Inner Products and Orthogonality in Colour Recording Filter Design

Vora, Poorvi

HP Development Company

关键词: noise;    sensitivity;    digital cameras;    scanners;    color;    colour;   

RP-ID  :  HPL-98-189

学科分类：计算机科学（综合）

美国|英语

来源: HP Labs

【 摘 要 】

We formalize ideas of orthogonality and inner products implicit in the development of a number of figures of merit (FOM, [1]) of colour recording filters. We show that, in negligible measurement noise, the data dependence of each FOM based on linear colour correction is equivalent to a choice of inner product (and hence of orthogonality). Further, we show that optimal sensors with respect to noise sensitivity are simply defined as orthogonal with respect to this inner product. We also develop the idea of a generalized Q-factor by generalizing the euclidean inner product to include all inner products. Simulations demonstrate the utility of our analytical results. 31 Pages