基于代数曲面的高精度物理建模与绘制

项目名称： 基于代数曲面的高精度物理建模与绘制

项目编号： No.61332015

项目类型： 重点项目

立项/批准年度： 2014

项目学科： 计算机科学学科

项目作者： 屠长河

作者单位： 山东大学

项目金额： 300万元

中文摘要： 高精度物理建模和成像计算技术是一直是计算机图形学、计算机动画、科学计算可视化、计算机辅助几何设计等领域的研究热点，近年来广泛应用在虚拟现实、数字影视游戏、数字医疗与康复、仿生工程以及三维打印等领域。本项目针对上述应用领域需求，开展以下几个方面的内容研究：1）基于中间复形曲面的复杂形状逼近理论和方法；2）基于代数曲面的高精度碰撞检测和距离计算；3）基于中间复形网格的变形计算方法；4）复杂拓扑物体受力分析、物体结构加固方法；5）复杂拓扑形状的高精度绘制算法。本项目旨在通过对上述内容的研究，为开发高度真实的三维虚拟手术模拟系统、人体器官或软组织的高精度三维打印以及仿生装置的加工制造系统提供理论和技术支持，以提升我国在上述领域的创新设计能力和国际竞争力。

中文关键词： 代数曲面;中轴;碰撞检测;物理建模;隐式曲面

英文摘要： High-precision physically modeling and rendering technologies are always focused by researchers from computer graphics, computer animation, scientific computing visualization, computer-aided geometric design etc. The technologies are widely used in virtual reality, digital video, and digital games, digital medical care and rehabilitation, bionics engineering and three-dimensional printing. Orienting the requirements of above application fields, we will do researches on the following aspects: 1) Medial complex based complicated shape approximating theory and approaches; 2) Algebraic surfaces based high-precision collision detection and distance computation; 3) Medial complex mesh based deformation control; 4) Stress structure analysis of objects with complex topology; objects structure reinforcement methods; 5) study of high photo-realisitic rendering techniques of complex topology surfaces. The project aims to get research achievements from above research topics to provide theoretical and technical support for the development of highly realistic 3D virtual surgery simulation system, human organs or soft tissue precision three-dimensional printing, and bionic device manufacturing system, in order to enhance the innovative design capabilities and international competitiveness of related industries of our country.

英文关键词： algebraic surfaces;medial axis;collision detection;physically modeling;implicit surface