Geometry Processing for Design and Manufacturing

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Topics in geometry processing have many important applications, such as surface-surface intersections and offset surfaces, which are useful for manufacturing (automotive, aeronautical, etc.). Leading experts have written papers included in this book that highlight the most recent methods fundamental for geometric modeling. A background in advanced calculus and some knowledge of applications is suggested.

About the Editor

Dr. Barnhill is chairman and professor of computer science at Arizona State University. He is one of the founders of the discipline, computer aided geometric design, and co-editor-in-chief of the journal Computer Aided Geometric Design.

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Editorial Reviews

Nine papers from a geometric design conference in Tempe, Arizona, November 1989, discuss how a unified and elegant theory might be developed that would allow industrial mathematicians and engineers to calculate the geometric properties of already constructed curves, surfaces, and solids. Includes an overall bibliography. Acidic paper. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9780898712803
  • Publisher: SIAM
  • Publication date: 1/1/1992
  • Series: Miscellaneous Bks.
  • Pages: 211

Table of Contents

Part 1: Offset Curves and Surfaces. Pythagorean-Hodograph Curves in Practical Use, Rida T. Farouki; Self-intersections and Offset Surfaces, Robrert E. Barnhill, Todd M. Frost, and Scott N. Kersey; Approximate Spline Conversion for Integral and Rational Bezier and B-Spline Surfaces, Josef Hoschek and Franz-Josef Schneider; Degree Reduction Fairing of Cubic B-Spline Curves, Gerald Farin; General Offset Curves and Surfaces, Eric L. Brechner;

Part 2: Surface-Surface Intersection. Adaptive Contouring for Triangular Bezier Patches, Robert E. Barnhill, Brett K. Bloomquist, and Andrew J. Worsey; Constructive Geometric Approach to Surface-Surface Intersection, Les A. Piegl; Interrogation of Surface Intersections, Nicholas M. Patrikalakis; Parametric Surface Intersections, K.Y. Wang; An SSI Bibliography, Gerald Farin; Index.

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