# A Note on Properties of Discrete Composition Operators

## TL;DR

This paper explores properties of discrete composition matrices, providing a characterization that aids in numerical computations related to shape correspondences in computer graphics.

## Contribution

It introduces a new characterization of discrete composition matrices, enhancing understanding and application in shape correspondence computations.

## Key findings

- Derived key properties of discrete composition matrices.
- Provided a novel characterization useful for shape correspondence algorithms.
- Facilitated improved numerical computation methods.

## Abstract

We derive properties and a characterization of discrete composition matrices which are useful in the field of numerical computation of shape correspondences.