High-quality Spline and Subdivision Surfaces

高质量的样条和细分曲面

• 批准号: 0430891
• 负责人: jorg peters
• 金额: $ 18万
• 依托单位: University of Florida
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-09-15 至 2007-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0430891&HistoricalAwards=false
• 关键词: quality; Spline; Subdivision; Surfaces

Superior shape and surface quality have a visible impact on new product design and industrial competitiveness. Decreasing the need for human, heuristic intervention when modeling surfaces is a precondition for accurate engineering simulation and high-quality geometry processing and it reduces effort, time, cost and variability. Characterizing and creating surfaces that withstand scrutiny in the detail is a fundamental unresolved challenge to applied differential geometry and geometric design.This research will characterize high-quality surfaces and develop tools for their creation. The effort centers on surfacing schemes that are computationally efficient, finite and affine invariant, and generate fair, curvature-continuous, parametric surfaces that are representable in a standard rational or polynomial form. The starting hypothesis is that a blend between multiple primary surfaces is good if it does not create curvature features that were not present in the defining data.The research will analyze why the existing techniques fail to generate satisfactory curvature distributions, develop a practical notion of surface quality, repair existing techniques or declare why they are fundamentally flawed and develop new approaches to be tested against a carefully chosen obstacle course of joins of multiple primary surfaces.

上级形状和表面质量对新产品设计和工业竞争力具有明显的影响。在曲面建模时减少对人工、启发式干预的需求是精确工程仿真和高质量几何处理的先决条件，它可以减少工作量、时间、成本和可变性。表征和创建表面，经得起审查的细节是一个基本的未解决的挑战，应用微分几何和几何设计。这项研究将表征高品质的表面和开发工具，他们的创造。努力集中在表面处理方案，计算效率高，有限和仿射不变，并产生公平，曲率连续，参数化的表面是在一个标准的合理或多项式形式表示。 首先假设多个主曲面之间的过渡是好的，如果它不产生定义数据中不存在的曲率特征，研究将分析为什么现有技术不能产生令人满意的曲率分布，发展一个实用的曲面质量概念，修复现有的技术或宣布为什么他们是根本性的缺陷，并开发新的方法进行测试，对一个精心选择的障碍课程的加入多个主要表面。