Mathematical Aspects Of Geometric Modeling

Download or read book Geometric Modeling written by Michael E. Mortenson and published by . This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely updated to include the most recent developments in the field, the third edition like the two previous editions, emphasizes clarity and thoroughness in the mathematical development of its subjects. It is written in a style that is free of jargon of special applications, while integrating the three important functions of geometric modeling: to represent elementary forms (curves, surfaces, and solids), to shape and assemble these into complex forms, and to determine geometric properties and relationships. With hundreds of illustrations, this unique book appeals to the readers visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. Upper-division and graduate students, teachers, and professionals studying, teaching or practicing geometric modeling, 3D modeling, computational geometry, computer graphics applications, animation, CAD/CAM, and related subjects will find this to be a very valuable reference. Introduction. Curves. Hermite Curves. Bezier Curvers. B-Spline Curves. Surfaces. Bicubic Hermite Surfaces. Bezier Surfaces. B-Spline Surfaces. Solids. Complex Model Construction. Geometric Properties. Answers to Selected Exercises. Index.