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Procedural UV Derivatives Evaluation in SORT Renderer

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Jiayin Cao

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Procedural UV Derivatives Evaluation in SORT Renderer is a long-form post by Jiayin Cao on agraphicsguynotes.com about texture filtering in the SORT offline path tracer when texture coordinates come from a shading language rather than fixed vertex attributes.

Cao explains why correct mip selection and texture caching require accurate UV derivatives even when UVs are computed procedurally in SSL. The article contrasts hand-derived analytical derivatives with automatic differentiation approaches and documents SORT-specific pitfalls when chaining procedural UV math.

Renderer authors, shading-language designers, and advanced offline tracing engineers are the target audience. Readers should already understand mipmapping and derivative-based texture filtering in ray tracing.

The post is a free standalone article in Cao's technical blog series on SORT and rendering math. Cao's notes are cited among practitioners building research renderers and custom shading languages.