Computational Geometry Curve And Surface Modeling

Author : Jean H. Gallier
Publisher : Morgan Kaufmann
Page : 512 pages
File Size : 54,6 Mb
Release : 2000
Category : Computers
ISBN : 1558605991

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Curves and Surfaces in Geometric Modeling by Jean H. Gallier Pdf

"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 : Buqing Su,Dingyuan Liu
Publisher : Unknown
Page : 295 pages
File Size : 45,8 Mb
Release : 1989-01-01
Category : Mathematics
ISBN : 0126756104

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Computational Geometry--curve and Surface Modeling by Buqing Su,Dingyuan Liu Pdf

Author : Su Bu-qing,Liu Ding-yuan
Publisher : Elsevier
Page : 306 pages
File Size : 49,5 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483272283

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Computational Geometry by Su Bu-qing,Liu Ding-yuan Pdf

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 : Max K. Agoston
Publisher : Springer Science & Business Media
Page : 908 pages
File Size : 45,6 Mb
Release : 2005-12-06
Category : Computers
ISBN : 9781846281082

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Computer Graphics and Geometric Modelling by Max K. Agoston Pdf

Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Implementation and Algorithms, covers the computer graphics part of the field of geometric modelling and includes all the standard computer graphics topics. The first part deals with basic concepts and algorithms and the main steps involved in displaying photorealistic images on a computer. The second part covers curves and surfaces and a number of more advanced geometric modelling topics including intersection algorithms, distance algorithms, polygonizing curves and surfaces, trimmed surfaces, implicit curves and surfaces, offset curves and surfaces, curvature, geodesics, blending etc. The third part touches on some aspects of computational geometry and a few special topics such as interval analysis and finite element methods. The volume includes two companion programs.

Author : S. Hahmann,G. Brunnett,Gerald Farin,R. Goldman
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 42,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783709105870

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Geometric Modelling by S. Hahmann,G. Brunnett,Gerald Farin,R. Goldman Pdf

In 19 articles presented by leading experts in the field of geometric modelling the state-of-the-art on representing, modeling, and analyzing curves, surfaces as well as other 3-dimensional geometry is given. The range of applications include CAD/CAM-systems, computer graphics, scientific visualization, virtual reality, simulation and medical imaging. The content of this book is based on selected lectures given at a workshop held at IBFI Schloss Dagstuhl, Germany. Topics treated are: – curve and surface modelling – non-manifold modelling in CAD – multiresolution analysis of complex geometric models – surface reconstruction – variational design – computational geometry of curves and surfaces – 3D meshing – geometric modelling for scientific visualization – geometric models for biomedical applications

Author : Michael E. Mortenson
Publisher : Unknown
Page : 788 pages
File Size : 52,9 Mb
Release : 1985
Category : Computers
ISBN : UOM:39015018238785

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Geometric Modeling by Michael E. Mortenson Pdf

The first comprehensive and complete coverage of geometric modeling. This text accurately treats the parametric geometry of curves, surfaces and solids, the construction of geometric models and the analytical techniques that can be used and applications. Extensive use is made of end-of-chapter problems.

Author : Muhammad Sarfraz
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 49,5 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9789401716895

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Geometric Modeling: Techniques, Applications, Systems and Tools by Muhammad Sarfraz Pdf

Computer Aided techniques, Applications, Systems and tools for Geometric Modeling are extremely useful in a number of academic and industrial settings. Specifically, Computer Aided Geometric Modeling (CAGM) plays a significant role in the construction of - signing and manufacturing of various objects. In addition to its cri- cal importance in the traditional fields of automobile and aircraft manufacturing, shipbuilding, and general product design, more - cently, the CAGM methods have also proven to be indispensable in a variety of modern industries, including computer vision, robotics, medical imaging, visualization, and even media. This book aims to provide a valuable source, which focuses on - terdisciplinary methods and affiliate research in the area. It aims to provide the user community with a variety of Geometric Modeling techniques, Applications, systems and tools necessary for various real life problems in the areas such as: Font Design Medical Visualization Scientific Data Visualization Archaeology Toon Rendering Virtual Reality Body Simulation It also aims to collect and disseminate information in various dis- plines including: Curve and Surface Fitting Geometric Algorithms Scientific Visualization Shape Abstraction and Modeling Intelligent CAD Systems Computational Geometry Solid Modeling v Shape Analysis and Description Industrial Applications The major goal of this book is to stimulate views and provide a source where researchers and practitioners can find the latest dev- opments in the field of Geometric Modeling.

Author : Alyn Rockwood,Peter Chambers
Publisher : Morgan Kaufmann
Page : 232 pages
File Size : 40,8 Mb
Release : 1996-08
Category : Computers
ISBN : 1558604057

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Interactive Curves and Surfaces by Alyn Rockwood,Peter Chambers Pdf

The growing importance of animation and 3D design has caused computer-aided geometric design (CAGD) to be of interest to a wide audience of programmers and designers. This interactive software/book tutorial teaches fundamental CAGD concepts and discusses the growing number of applications in such areas as geological modeling, molecular modeling, commercial advertising, and animation. Using interactive examples and animations to illustrate the mathematical concepts, this hands-on multimedia tutorial enables users without a substantial mathematical background to quickly gain intuition about CAGD. Interactive Curves and Surfaces guides you in Learning the uses of CAGD as it is applied in computer graphics and engineering. Creating curved lines and surfaces using Bezier curves, B-Splines, and parametric surface patches. Understanding the mathematical tools behind the generation of these objects, and the development of computer-based CAGD algorithms. Experimenting with powerful interactive test benches to explore the behavior and characteristics of the most popular CAGD curves. Application oriented readers will find this animated tutorial presentation more accessible than the standard formal texts on the subject.

Author : Vladimir Rovenski
Publisher : Springer Science & Business Media
Page : 463 pages
File Size : 53,8 Mb
Release : 2010-07-03
Category : Mathematics
ISBN : 9780387712789

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Modeling of Curves and Surfaces with MATLAB® by Vladimir Rovenski Pdf

This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.

Author : Hans Hagen
Publisher : SIAM
Page : 216 pages
File Size : 50,9 Mb
Release : 1992-01-01
Category : Mathematics
ISBN : 9780898712827

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Topics in Surface Modeling by Hans Hagen Pdf

Contains recent ideas and results in three areas of growing importance in curve and surface design: algebraic methods, variational surface design, and some special applications. Leading researchers from throughout the world have contributed their latest work and provided several promising solutions to open issues in surface modeling.

Author : Robert E. Barnhill
Publisher : SIAM
Page : 207 pages
File Size : 41,7 Mb
Release : 1992-01-01
Category : Mathematics
ISBN : 9780898712803

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Geometry Processing for Design and Manufacturing by Robert E. Barnhill Pdf

This text includes papers covering topics in geometry processing applications, such as surface-surface intersections and offset surfaces. Present methods fundamental to geometric modelling are highlighted.

Author : Jean-Daniel Boissonnat,Monique Teillaud
Publisher : Unknown
Page : 364 pages
File Size : 46,5 Mb
Release : 2007
Category : Curves
ISBN : UVA:X030114620

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Effective Computational Geometry for Curves and Surfaces by Jean-Daniel Boissonnat,Monique Teillaud Pdf

The intent of this book is to settle the foundations of non-linear computational geometry. It covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter provides a state of the art, as well as a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. References to open source software and discussion of potential applications of the presented techniques are also included. This book can serve as a textbook on non-linear computational geometry. It will also be useful to engineers and researchers working in computational geometry or other fields, like structural biology, 3-dimensional medical imaging, CAD/CAM, robotics, and graphics.

Author : Alan J. Davies,Philip Samuels
Publisher : Oxford University Press, USA
Page : 248 pages
File Size : 54,6 Mb
Release : 1996
Category : Mathematics
ISBN : UOM:39015037500231

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An Introduction to Computational Geometry for Curves and Surfaces by Alan J. Davies,Philip Samuels Pdf

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 : Nicholas M. Patrikalakis,Takashi Maekawa
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 46,6 Mb
Release : 2009-11-27
Category : Computers
ISBN : 9783642040740

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Shape Interrogation for Computer Aided Design and Manufacturing by Nicholas M. Patrikalakis,Takashi Maekawa Pdf

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. This book provides a bridge between the areas geometric modeling and solid modeling. Apart from the differential geometry topics covered, the entire book is based on the unifying concept of recasting all shape interrogation problems to the solution of a nonlinear system. It 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, and geodesics.

Author : Myung-Soo Kim
Publisher : Springer Science & Business Media
Page : 709 pages
File Size : 53,7 Mb
Release : 2006-07-11
Category : Computers
ISBN : 9783540367116

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Geometric Modeling and Processing - GMP 2006 by Myung-Soo Kim Pdf

This book constitutes the refereed proceedings of the 4th International Conference on Geometric Modeling and Processing, GMP 2006, held in Pittsburgh, PA, USA in July 2006. The 36 revised full papers and 21 revised short papers presented were carefully reviewed and selected from a total of 84 submissions. All current issues in the area of geometric modeling and processing are addressed and the impact in such areas as computer graphics, computer vision, machining, robotics, and scientific visualization is shown. The papers are organized in topical sections on shape reconstruction, curves and surfaces, geometric processing, shape deformation, shape description, shape recognition, geometric modeling, subdivision surfaces, and engineering applications.