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The NURBS book covers all aspects of non-uniform rational B-splines necessary to design geometry in a computer aided environment. Basic B-spline features, curve and surface algorithms, and state-of-the-art geometry tools are all discussed. Detailed code for design algorithms and computational tricks are covered too, in a lucid, easy-to-understand style, with a minimum of mathematics and using numerous worked examples. The book is a must for students, researchers, and implementors whose work involves the use of splines. "Some years ago a few researchers joked about NURBS, saying that the acronym really stands for Nobody Understands Rational B-Splines write the authors in their foreword; they formulate the aim of changing NURBS to EURBS, that is, Everybody ... . There is no doubt that they have achieved this goal. ... ... I highly recommend the book to anyone who is interested in a detailed description of NURBS. It is extremely helpful for students, teachers and designers of geometric modelling systems. ..." - H. Pottmann, Computer Aided Design, 1996.

Spline theory --- Computer aided design --- Data processing --- 514 --- Computer-aided design --- -519.6 --- 681.3*G12 --- 519.65 --- 681.3*I3 --- Spline functions --- Approximation theory --- Interpolation --- CAD (Computer-aided design) --- Computer-assisted design --- Computer-aided engineering --- Design --- Geometry --- Computational mathematics. Numerical analysis. Computer programming --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- Approximation. Interpolation --- Computer graphics (Computing methodologies) --- Meetkundig ontwerpen --- Splinefuncties --- Computer-aided design. --- Data processing. --- 681.3*I3 Computer graphics (Computing methodologies) --- 519.65 Approximation. Interpolation --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 514 Geometry --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Meetkundig ontwerpen. --- Splinefuncties. --- 519.6 --- Computer graphics. --- Spline theory. --- Infographie. --- Géométrie --- Splines, Théorie des. --- Informatique. --- Computer-aided engineering. --- Computer Graphics. --- Computer-Aided Engineering (CAD, CAE) and Design. --- CAE --- Engineering --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Digital techniques --- Spline theory - Data processing