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自由形态灯罩的计算设计

Computational Design of Free-Form Lampshades

Hiro Nakasuji, Soma Yokota, Yutaka Ohtake, Yuki Koyama

arXiv 2610.05770首次发表:更新:

发表机构

The University of Tokyo; University of Tsukuba(东京大学; 筑波大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

提出一种计算设计方法,通过两阶段优化内部空腔和灯位,实现自由形态3D打印灯罩的均匀照明,并经五个设计验证。

AI 中文摘要

传统灯罩由于在复杂形状上难以控制光学功能,其几何形状主要局限于简单形式。我们提出了一种计算设计方法,使得具有复杂自由形态的3D打印灯罩能够实现受控照明,例如均匀亮度。给定任意形状,我们的方法分两个阶段确定内部空腔几何形状以及灯的数量和位置:初始化阶段确定灯的数量并建立其初始位置和初始空腔几何形状,随后基于梯度的优化通过可微渲染在几何约束下联合优化空腔几何形状和灯的位置。我们在优化前校准半透明灯罩材料的材料参数,以提高模拟与制造结果之间的一致性。我们通过3D打印五个几何复杂度不同的灯罩设计来验证我们的方法,并证明制造的灯罩实现了相当均匀的亮度。

英文摘要

Conventional lampshades are predominantly restricted to simple geometries, owing to the difficulty of controlling optical functions across complex shapes. We present a computational design method that enables 3D-printable lampshades with complex free-form shapes to achieve controlled illumination, such as uniform luminance. Given an arbitrary shape, our method determines the internal cavity geometry and the number and placement of lights in two stages: an initialization stage fixes the number of lights and establishes their initial positions and the initial cavity geometry, after which gradient-based optimization jointly refines the cavity geometry and light positions via differentiable rendering subject to geometric constraints. We calibrate the material parameters of the translucent shade material prior to optimization to improve the agreement between simulation and the fabricated result. We validate our approach by 3D-printing five lampshade designs of varying geometric complexity and demonstrate that the fabricated lampshades achieve reasonably uniform luminance.

CommentsTo appear in Proceedings of ACM SCF 2026

论文原文

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