Yamaguchi F. Curves and Surfaces in Computer Aided Geometric Design 1988

Textbook in PDF format

The material for the book started life as a set of notes for computer aided geometric design courses which I had at the graduate schools of both computer science, the university of Utah in U.S.A. and Kyushu Institute of Design in Japan. The book has been used extensively as a standard text book of curves and surfaces for students, practical engineers and researchers.
Mathematical description of shape information
Basic theory of curves and surfaces
Lagrange interpolation
Hermite interpolation
Spline interpolation
The Bernstein approximation
The B-spline approximation
The rational polynomial curves
Vector expression of single geometrical relations
Proofs of formulas relating to B-spline functions
Effects of multiple knots of B-spline functions