Mathematical derivation for Vora-Value based filter design method: Gradient and Hessian
Optimization and Control
2020-10-06 v2 Computer Vision and Pattern Recognition
Abstract
In this paper, we present the detailed mathematical derivation of the gradient and Hessian matrix for the Vora-Value based colorimetric filter optimization. We make a full recapitulation of the steps involved in differentiating the objective function and reveal the positive-definite Hessian matrix when a positive regularizer is applied. This paper serves as a supplementary material for our paper in the colorimetric filter design theory.
Cite
@article{arxiv.2009.13696,
title = {Mathematical derivation for Vora-Value based filter design method: Gradient and Hessian},
author = {Yuteng Zhu and Graham D. Finlayson},
journal= {arXiv preprint arXiv:2009.13696},
year = {2020}
}
Comments
6 pages, correct typos and improve the mathematical proof