论文标题

基于Vora-value的滤波器设计方法的数学推导方法:梯度和Hessian

Mathematical derivation for Vora-Value based filter design method: Gradient and Hessian

论文作者

Zhu, Yuteng, Finlayson, Graham D.

论文摘要

在本文中,我们介绍了基于Vora-value的色彩法滤波器优化的梯度和Hessian矩阵的详细数学推导。我们对分化目标函数所涉及的步骤进行全面概括,并在应用阳性正规剂时揭示正常的黑森矩阵。本文在比色过滤器设计理论中充当我们论文的补充材料。

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.

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