几何连续性可视化评估及构造理论与方法

项目名称： 几何连续性可视化评估及构造理论与方法

项目编号： No.61272235

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 自动化技术、计算机技术

项目作者： 雍俊海

作者单位： 清华大学

项目金额： 80万元

中文摘要： 随着科技尤其是制造水平的不断提升，人们对产品设计复杂程度和质量等要求也日益提高。这些都对现有几何造型软件系统提出了新的挑战并提供了新的机遇。面向工业设计和制造领域对于三维模型表面几何连续性的需求，本项目首先将丰富三维模型表面几何连续性的评估理论与可视化方法，提高其评估理论的完备性，进一步完善其可视化手段；接着探讨在多张曲面之间精确的几何连续性难题，形成一系列理论上精确的曲面几何连续构造理论与方法，为n边洞填充提供新的理论依据和新的技术方案；在此基础上进一步发展带容差的几何连续性理论，研究满足给定容差的曲面连续性构造与调整方法，从而在一定程度上弥补传统数学和现代计算机科学之间的间隙，提高理论和方法的实用性。总之，本项目将从整体上提高曲面几何连续性的理论水平及应用价值，为飞机和汽车等工业设计领域提供一些直观的曲面几何连续性可视化评估手段以及高效的曲面几何连续性构造方法。

中文关键词： 几何连续性；多张曲面混合；误差控制；曲面质量评估；n边洞

英文摘要： With the growth of science and technology, especially those about manufacturing, the product design is required to be more complex and with higher quality. All these requirements are the new challenges as well as the new opportunities for the geometric modeling software systems. Based on the geometric continuity requirements for the surfaces of 3D objects in the industrial design and the manufacturing, this project will enrich the evaluation and visualization theories and methods for the geometric continuities of 3D objects, enlarge the coverage, and overcome some limitations. And then, the project will study the problems of the exact geometric continuities in multi-surface blending, and produce the corresponding theories and methods, including the new theory foundation and technical solution for filling n-sided holes. On the basis, the project will further develop the theories of the geometric continuities with error tolerance, and do some research on how to generate or modify the surfaces under geometric continuity constrains with error tolerance. Thus, this project will fill some gaps between the traditional mathematics and the modern computer science, and improve the utility on both theories and methods. As a conclusion, this project will bring the whole theories and its applications of the surface geometric

英文关键词： Geometric continuity；multi-surface blending；error control；surface quality evaluation；n-sided hole