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The Skin-Restricted Reinhard Transform:Uniqueness under a Lightness-Preserving Constraint

arXiv · AI, language, vision and robotics · article · Sep 23, 2026 · UTC

Catalog skin recolouring has to change pigment and leave shading alone. The classical Reinhard map does not make that split: it rescales lightness by the ratio of standard deviations, and a flat reference swatch therefore flattens the limb. This paper formalises the correction used in our pipeline, the skin-restricted Reinhard transform. It is the diagonal affine map in CIE Lab that translates lightness, matches the chromatic mean, and clamps the chromatic gain to [0.72, 1.18], with moments taken on the central 84% of each channel. A diagonal affine map has six real parameters. The shading con

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First collected: 2026-09-24T08:22:30.429Z. This is not the publication date.