ML Anthology

A Theory of Phase-Sensitive Rotation Invariance with Spherical Harmonic and Moment-Based Representations

Ramakrishna Kakarala, Dansheng Mao
CVPR 2010 pp. 105-112
doi:10.1109/CVPR.2010.5540222 /cvpr/2010/kakarala2010cvpr-theory/

Abstract

This paper describes how phase-sensitive rotation invariants for three-dimensional data may be obtained. A "bispectrum" is formulated for rotations, and its properties are derived for spherical harmonic coefficients as well as for moments. The bispectral invariants offer improved discrimination over previously published magnitude-only invariants. They are able to distinguish rotations from reflections, as well as rotations of an entire shape from component-wise rotations of elements of the shape. As experiments show, they provide robust performance for both surface and voxel data.

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Cite

Text

Kakarala and Mao. "A Theory of Phase-Sensitive Rotation Invariance with Spherical Harmonic and Moment-Based Representations." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2010. doi:10.1109/CVPR.2010.5540222

Markdown

[Kakarala and Mao. "A Theory of Phase-Sensitive Rotation Invariance with Spherical Harmonic and Moment-Based Representations." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2010.](https://mlanthology.org/cvpr/2010/kakarala2010cvpr-theory/) doi:10.1109/CVPR.2010.5540222

BibTeX

@inproceedings{kakarala2010cvpr-theory,
  title     = {{A Theory of Phase-Sensitive Rotation Invariance with Spherical Harmonic and Moment-Based Representations}},
  author    = {Kakarala, Ramakrishna and Mao, Dansheng},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2010},
  pages     = {105-112},
  doi       = {10.1109/CVPR.2010.5540222},
  url       = {https://mlanthology.org/cvpr/2010/kakarala2010cvpr-theory/}
}