Deformable Smooth Surface and Volume Design

该项目将一种新的几何建模方法与现代软件工程技术相结合。它描绘了几何计算环境的图景，该环境将基于表面和基于体积的模型统一到几何的紧凑内部表示。斯巴达内部结构通过多外观范例涵盖了广泛的应用和需求，其中包括形状和骨架、三角形和四面体网格、光滑表面和多尺度表示。这一方法得到了广泛的形状和空间数学理论的支持。它提供局部和全局控制，并以前所未有的质量和通用性支持几何变形。互补的数学和算法理论最近已经成熟到需要加紧努力开发设想中的系统的软件原型的地步。其目标是使几何建模和设计工具的广泛用户群可以使用这项新技术。

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.