这篇文档是对中国科学院大学计算机图形学课程的资源总结,主要包含两部分:1、课件中涉及到的重要论文以及相关的tutorial;2、同学们讲解的论文。
图形学基本知识的PPT已经发到群里了,这部分基础内容就不再列出了。
课件中涉及到的重要论文:
参数化曲线与曲面:
这部分主要介绍了可以参数化的曲线和曲面,包括Bezier曲线,Bezier曲面, B样条曲线, Wiki上有非常全面的介绍。
Conversion between triangular and rectangular Bezier patches, Shi-Min Hu, 2001.
其中Bezier曲线降阶也是一个研究热点:
M. A. Watkins and A. J. Worsey, Degree reduction of Bézier curves, Computer Aided Design, 20(7), 1988, 398-405
胡事民、孙家广、金通光等,Approximate degree reduction of Bézier curves, Tsinghua Science and Technology, No.2, 1998, 997-1000. (was reported in national CAGD conference, 1993), 46 citation
雍俊海、胡事民、孙家广等,Degree reduction of B- spline curves, Computer Aided Geometric Design, 2001, Vol. 13, NO. 2, 2001, 117-127. 38 citation
网格与网格细分:网格由面片和顶点组成,用于描述三维物体。将多边形分解为更加容易描述的三角形等的过程叫做网格化,用一些相对简单但是保持几何特征的网格来表达几何体的过程叫做简化。对一个给定的网格进行改进,使得更加平滑的过程叫做网格细分,主要包括Loop细分和根号3细分。
其中最重要的工作当属这两位:Hoppe、Garland
Hoppe H, DeRose T, Duchamp T, Mesh Optimization, Computer Graphics, 1993,27-4,19-26.
Hoppe H, Progressive Meshes, Computer Graphics, 1996, 30-4, 99-108.
Garland M., Heckbert P S., Surface simplification using quadric error matrix, Computer Graphics, 1997, 209-216.
光线跟踪:
Turner Whitted , An improved illumination model for shaded display, Communications of the ACM, v.23 n.6, p.343-349, June 1980.
网格变形:
On Linear Variational Surface Deformation Methods, Botsch & Sorkine, 08.
Tutorial: Interactive Shape Modeling and Deformation, Sorkine & Botsch, 09.
Image deformation using moving least squares, Schaefer, 06.
Mean Value Coordinates for Closed Triangular Meshes, Ju, 05.
Harmonic coordinates for character articulation, Joshi, 07.
Green Coordinates, Lipman, 08.
Complex Barycentric Coordinate with Applications to Planar Shape Deformation, Weber, 09.
同学们讲解的论文:
Zhang Yuan, Deng Guoyi
1. Active Exploration of Large 3D Model Repositories, Gao Lin.
2. Dynamic 2D/3D Registration for the Kinect, Sofien Bouaziz.
3. Modeling from Contour Drawings, Vladislav Kraevoy.