Title: Geometric modeling /
Authors: Mortenson, Michael E., 1939-
Publisher: Wiley,
Year: 1997
Subjects: Geometry Data processing; Mathematical models.; CAD/CAM systems; Computer graphics
Abstract: Now completely updated to include the most recent developments in the field, Geometric Modeling, Second Edition presents a comprehensive discussion of the core concepts of this subject. It describes and compares all the important mathematical methods for modeling curves, surfaces, and solids, and shows how to transform and assemble these elements into complex models. Written in a style free of the jargon of special applications, this unique book focuses on the essence of geometric modeling and treats it as a discipline in its own right. It integrates the three important functions of geometric modeling: to represent elementary forms (i.e., curves, surfaces, and solids), to shape and assemble these into more complex forms, and to determine concomitant derivative geometric elements (i.e., intersections, offsets, and fillets). Geometric Modeling, Second Edition serves as an invaluable guide to computer graphics and CAD/CAM specialists, applications designers, scientific programmers, teachers, and students.
Contents: 1. Introduction -- 2. Curves -- 3. Hermite Curves -- 4. Bezier Curves -- 5. B-Spline Curves -- 6. Surfaces -- 7. The Bicubic Hermite Surface -- 8. Bezier Surfaces -- 9. B-Spline Surfaces -- 10. Solids -- 11. Complex Model Construction -- 12. Relational Geometric Synthesis -- Appendix A. Vectors -- Appendix B. Matrices -- Appendix C. Transformations.