This book contains tutorial surveys and original research contributions in geometric computing, modeling, and reasoning. Highlighting the role of algebraic computation, it covers: surface blending, implicitization, and parametrization; automated deduction with Clifford algebra and in real geometry; and exact geometric computation. Basic techniques, advanced methods, and new findings are presented coherently, with many examples and illustrations. Using this book the reader will easily cross the frontiers of symbolic computation, computer aided geometric design, and automated reasoning. The book is also a valuable reference for people working in other relevant areas, such as scientific computing, computer graphics, and artificial intelligence. Contents: Algebraic Methods in Computer Aided Geometric Design: Theoretical and Practical Applications (L Gonzilez-Vega et al.); Constructing Piecewise Algebraic Blending Surfaces (Y Feng et al.); Rational Curves and Surfaces: Algorithms and Some Applications (J R Sendra); Panorama of Methods for Exact Implicitization of Algebraic Curves and Surfaces (I S Kotsireas); Implicitization and Offsetting via Regular Systems (D Wang); Determining the Intersection Curve of Two 3D Implicit Surfaces by Using Differential Geometry and Algebraic Techniques (L Gonzilez-Vega et al.); Analytical Properties of Semi-Stationary Subdivision Schemes (H Zhang & G Wang); Meshless Method for Numerical Solution of PDE Using Hermitian Interpolation with Radial Basis (Z Wu & J Liu); Clifford Algebras in Geometric Computation (H Li); Automated Deduction in Real Geometry (L Yang & B Xia); Automated Derivation of Unknown Relations and Determination of Geometric Loci (Y Li); On Guaranteed Accuracy Computation (C K Yap); Dixon A-Resultant Quotients for 6-Point Isosceles Triangular Corner Cutting (M-C Foo & E-W Chionh); Face Recognition Using Hidden Markov Models and Artificial Neural Network Techniques (Z Ou & B Xue). Readership: Upper-level undergraduates, graduate students, researchers and engineers in geometric modeling.
GeometricModelingandProcessing(GMP)isabiennialinternationalconference on geometric modeling, simulation and computing, which provides researchers and practitioners with a forum for exchanging new ideas, discussing new app- cations, and presenting new solutions. Previous GMP conferences were held in Pittsburgh (2006), Beijing (2004), Tokyo (2002), and Hong Kong (2000). This, the 5th GMP conference, was held in Hangzhou, one of the most beautiful cities in China. GMP 2008 received 113 paper submissions, covering a wide spectrum of - ometric modeling and processing, such as curves and surfaces, digital geometry processing, geometric feature modeling and recognition, geometric constraint solving, geometric optimization, multiresolution modeling, and applications in computer vision, image processing, scienti?c visualization, robotics and reverse engineering. Each paper was reviewed by at least three members of the program committee andexternalreviewers.Basedonthe recommendations ofthe revi- ers, 34 regular papers were selected for oral presentation, and 17 short papers were selected for poster presentation. All selected papers are included in these proceedings. We thank all authors, external reviewers and program committee members for their great e?ort and contributions, which made this conference a success.
Owing to the advent of computers, experiments are becoming an increasingly important part of mathematics. This book provides guidance to students doing experiments in mathematics. The aim is to stimulate interest in mathematics through examples and experiments.Each experiment in the book starts with an interesting problem. The students are expected to work with these problems on computers, try to find the solutions themselves, and experience the scientific exploration in the process.The problems which the authors have chosen cover a wide spectrum in mathematics, ranging from calculus, number theory, coding and probability to geometry and chaos. They are introduced in a simple way and yet show great depth. The discussions are thorough but not lengthy.This book is useful not only to mathematics students, but also to students in all areas of sciences who are interested in learning some of the mathematical tools. It provides a hands-on approach to the most fundamental issues in mathematics — an approach which may help to revolutionize the teaching of mathematics.
This book constitutes the refereed proceedings of the 5th International Conference on Geometric Modeling and Processing, GMP 2008, held in Hangzhou, China, in April 2008. The 34 revised full papers and 17 revised short papers presented were carefully reviewed and selected from a total of 113 submissions. The papers cover a wide spectrum in the area of geometric modeling and processing and address topics such as curves and surfaces, digital geometry processing, geometric feature modeling and recognition, geometric constraint solving, geometric optimization, multiresolution modeling, and applications in computer vision, image processing, scientific visualization, robotics and reverse engineering.
This book contains tutorial surveys and original research contributions in geometric computing, modeling, and reasoning. Highlighting the role of algebraic computation, it covers: surface blending, implicitization, and parametrization; automated deduction with Clifford algebra and in real geometry; and exact geometric computation. Basic techniques, advanced methods, and new findings are presented coherently, with many examples and illustrations. Using this book the reader will easily cross the frontiers of symbolic computation, computer aided geometric design, and automated reasoning. The book is also a valuable reference for people working in other relevant areas, such as scientific computing, computer graphics, and artificial intelligence. Contents: Algebraic Methods in Computer Aided Geometric Design: Theoretical and Practical Applications (L Gonzilez-Vega et al.); Constructing Piecewise Algebraic Blending Surfaces (Y Feng et al.); Rational Curves and Surfaces: Algorithms and Some Applications (J R Sendra); Panorama of Methods for Exact Implicitization of Algebraic Curves and Surfaces (I S Kotsireas); Implicitization and Offsetting via Regular Systems (D Wang); Determining the Intersection Curve of Two 3D Implicit Surfaces by Using Differential Geometry and Algebraic Techniques (L Gonzilez-Vega et al.); Analytical Properties of Semi-Stationary Subdivision Schemes (H Zhang & G Wang); Meshless Method for Numerical Solution of PDE Using Hermitian Interpolation with Radial Basis (Z Wu & J Liu); Clifford Algebras in Geometric Computation (H Li); Automated Deduction in Real Geometry (L Yang & B Xia); Automated Derivation of Unknown Relations and Determination of Geometric Loci (Y Li); On Guaranteed Accuracy Computation (C K Yap); Dixon A-Resultant Quotients for 6-Point Isosceles Triangular Corner Cutting (M-C Foo & E-W Chionh); Face Recognition Using Hidden Markov Models and Artificial Neural Network Techniques (Z Ou & B Xue). Readership: Upper-level undergraduates, graduate students, researchers and engineers in geometric modeling.
Owing to the advent of computers, experiments are becoming an increasingly important part of mathematics. This book provides guidance to students doing experiments in mathematics. The aim is to stimulate interest in mathematics through examples and experiments.Each experiment in the book starts with an interesting problem. The students are expected to work with these problems on computers, try to find the solutions themselves, and experience the scientific exploration in the process.The problems which the authors have chosen cover a wide spectrum in mathematics, ranging from calculus, number theory, coding and probability to geometry and chaos. They are introduced in a simple way and yet show great depth. The discussions are thorough but not lengthy.This book is useful not only to mathematics students, but also to students in all areas of sciences who are interested in learning some of the mathematical tools. It provides a hands-on approach to the most fundamental issues in mathematics — an approach which may help to revolutionize the teaching of mathematics.
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.