE Computer Society. https://doi.org/10.1109/CVPR.1992.223227

Smoothed local generalized cones : An axial representation of 3D shapes. / Sato, Y.; Ohya, J.; Ishii, K.

Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition. IEEE Computer Society, 1992. p. 56-62 223227 (Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition; Vol. 1992-June).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Sato, Y, Ohya, J & Ishii, K 1992, Smoothed local generalized cones: An axial representation of 3D shapes. in Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition., 223227, Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, vol. 1992-June, IEEE Computer Society, pp. 56-62, 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 1992, Champaign, United States, 92/6/15. https://doi.org/10.1109/CVPR.1992.223227

Sato Y, Ohya J, Ishii K. Smoothed local generalized cones: An axial representation of 3D shapes. In Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition. IEEE Computer Society. 1992. p. 56-62. 223227. (Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition). doi: 10.1109/CVPR.1992.223227

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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.",

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AB - 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.

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Smoothed local generalized cones: An axial representation of 3D shapes

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