# Shape-Color Differential Moment Invariants under Affine Transformations

## TL;DR

This paper introduces a new method for constructing shape-color differential moment invariants that are invariant under affine transformations, improving image classification and retrieval performance.

## Contribution

It presents a general formula for shape-color primitives and constructs 50 shape-color differential moment invariants invariant to affine transforms.

## Key findings

- SCDMIs outperform traditional color descriptors in image classification.
- 50 instances of shape-color differential moment invariants are developed.
- Experimental results demonstrate improved retrieval accuracy.

## Abstract

We propose the general construction formula of shape-color primitives by using partial differentials of each color channel in this paper. By using all kinds of shape-color primitives, shape-color differential moment invariants can be constructed very easily, which are invariant to the shape affine and color affine transforms. 50 instances of SCDMIs are obtained finally. In experiments, several commonly used color descriptors and SCDMIs are used in image classification and retrieval of color images, respectively. By comparing the experimental results, we find that SCDMIs get better results.