From Geometric Modeling To Shape Modeling

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Geometric Modeling: Techniques, Applications, Systems and Tools

Muhammad Sarfraz
Geometric Modeling Techniques Applications Systems and Tools Book PDF

Author : Muhammad Sarfraz
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 54,7 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.

Geometric Modeling

Nikolay Golovanov
Geometric Modeling Book PDF

Author : Nikolay Golovanov
Publisher : Createspace Independent Publishing Platform
Page : 0 pages
File Size : 52,9 Mb
Release : 2014-12-24
Category : Computer-aided design
ISBN : 1497473195

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Geometric Modeling by Nikolay Golovanov Pdf

"The book outlines methods used to construct curves, surfaces, and solids. It describes composition, principles of manipulation, and applications of geometric models. It has been written for university students and specialists in computer-aided design."--Abstract, p. 3.

From Geometric Modeling to Shape Modeling

Umberto Cugini,Michael Wozny
From Geometric Modeling to Shape Modeling Book PDF

Author : Umberto Cugini,Michael Wozny
Publisher : Springer
Page : 244 pages
File Size : 40,8 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9780387354958

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From Geometric Modeling to Shape Modeling by Umberto Cugini,Michael Wozny Pdf

IFIP Working Group 5.2 has organized a series of workshops aimed at presenting and discussing current issues and future perspectives of Geometric Modeling in the CAD environment. From Geometric Modeling to Shape Modeling comprises the proceedings of the seventh GEO workshop, which was sponsored by the International Federation for Information Processing (IFIP) and held in Parma, Italy in October 2000. The workshop looked at new paradigms for CAD including the evolution of geometric-centric CAD systems, modeling of non-rigid materials, shape modeling, geometric modeling and virtual prototyping, and new methods of interaction with geometric models. The seventeen included papers provide an interesting overview of the evolution of geometric centric modeling into shape modeling. Also included is an invited speaker paper, which discusses the foundation of the next generation of CAD systems, where shape and function enhance geometric descriptions. The main topics discussed in the book are: Theoretical foundation for solids and surfaces; Computational basis for geometric modeling; Methods of interaction with geometric models; Industrial and other applications of geometric modeling; New paradigms of geometric modeling for CAD; Shape modeling. From Geometric Modeling to Shape Modeling is essential reading for researchers, graduate and postgraduate students, systems developers of advanced computer-aided design and manufacturing systems, and engineers involved in industrial applications.

Algebraic Geometry and Geometric Modeling

Mohamed Elkadi,Bernard Mourrain,Ragni Piene
Algebraic Geometry and Geometric Modeling Book PDF

Author : Mohamed Elkadi,Bernard Mourrain,Ragni Piene
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 52,7 Mb
Release : 2006-11-02
Category : Mathematics
ISBN : 9783540332756

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Algebraic Geometry and Geometric Modeling by Mohamed Elkadi,Bernard Mourrain,Ragni Piene Pdf

This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.

Geometric Modeling with Splines

Elaine Cohen,Richard F. Riesenfeld,Gershon Elber
Geometric Modeling with Splines Book PDF

Author : Elaine Cohen,Richard F. Riesenfeld,Gershon Elber
Publisher : CRC Press
Page : 638 pages
File Size : 43,8 Mb
Release : 2001-07-18
Category : Computers
ISBN : 9781439864203

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Geometric Modeling with Splines by Elaine Cohen,Richard F. Riesenfeld,Gershon Elber Pdf

Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the necessary techniques for curve and surface representations in computer-aided modeling with a focus on how the techniques are used in design. They achieve a balance between mathematical rigor

Curves and Surfaces in Geometric Modeling

Jean H. Gallier
Curves and Surfaces in Geometric Modeling Book PDF

Author : Jean H. Gallier
Publisher : Morgan Kaufmann
Page : 512 pages
File Size : 48,5 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

Theory and Practice of Geometric Modeling

Wolfgang Straßer,Hans-Peter Seidel
Theory and Practice of Geometric Modeling Book PDF

Author : Wolfgang Straßer,Hans-Peter Seidel
Publisher : Springer Science & Business Media
Page : 534 pages
File Size : 49,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642615429

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Theory and Practice of Geometric Modeling by Wolfgang Straßer,Hans-Peter Seidel Pdf

This book is a result of the lectures and discussions during the conference "Theory and Practice of Geometric Modeling". The event has been organized by the Wilhelm-Schickard-Institut fiir Informatik, Universitat Tiibingen and took place at the Heinrich-Fabri-Institut in Blaubeuren from October 3 to 7, 1988. The conference brought together leading experts from academic and industrial research institutions, CAD system developers and experien ced users to exchange their ideas and to discuss new concepts and future directions in geometric modeling. The main intention has been to bridge the gap between theoretical results, performance of existing CAD systems and the real problems of users. The contents is structured in five parts: A Algorithmic Aspects B Surface Intersection, Blending, Ray Tracing C Geometric Tools D Different Representation Schemes in Solid Modeling E Product Modeling in High Level Specifications The material presented in this book reflects the current state of the art in geometric modeling and should therefore be of interest not only to university and industry researchers, but also to system developers and practitioners who wish to keep up to date on recent advances and new concepts in this rapidly expanding field. The editors express their sincere appreciation to the contributing authors, and to the members of the program committee, W. Boehm, J. Hoschek, A. Massabo, H. Nowacki, M. Pratt, J. Rossignac, T. Sederberg and W. Tiller, for their close cooperation and their time and effort that made the conference and this book a success.

Geometric Modeling

Michael E. Mortenson
Geometric Modeling Book PDF

Author : Michael E. Mortenson
Publisher : Unknown
Page : 552 pages
File Size : 47,9 Mb
Release : 1997
Category : Computers
ISBN : UOM:39015039044030

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Geometric Modeling by Michael E. Mortenson Pdf

A comprehensive, up-to-date presentation of the indispensable core concepts of geometric modeling Now completely updated to include the most recent developments in the field, Geometric Modeling, Second Edition presents a comprehensive discussion of the core concepts of this subject. It describes and compares all the important mathematical methods for modeling curves, surfaces, and solids, and shows how to transform and assemble these elements into complex models. Written in a style free of the jargon of special applications, this unique book focuses on the essence of geometric modeling and treats it as a discipline in its own right. It integrates the three important functions of geometric modeling: to represent elementary forms (i.e., curves, surfaces, and solids), to shape and assemble these into more complex forms, and to determine concomitant derivative geometric elements (i.e., intersections, offsets, and fillets). With more than 300 illustrations, Geometric Modeling, Second Edition appeals to the reader's visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. An extensive bibliography lists many supporting works, directing the reader to more specialized treatments of this subject. Geometric Modeling, Second Edition serves as an invaluable guide to computer graphics and CAD/CAM specialists, applications designers, scientific programmers, teachers, and students.

Computer Graphics and Geometric Modelling

Max K. Agoston
Computer Graphics and Geometric Modelling Book PDF

Author : Max K. Agoston
Publisher : Springer Science & Business Media
Page : 908 pages
File Size : 40,6 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.

Designing Fair Curves and Surfaces

Nickolas S. Sapidis
Designing Fair Curves and Surfaces Book PDF

Author : Nickolas S. Sapidis
Publisher : SIAM
Page : 330 pages
File Size : 48,5 Mb
Release : 1994-01-01
Category : Computers
ISBN : 1611971527

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Designing Fair Curves and Surfaces by Nickolas S. Sapidis Pdf

This state-of-the-art study of the techniques used for designing curves and surfaces for computer-aided design applications focuses on the principle that fair shapes are always free of unessential features and are simple in design. The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. Aesthetic aspects of geometric modeling are of vital importance in industrial design and modeling, particularly in the automobile and aerospace industries. Any engineer working in computer-aided design, computer-aided manufacturing, or computer-aided engineering will want to add this volume to his or her library. Researchers who have a familiarity with basic techniques in computer-aided graphic design and some knowledge of differential geometry will find this book a helpful reference. It is essential reading for statisticians working on approximation or smoothing of data with mathematical curves or surfaces.

Geometric Modelling

Fumihiko Kimura
Geometric Modelling Book PDF

Author : Fumihiko Kimura
Publisher : Springer
Page : 374 pages
File Size : 51,7 Mb
Release : 2013-06-29
Category : Computers
ISBN : 9780387354903

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Geometric Modelling by Fumihiko Kimura Pdf

Geometric modelling has been an important and interesting subject for many years from the purely mathematical and computer science viewpoint, and also from the standpoint of engineering and various other applications, such as CAD/CAM, entertainment, animation, and multimedia. This book focuses on the interaction between the theoretical foundation of geometric modelling and practical applications in CAD and related areas. Geometric Modelling: Theoretical and Computational Basis towards Advanced CAD Applications starts with two position papers, discussing basic computational theory and practical system solutions. The well-organized seven review papers give a systematic overview of the current situation and deep insight for future research and development directions towards the reality of shape representation and processing. They discuss various aspects of important issues, such as geometric computation for space search and shape generation, parametric modelling, feature modelling, user interface for geometric modelling, geometric modelling for the Next Generation CAD, and geometric/shape standard. Other papers discuss features and new research directions in geometric modelling, solid modeling, free-form surface modeling, intersection calculation, mesh modeling and reverse engineering. They cover a wide range of geometric modelling issues to show the problem scope and the technological importance. Researchers interested in the current status of geometric modelling research and developments will find this volume to be an essential reference.

Geometric Modeling and Mesh Generation from Scanned Images

Yongjie Jessica Zhang
Geometric Modeling and Mesh Generation from Scanned Images Book PDF

Author : Yongjie Jessica Zhang
Publisher : CRC Press
Page : 197 pages
File Size : 43,6 Mb
Release : 2018-09-03
Category : Computers
ISBN : 9781315360225

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Geometric Modeling and Mesh Generation from Scanned Images by Yongjie Jessica Zhang Pdf

Cutting-Edge Techniques to Better Analyze and Predict Complex Physical Phenomena Geometric Modeling and Mesh Generation from Scanned Images shows how to integrate image processing, geometric modeling, and mesh generation with the finite element method (FEM) to solve problems in computational biology, medicine, materials science, and engineering. Based on the author’s recent research and course at Carnegie Mellon University, the text explains the fundamentals of medical imaging, image processing, computational geometry, mesh generation, visualization, and finite element analysis. It also explores novel and advanced applications in computational biology, medicine, materials science, and other engineering areas. One of the first to cover this emerging interdisciplinary field, the book addresses biomedical/material imaging, image processing, geometric modeling and visualization, FEM, and biomedical and engineering applications. It introduces image-mesh-simulation pipelines, reviews numerical methods used in various modules of the pipelines, and discusses several scanning techniques, including ones to probe polycrystalline materials. The book next presents the fundamentals of geometric modeling and computer graphics, geometric objects and transformations, and curves and surfaces as well as two isocontouring methods: marching cubes and dual contouring. It then describes various triangular/tetrahedral and quadrilateral/hexahedral mesh generation techniques. The book also discusses volumetric T-spline modeling for isogeometric analysis (IGA) and introduces some new developments of FEM in recent years with applications.

Geometric Modeling

Hans Hagen,Dieter Roller
Geometric Modeling Book PDF

Author : Hans Hagen,Dieter Roller
Publisher : Springer Science & Business Media
Page : 291 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642764042

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Geometric Modeling by Hans Hagen,Dieter Roller Pdf

This book is based on lectures presented at an international workshop on geometric modeling held at Hewlett Packard GmbH in Boblingen, FRG, in June 1990. International experts from academia and industry were selected to speak on the most interesting topics in geometric modeling. The resulting papers, published in this volume, give a state-of-the-art survey of the relevant problems and issues. The following topics are discussed: - Methods for constructing surfaces on surfaces: four different solutions to the multidimen sional problem of constructing an interpolant from surface data are provided. - Surfaces in solid modeling: current results on the implementation of free-fonn solids in three well established solid models are reviewed. - Box splines and applications: an introduction to box spline methods for the representation of surfaces is given. Basic properties of box splines are derived, and refinement and evaluation methods for box splines are presented in detail. Shape preserving properties, the construction of non-rectangular box spline surfaces, applications to surface modeling, and imbedding problems, are discussed. - Advanced computer graphics techniques for volume visualization: the steps to be executed in the visualization process of volume data are described and tools are discussed that assist in handling this data. - Rational B-splines: an introduction to the representation of curves and surfaces using rational B-splines is given, together with a critical evaluation of their potential for industrial application.

Handbook of Computer Aided Geometric Design

G. Farin,J. Hoschek,M.-S. Kim
Handbook of Computer Aided Geometric Design Book PDF

Author : G. Farin,J. Hoschek,M.-S. Kim
Publisher : Elsevier
Page : 849 pages
File Size : 43,7 Mb
Release : 2002-08-13
Category : Computers
ISBN : 9780444511041

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Handbook of Computer Aided Geometric Design by G. Farin,J. Hoschek,M.-S. Kim Pdf

This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.

Image-Based Geometric Modeling and Mesh Generation

Yongjie (Jessica) Zhang
Image Based Geometric Modeling and Mesh Generation Book PDF

Author : Yongjie (Jessica) Zhang
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 42,6 Mb
Release : 2012-07-03
Category : Technology & Engineering
ISBN : 9789400742550

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Image-Based Geometric Modeling and Mesh Generation by Yongjie (Jessica) Zhang Pdf

As a new interdisciplinary research area, “image-based geometric modeling and mesh generation” integrates image processing, geometric modeling and mesh generation with finite element method (FEM) to solve problems in computational biomedicine, materials sciences and engineering. It is well known that FEM is currently well-developed and efficient, but mesh generation for complex geometries (e.g., the human body) still takes about 80% of the total analysis time and is the major obstacle to reduce the total computation time. It is mainly because none of the traditional approaches is sufficient to effectively construct finite element meshes for arbitrarily complicated domains, and generally a great deal of manual interaction is involved in mesh generation. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications.