Effective Computational Geometry For Curves And Surfaces
Download Effective Computational Geometry For Curves And Surfaces full books in PDF, epub, and Kindle. Read online free Effective Computational Geometry For Curves And Surfaces ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Jean-Daniel Boissonnat |
Publisher | : Springer Science & Business Media |
Total Pages | : 352 |
Release | : 2006-10-24 |
Genre | : Mathematics |
ISBN | : 3540332596 |
Download Effective Computational Geometry for Curves and Surfaces Book in PDF, Epub and Kindle
This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. Coverage includes references to open source software and discussion of potential applications of the presented techniques.
Author | : Jean-Daniel Boissonnat |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2010-10-28 |
Genre | : Mathematics |
ISBN | : 9783642069871 |
Download Effective Computational Geometry for Curves and Surfaces Book in PDF, Epub and Kindle
This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. Coverage includes references to open source software and discussion of potential applications of the presented techniques.
Author | : Alan J. Davies |
Publisher | : Oxford University Press, USA |
Total Pages | : 248 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : |
Download An Introduction to Computational Geometry for Curves and Surfaces Book in PDF, Epub and Kindle
This is an introductory textbook for undergraduates studying mathematics, engineering, or computer science, and explains how differential and computational geometry are used to explain the mathematics of curves and surfaces. It assumes only a basic knowledge of vector and matrix algebra, andis filled with numerous exercises, solutions, and worked examples. Ideal for those interested in computer graphics or computer-aided design, this book will be invaluable for those needing to understand the complex mathematics which lies behind these important areas of application.
Author | : Jean H. Gallier |
Publisher | : Morgan Kaufmann |
Total Pages | : 512 |
Release | : 2000 |
Genre | : Computers |
ISBN | : 9781558605992 |
Download Curves and Surfaces in Geometric Modeling Book in PDF, Epub and Kindle
"Curves and Surfaces in Geometric Modeling: Theory and Algorithms offers a theoretically unifying understanding of polynomial curves and surfaces as well as an effective approach to implementation that you can apply to your own work as a graduate student, scientist, or practitioner." "The focus here is on blossoming - the process of converting a polynomial to its polar form - as a natural, purely geometric explanation of the behavior of curves and surfaces. This insight is important for more than just its theoretical elegance - the author demonstrates the value of blossoming as a practical algorithmic tool for generating and manipulating curves and surfaces that meet many different criteria. You'll learn to use this and other related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more." "It will be an essential acquisition for readers in many different areas, including computer graphics and animation, robotics, virtual reality, geometric modeling and design, medical imaging, computer vision, and motion planning."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Author | : Su Bu-qing |
Publisher | : Elsevier |
Total Pages | : 306 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483272281 |
Download Computational Geometry Book in PDF, Epub and Kindle
Computational Geometry: Curve and Surface Modeling provides information pertinent to the fundamental aspects of computational geometry. This book discusses the geometric properties of parametric polynomial curves by using the theory of affine invariants for algebraic curves. Organized into eight chapters, this book begins with an overview of the objects studies in computational geometry, namely surfaces and curves. This text then explores the developments in the theory and application of spline functions, which began with cubic spline functions. Other chapters consider the mechanical background of the cubic spline functions, which is the wooden spline with small deflection. This book discusses as well that in mathematical lofting the information of a geometric shape is given by a set of data points, while in geometric design other ways of representations are available. The final chapter deals with the concepts in the theory of algebraic curves. This book is a valuable resource for mathematicians.
Author | : Franco P. Preparata |
Publisher | : Springer Science & Business Media |
Total Pages | : 413 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461210984 |
Download Computational Geometry Book in PDF, Epub and Kindle
From the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2
Author | : Ioannis Z. Emiris |
Publisher | : Springer Science & Business Media |
Total Pages | : 244 |
Release | : 2009-10-28 |
Genre | : Mathematics |
ISBN | : 1441909990 |
Download Nonlinear Computational Geometry Book in PDF, Epub and Kindle
An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design and molecular biology, together with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods from algebraic geometry with proven techniques from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized under the term nonlinear computational geometry. This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts in this emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometric modeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely theoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of the IMA workshop.
Author | : Buqing Su |
Publisher | : |
Total Pages | : 295 |
Release | : 1989-01-01 |
Genre | : Mathematics |
ISBN | : 9780126756104 |
Download Computational Geometry--curve and Surface Modeling Book in PDF, Epub and Kindle
Author | : Nicholas M. Patrikalakis |
Publisher | : Springer Science & Business Media |
Total Pages | : 428 |
Release | : 2002-02-14 |
Genre | : Computers |
ISBN | : 9783540424543 |
Download Shape Interrogation for Computer Aided Design and Manufacturing Book in PDF, Epub and Kindle
Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. This book will be of interest both to graduate students and professionals.
Author | : Alexander Pasko |
Publisher | : Springer Science & Business Media |
Total Pages | : 292 |
Release | : 2008-05-26 |
Genre | : Computers |
ISBN | : 3540684417 |
Download Heterogeneous Objects Modelling and Applications Book in PDF, Epub and Kindle
Heterogeneous object modeling is a new and quickly developing research area. This book systematically covers the most relevant themes and problems of this new and challenging subject area.