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Proceedings Paper
Volume: 38 | Article ID: AVM-112
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Mahalanobis Distance as a Robust Color (Signal) Separation Metric
  DOI :  10.2352/EI.2026.38.16.AVM-112  Published OnlineMarch 2026
Abstract
Abstract

Quantifying the ability of an imaging system to distinguish between colors or signals is fundamental to evaluating camera performance, particularly for applications such as autonomous driving and surveillance. Traditional metrics such as ΔE2000 and Δa∗b∗ provide perceptually motivated color differences but are not designed to account for sensor noise, nor are they invariant to the linear signal processing stages common in imaging pipelines. This paper proposes the use of the Mahalanobis distance as a robust, noise-referred metric for color and signal separation. We demonstrate that the Mahalanobis distance is invariant to affine transformations—including white balance, color correction matrices, and linear color-space conversions—and therefore provides a stable figure of merit regardless of where in the linear pipeline the measurement is taken. We further examine practical considerations including the effects of sensor saturation, nonlinear transformations such as gamma and CIELAB conversion, spatial gradients, region-of-interest size, and target quality. Experimental results are presented for multiple color filter array configurations across a range of illumination levels, demonstrating the utility of the metric for both full signal separation (Yuv) and chrominance-only color separation (uv). The work is conducted within the context of the IEEE P2020 automotive image quality standard.

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  Cite this article 

Robin B. Jenkin, "Mahalanobis Distance as a Robust Color (Signal) Separation Metricin Electronic Imaging,  2026,  pp 112-1 - 112-10,  https://doi.org/10.2352/EI.2026.38.16.AVM-112

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