Mathematical Methods for CAD
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As computers become the mainstay of most engineering design practices, there has been a growing interest in the theory of computational geometry and computer aided design. This book sets out the fundamental elements of this theory in a mathematically rigorous manner. Splines and Bézier curves are first tackled, leading to Bézier surfaces, triangulation and box splines. The final chapter is devoted to algebraic geometry and provides a firm theoretical basis for anyone wishing to seriously develop and investigate CAD systems. Written with a strong mathematical flavour, the volume will appeal t...
As computers become the mainstay of most engineering design practices, there has been a growing interest in the theory of computational geometry and computer aided design. This book sets out the fundamental elements of this theory in a mathematically rigorous manner. Splines and Bézier curves are first tackled, leading to Bézier surfaces, triangulation and box splines. The final chapter is devoted to algebraic geometry and provides a firm theoretical basis for anyone wishing to seriously develop and investigate CAD systems. Written with a strong mathematical flavour, the volume will appeal to both engineers and mathematicians, as well as computer scientists.
Table of contents:
1. B-splines; 2. Spline curves and Bézier curves; 3. Interpolation and complements; 4. Spline surfaces; 5. Triangulations; 6. Notions of real algebraic geometry; Plates; Bibliography; Index.
As computers become the mainstay of most engineering design practices, there has been a growing interest in the theory of computational geometry and computer aided design.
As computers become the mainstay of most engineering design practices, there has been a growing interest in the theory of computational geometry and computer aided design.
Table of contents:
1. B-splines; 2. Spline curves and Bézier curves; 3. Interpolation and complements; 4. Spline surfaces; 5. Triangulations; 6. Notions of real algebraic geometry; Plates; Bibliography; Index.
As computers become the mainstay of most engineering design practices, there has been a growing interest in the theory of computational geometry and computer aided design.
As computers become the mainstay of most engineering design practices, there has been a growing interest in the theory of computational geometry and computer aided design.