Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modeling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modeling: Implementation and Algorithms covers the computer graphics part of the field of geometric modeling and includes all the standard computer graphics topics. The first part deals with basic concepts and algorithms and the main steps involved in displaying photorealistic images on a computer. The second part covers curves and surfaces and a number of more advanced geometric modeling topics including intersection algorithms, distance algorithms, polygonizing curves and surfaces, trimmed surfaces, implicit curves and surfaces, offset curves and surfaces, curvature, geodesics, blending etc. The third part touches on some aspects of computational geometry and a few special topics such as interval analysis and finite element methods. The volume includes two companion programs.

这部两卷本的作品可能是在几何建模背景下对计算机图形的最全面概述，以彻底和系统的方式涵盖了实施和理论。计算机图形和几何建模。实现与算法》涵盖了几何建模领域的计算机图形部分，包括所有标准的计算机图形主题。第一部分涉及基本概念和算法以及在计算机上显示逼真图像的主要步骤。第二部分涉及曲线和曲面以及一些更高级的几何建模主题，包括相交算法、距离算法、曲线和曲面的多边形化、修剪的曲面、隐含的曲线和曲面、偏移的曲线和曲面、曲率、测地线、混合等等。第三部分涉及计算几何学的一些方面和一些特殊主题，如区间分析和有限元方法。本卷包括两个配套的程序。