Ron Goldman is a researcher at Sun Microsystems Laboratories in California working on alternative software development methodologies and new software architectures inspired by biology. He has been working with open source since hacking on GDB at Lucid, Inc. back in 1992. Since 1998 he has been helping groups at Sun Microsystems understand open source and advising them on how to build successful communities around their open source projects. Prior to Sun he developed a program to generate and manipulate visual representations of complex data for use by social scientists as part of a collaboration between NYNEX Science & Technology and the Institute for Research on Learning. He has worked on programming language design, programming environments, user interface design, and data visualization. He has a PhD in computer science from Stanford University where he was a member of the robotics group.

"Ron Goldman is a leading expert who knows the fundamental concepts and their interconnectedness, as well as the small details. The elegance of the writing and of the methods used to present the material allows us to get a deep understanding of the central concepts of CAGD. In its simplicity and pure beauty, the theory indeed resembles the pyramids." --Helmut Pottman, Vienna University of Technology"A textbook approach to understanding, analyzing and computing common polynomial and spline curves, and surfaces schemes in computer-aided geometric modeling and design. Goldman employs a dynamic programming method based on recursive pyramids for revealing the structure and relationship of algorithms." --Design Issues

• Chapter 1. FoundationsChapter 2. Lagrange Interpolation and Neville's AlgorithmChapter 3. Hermite Interpolation and the Extended Neville AlgorithmChapter 4. Newton Interpolation and Difference TrianglesChapter 5. Bezier Approximation and Pascal's TriangleChapter 6. BlossomingChapter 7. B-Spline Approximation and the de Boor AlgorithmChapter 8. Pyramid Algorithms for Multi-Sided Bezier Patches

Ron Goldman is a researcher at Sun Microsystems Laboratories in California working on alternative software development methodologies and new software architectures inspired by biology. He has been working with open source since hacking on GDB at Lucid, Inc. back in 1992. Since 1998 he has been helping groups at Sun Microsystems understand open source and advising them on how to build successful communities around their open source projects. Prior to Sun he developed a program to generate and manipulate visual representations of complex data for use by social scientists as part of a collaboration between NYNEX Science & Technology and the Institute for Research on Learning. He has worked on programming language design, programming environments, user interface design, and data visualization. He has a PhD in computer science from Stanford University where he was a member of the robotics group.

"Ron Goldman is a leading expert who knows the fundamental concepts and their interconnectedness, as well as the small details. The elegance of the writing and of the methods used to present the material allows us to get a deep understanding of the central concepts of CAGD. In its simplicity and pure beauty, the theory indeed resembles the pyramids." --Helmut Pottman, Vienna University of Technology"A textbook approach to understanding, analyzing and computing common polynomial and spline curves, and surfaces schemes in computer-aided geometric modeling and design. Goldman employs a dynamic programming method based on recursive pyramids for revealing the structure and relationship of algorithms." --Design Issues

• Chapter 1. FoundationsChapter 2. Lagrange Interpolation and Neville's AlgorithmChapter 3. Hermite Interpolation and the Extended Neville AlgorithmChapter 4. Newton Interpolation and Difference TrianglesChapter 5. Bezier Approximation and Pascal's TriangleChapter 6. BlossomingChapter 7. B-Spline Approximation and the de Boor AlgorithmChapter 8. Pyramid Algorithms for Multi-Sided Bezier Patches