Deformable Smooth Surface and Volume Design

可变形光滑表面和体积设计

• 批准号: 9619542
• 负责人: Herbert Edelsbrunner
• 金额: $ 16万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-03-01 至 2000-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9619542&HistoricalAwards=false
• 关键词: Deformable; Smooth; Surface; Volume; Design

This project combines a novel approach to geometric modeling with modern software engineering techniques. It paints the picture of a geometric computing environment that unifies surface- and volume-based models to a compact internal representation of geometry. The Spartan internal structure covers a broad range of applications and needs through the multiple appearances paradigm, which includes shapes and skeleta, triangle and tetrahedron meshes, smooth surfaces, and multi-scale representations. The approach is backed by an extensive mathematical theory of shape and space. It provides local and global control and supports geometric deformations in unprecedented quality and generality. The complementary mathematical and algorithmic theories have recently matured to a point that warrants an intense effort in developing a software prototype of the envisioned system. The goal is to make the new technology available to a broad user-base of geometric modeling and design tools.

这个项目结合了一种新的方法来几何建模与现代软件工程技术。 它描绘了一个几何计算环境，统一的表面和体积为基础的模型，以一个紧凑的内部表示的几何图形。 Spartan内部结构通过多种外观范式涵盖了广泛的应用和需求，其中包括形状和三角形，三角形和四面体网格，光滑表面和多尺度表示。 这种方法得到了广泛的形状和空间数学理论的支持。 它提供了局部和全局控制，并支持几何变形前所未有的质量和通用性。 互补的数学和算法理论最近已经成熟到一个点，值得在开发一个软件原型的设想系统的紧张努力。 我们的目标是使新技术可用于几何建模和设计工具的广泛用户群。