Chebyshev Parameterization for Woven Fabric Modeling

IF 7.8 1区 计算机科学 Q1 COMPUTER SCIENCE, SOFTWARE ENGINEERING
Annika Öhri, Aviv Segall, Jing Ren, Olga Sorkine-Hornung
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引用次数: 0

Abstract

Distortion-minimizing surface parameterization is an essential step for computing 2D pieces necessary to fabricate a target 3D shape from flat material. Garment design and textile fabrication are a prominent application example. Common distortion measures quantify length, angle or area preservation in an isotropic manner, so that when applied to woven textile fabrication, they implicitly assume fabric behaves like paper, which is inextensible in all directions and does not permit shearing. However, woven fabric differs significantly from paper: it exhibits anisotropy along the yarn directions and allows for some degree of shearing. We propose a novel distortion energy based on Chebyshev nets that anisotropically penalizes shearing and stretching. Our energy formulation can be used as an optimization objective for surface parameterization and is simple to minimize via a local-global algorithm. We demonstrate its advantages in modeling nets or woven fabric behavior over the commonly used isotropic distortion energies.
用于织物建模的切比雪夫参数化
畸变最小化表面参数化是计算二维碎片的重要步骤,而计算二维碎片则是利用平面材料制造目标三维形状的必要条件。服装设计和纺织品制造就是一个突出的应用实例。常见的变形测量方法以各向同性的方式量化长度、角度或面积的保持,因此在应用于编织纺织品制造时,它们隐含地假定织物的行为与纸张类似,在所有方向上都无法拉伸,也不允许剪切。然而,机织物与纸张有很大不同:它沿纱线方向呈现各向异性,允许一定程度的剪切。我们提出了一种基于切比雪夫网的新型变形能量,它可以各向异性地惩罚剪切和拉伸。我们的能量公式可用作表面参数化的优化目标,并可通过局部-全局算法实现最小化。与常用的各向同性变形能量相比,我们证明了它在模拟网或编织物行为方面的优势。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
ACM Transactions on Graphics
ACM Transactions on Graphics 工程技术-计算机:软件工程
CiteScore
14.30
自引率
25.80%
发文量
193
审稿时长
12 months
期刊介绍: ACM Transactions on Graphics (TOG) is a peer-reviewed scientific journal that aims to disseminate the latest findings of note in the field of computer graphics. It has been published since 1982 by the Association for Computing Machinery. Starting in 2003, all papers accepted for presentation at the annual SIGGRAPH conference are printed in a special summer issue of the journal.
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