Curves and Surfaces in Computer Aided Geometric Design

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Focusing on the mathematical representation of curves and surfaces, this comprehensive English version serves as a systematic guide to computer-aided geometric design, drawing from thirty years of research. Originating from lecture notes at the University of Utah and Kyushu Institute of Design, it is structured into eight chapters covering historical significance, basic mathematical theories, Lagrange interpolation, and detailed discussions on Coons surfaces and spline functions. It is a valuable resource for students, engineers, and researchers in the field.