ML Anthology

Moment Invariants and Quantization Effects

Gouda I. Salama, A. Lynn Abbott
CVPR 1998 pp. 157-163
doi:10.1109/CVPR.1998.698603 /cvpr/1998/salama1998cvpr-moment/

Abstract

This paper considers the effect of spatial quantization on several moment invariants. Of particular interest are the affine moment invariants, which have emerged in recent years as a useful tool for image reconstruction, image registration, and recognition of deformed objects. Traditional analysis assumes moments and moment invariants for images that are defined in the continuous domain. In practice, however, the digitization process introduces errors that violate the invariance assumption. This paper presents an analysis of quantization-induced error on (two-dimensional) Hu moment invariants and affine moment invariants, and on invariants derived from (one-dimensional) contour moments. Error bounds are given in several cases.

CVPR Semantic Scholar

Cite

Text

Salama and Abbott. "Moment Invariants and Quantization Effects." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1998. doi:10.1109/CVPR.1998.698603

Markdown

[Salama and Abbott. "Moment Invariants and Quantization Effects." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1998.](https://mlanthology.org/cvpr/1998/salama1998cvpr-moment/) doi:10.1109/CVPR.1998.698603

BibTeX

@inproceedings{salama1998cvpr-moment,
  title     = {{Moment Invariants and Quantization Effects}},
  author    = {Salama, Gouda I. and Abbott, A. Lynn},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1998},
  pages     = {157-163},
  doi       = {10.1109/CVPR.1998.698603},
  url       = {https://mlanthology.org/cvpr/1998/salama1998cvpr-moment/}
}