---
title: A novel set of rotationally and translationally invariant features for images based on the non-commutative bispectrum
url: https://www.emergentmind.com/papers/0701127
type: paper
arxiv_id: '0701127'
arxiv_url: https://arxiv.org/abs/0701127
published: '2007-01-20'
categories:
- cs.CV
- cs.AI
---

# A novel set of rotationally and translationally invariant features for images based on the non-commutative bispectrum

## Abstract

We propose a new set of rotationally and translationally invariant features for image or pattern recognition and classification. The new features are cubic polynomials in the pixel intensities and provide a richer representation of the original image than most existing systems of invariants. Our construction is based on the generalization of the concept of bispectrum to the three-dimensional rotation group SO(3), and a projection of the image onto the sphere.