ML Anthology

Right Straight Homogeneous Generalized Cylinders with Symmetrical Cross-Sections: Recovery of Pose and Shape from Image Contours

Gang Xu, Hiromi T. Tanaka, Saburo Tsuji
CVPR 1992 pp. 692-694
doi:10.1109/CVPR.1992.223199 /cvpr/1992/xu1992cvpr-right/

Abstract

The straight homogeneous generalized cylinder (SHGC) comprises a class of objects for which recovery of pose and shape from image is generally an underconstrained problem. It is shown that for a major subclass of SHGCs, namely, the right straight homogeneous generalized cylinders, the 3-D pose (tilt and slant) and shape (cross section and scaling function) can be completely determined if the cross sections are symmetrical. From the mutual orthogonality of the cylinder axis, the symmetry axis and transverse axis of the cross section, their slants can be determined from their tilts, the 2-D orientations of their projections onto the image. The 2-D cylinder axis and skewed symmetry axis of the cross sections are extracted by using the property that tangents to the image curves at corresponding points meet on the axes. Once the pose is recovered, the cross section and scaling function of the object can also be determined from the cross section contour and extremal contours, respectively.< <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

Xu et al. "Right Straight Homogeneous Generalized Cylinders with Symmetrical Cross-Sections: Recovery of Pose and Shape from Image Contours." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992. doi:10.1109/CVPR.1992.223199

Markdown

[Xu et al. "Right Straight Homogeneous Generalized Cylinders with Symmetrical Cross-Sections: Recovery of Pose and Shape from Image Contours." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992.](https://mlanthology.org/cvpr/1992/xu1992cvpr-right/) doi:10.1109/CVPR.1992.223199

BibTeX

@inproceedings{xu1992cvpr-right,
  title     = {{Right Straight Homogeneous Generalized Cylinders with Symmetrical Cross-Sections: Recovery of Pose and Shape from Image Contours}},
  author    = {Xu, Gang and Tanaka, Hiromi T. and Tsuji, Saburo},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1992},
  pages     = {692-694},
  doi       = {10.1109/CVPR.1992.223199},
  url       = {https://mlanthology.org/cvpr/1992/xu1992cvpr-right/}
}