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authors Rogers, D.F.
year 1990
title Mathematical elements for computer graphics
source McGraw Hill, USA
summary The second edition of this classic computer graphics book represents a major rewrite. The clear concise discussion, the detailed algorithms, worked examples and numerous illustrations make the book of special interest to students, programmers and computer graphics professionals. The numerous detailed worked examples make it especially suitable for self-study. The first edition of the book, published in 1976, was one of the earliest computer graphics books. That first edition is still a staple on the bookshelves of many of the pioneers in computer graphics. The book thoroughly covers two- and three-dimensional transformations including rotation, scaling, translation, reflection, rotation about arbitrary points and axes, reflection about arbitrary lines and through arbitrary planes and points at infinity. Plane and space curves including efficient methods for representing conic sections, cubic splines, parabolically blended, Bezier and rational and non-rational B-spline (NURBS) curves are discussed. The discussion of surfaces includes surfaces of revolution, sweep surfaces, ruled and developable surfaces, Coons surfaces, Bezier and rational and non-rational B-splines (NURBS) surfaces. As with all the topics in the book, the discussion of both rational and non-rational B-spline curves and surfaces is accompanied by numerous detailed worked examples. The appendices contain over 50 pseudocoded algorithms including over 25 algorithms for Bezier and B-spline curves and surfaces.
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