Computational Caustic Design for Surface Light Source

Fuente: arXiv
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Autori principali: Zhou, Sizhuo, Sun, Yuou, Deng, Bailin, Zhang, Juyong
Natura: Preprint
Pubblicazione: 2025
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author Zhou, Sizhuo
Sun, Yuou
Deng, Bailin
Zhang, Juyong
author_facet Zhou, Sizhuo
Sun, Yuou
Deng, Bailin
Zhang, Juyong
contents Designing freeform surfaces to control light based on real-world illumination patterns is challenging, as existing caustic lens designs often assume oversimplified point or parallel light sources. We propose representing surface light sources using an optimized set of point sources, whose parameters are fitted to the real light source's illumination using a novel differentiable rendering framework. Our physically-based rendering approach simulates light transmission using flux, without requiring prior knowledge of the light source's intensity distribution. To efficiently explore the light source parameter space during optimization, we apply a contraction mapping that converts the constrained problem into an unconstrained one. Using the optimized light source model, we then design the freeform lens shape considering flux consistency and normal integrability. Simulations and physical experiments show our method more accurately represents real surface light sources compared to point-source approximations, yielding caustic lenses that produce images closely matching the target light distributions.
format Preprint
id arxiv_https___arxiv_org_abs_2511_09361
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Computational Caustic Design for Surface Light Source
Zhou, Sizhuo
Sun, Yuou
Deng, Bailin
Zhang, Juyong
Graphics
Designing freeform surfaces to control light based on real-world illumination patterns is challenging, as existing caustic lens designs often assume oversimplified point or parallel light sources. We propose representing surface light sources using an optimized set of point sources, whose parameters are fitted to the real light source's illumination using a novel differentiable rendering framework. Our physically-based rendering approach simulates light transmission using flux, without requiring prior knowledge of the light source's intensity distribution. To efficiently explore the light source parameter space during optimization, we apply a contraction mapping that converts the constrained problem into an unconstrained one. Using the optimized light source model, we then design the freeform lens shape considering flux consistency and normal integrability. Simulations and physical experiments show our method more accurately represents real surface light sources compared to point-source approximations, yielding caustic lenses that produce images closely matching the target light distributions.
title Computational Caustic Design for Surface Light Source
topic Graphics
url https://arxiv.org/abs/2511.09361