Gerald Farin
Computer scientist and author specializing in computer-aided geometric design and computer graphics, known for textbooks on curves and surfaces and geometric modeling.
Books
This list of books are ONLY the books that have been ranked on the lists that are aggregated on this site. This is not a comprehensive list of all books by this author.
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1. Curves And Surfaces For Cagd, Fourth Edition
A Practical Guide
A comprehensive, graduate-level introduction to the theory and practical algorithms of curve and surface modeling used in computer-aided geometric design, covering polynomial and rational representations (Bezier, B-splines, NURBS), spline theory, tensor-product and triangular surface patches, subdivision and multiresolution techniques, and geometric continuity and approximation methods; the text emphasizes algorithmic procedures (evaluation, refinement, knot insertion, degree elevation, interpolation and least-squares approximation, and intersection) and applications to CAD/CAM and computer graphics, with worked examples and implementation notes to bridge theory and practice.
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2. Practical Linear Algebra
A Geometry Toolbox
This textbook presents linear algebra from a hands-on, geometric and computational perspective, developing core concepts such as vectors, matrices, linear systems, vector spaces, bases and linear transformations alongside determinants, eigenvalues and the singular value decomposition. Emphasis is placed on algorithms and numerical methods (for example Gaussian elimination, QR factorization and least-squares), with many illustrative examples, exercises and implementation-minded discussion. Applications to computer graphics and geometric modeling, including curves and surfaces, are used throughout to build geometric intuition and show how theory translates into practical computations.