Geometric Modelling

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Geometric Modelling, Numerical Simulation, and Optimization:

Geir Hasle,Knut-Andreas Lie,Ewald Quak
Geometric Modelling Numerical Simulation and Optimization Book PDF

Author : Geir Hasle,Knut-Andreas Lie,Ewald Quak
Publisher : Springer Science & Business Media
Page : 559 pages
File Size : 51,9 Mb
Release : 2007-06-10
Category : Mathematics
ISBN : 9783540687832

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Geometric Modelling, Numerical Simulation, and Optimization: by Geir Hasle,Knut-Andreas Lie,Ewald Quak Pdf

This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.

Geometric Modelling

Guido Brunnett,H. Bieri,G. Farin
Geometric Modelling Book PDF

Author : Guido Brunnett,H. Bieri,G. Farin
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 41,5 Mb
Release : 2001-06-29
Category : Computers
ISBN : 3211836039

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Geometric Modelling by Guido Brunnett,H. Bieri,G. Farin Pdf

Geometric Modelling is concerned with the computer aided design, manipulation, storage and transmission of geometric shape. It provides fundamental techniques to different areas of application as CAD/CAM, computer graphics, scientific visualization, and virtual Reality. 20 papers presented by leading experts give a state-of-the-art survey of the following topics: surface design and fairing; multiresolution models; reverse engineering; solid modelling; constrained based modelling.

Geometric Modeling

Michael E. Mortenson
Geometric Modeling Book PDF

Author : Michael E. Mortenson
Publisher : Unknown
Page : 536 pages
File Size : 53,6 Mb
Release : 2006
Category : Computers
ISBN : UCSD:31822034403907

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Geometric Modeling by Michael E. Mortenson Pdf

Completely updated to include the most recent developments in the field, the third edition like the two previous editions, emphasizes clarity and thoroughness in the mathematical development of its subjects. It is written in a style that is free of jargon of special applications, while integrating the three important functions of geometric modeling: to represent elementary forms (curves, surfaces, and solids), to shape and assemble these into complex forms, and to determine geometric properties and relationships. With hundreds of illustrations, this unique book appeals to the readers visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. Upper-division and graduate students, teachers, and professionals studying, teaching or practicing geometric modeling, 3D modeling, computational geometry, computer graphics applications, animation, CAD/CAM, and related subjects will find this to be a very valuable reference.

Geometric Modelling

Fumihiko Kimura
Geometric Modelling Book PDF

Author : Fumihiko Kimura
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 53,9 Mb
Release : 2001-10-31
Category : Computers
ISBN : 0792375386

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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.

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 : 46,6 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

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 : 960 pages
File Size : 50,6 Mb
Release : 2005-01-04
Category : Computers
ISBN : 1852338180

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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 modeling, this two-volume work covers implementation and theory in a thorough and systematic fashion. It covers the computer graphics part of the field of geometric modeling and includes all the standard computer graphics topics. The CD-ROM features two companion programs.

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 : 50,6 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.

Geometric Modelling

R. Albrecht,H. Hagen,G. Farin,Hartmut Noltemeier
Geometric Modelling Book PDF

Author : R. Albrecht,H. Hagen,G. Farin,Hartmut Noltemeier
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783709175842

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Geometric Modelling by R. Albrecht,H. Hagen,G. Farin,Hartmut Noltemeier Pdf

Experts from university and industry are presenting new technologies for solving industrial problems and giving many important and practicable impulses for new research. Topics explored include NURBS, product engineering, object oriented modelling, solid modelling, surface interrogation, feature modelling, variational design, scattered data algorithms, geometry processing, blending methods, smoothing and fairing algorithms, spline conversion. This collection of 24 articles gives a state-of-the-art survey of the relevant problems and issues in geometric modelling.

Geometric Modelling

S. Hahmann,G. Brunnett,Gerald Farin,R. Goldman
Geometric Modelling Book PDF

Author : S. Hahmann,G. Brunnett,Gerald Farin,R. Goldman
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 44,7 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

Advances in Multiresolution for Geometric Modelling

Neil Dodgson,Michael S. Floater,Malcolm Sabin
Advances in Multiresolution for Geometric Modelling Book PDF

Author : Neil Dodgson,Michael S. Floater,Malcolm Sabin
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 42,9 Mb
Release : 2006-05-24
Category : Mathematics
ISBN : 9783540268086

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Advances in Multiresolution for Geometric Modelling by Neil Dodgson,Michael S. Floater,Malcolm Sabin Pdf

Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression, and digital transmission of 3D geometric objects. This book marks the culmination of the four-year EU-funded research project, Multiresolution in Geometric Modelling (MINGLE). The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area. All papers were originally presented at the MINGLE 2003 workshop held at Emmanuel College, Cambridge, UK, 9-11 September 2003.

Geometric Modeling

Nikolay Golovanov
Geometric Modeling Book PDF

Author : Nikolay Golovanov
Publisher : Createspace Independent Publishing Platform
Page : 0 pages
File Size : 48,7 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.

Tutorials on Multiresolution in Geometric Modelling

Armin Iske,Ewald Quak,Michael S. Floater
Tutorials on Multiresolution in Geometric Modelling Book PDF

Author : Armin Iske,Ewald Quak,Michael S. Floater
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 48,9 Mb
Release : 2002-06-12
Category : Mathematics
ISBN : 3540436391

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Tutorials on Multiresolution in Geometric Modelling by Armin Iske,Ewald Quak,Michael S. Floater Pdf

This is the only textbook available on multiresolution methods in geometric modeling, a central topic in visualization, which is of great importance for industrial applications. Written in tutorial form, the book is introductory in character, and includes supporting exercises. Other supplementary material and software can be downloaded from the website www.ma.tum.de/primus 2001/.

Computer Graphics and Geometric Modeling

David Salomon
Computer Graphics and Geometric Modeling Book PDF

Author : David Salomon
Publisher : Springer Science & Business Media
Page : 862 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461215042

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Computer Graphics and Geometric Modeling by David Salomon Pdf

A book for those interested in how modern graphics programs work and how they can generate realistic-looking objects. It emphasises the mathematics behind computer graphics, most of which is included in an appendix. The main topics covered are: scan conversion methods; selecting the best pixels for generating lines, circles and other objects; geometric transformations and projections; translations, rotations, moving in 3D, perspective projections, curves and surfaces; construction, wire-frames, rendering, normals; CRTs, antialiasing, animation, colour, perception, polygons, compression. With its numerous illustrative examples and exercises, the book is ideal for a two-semester course for advanced undergraduates or graduates, while also making a fine reference for professionals in the field.

Geometric Modeling in Probability and Statistics

Ovidiu Calin,Constantin Udrişte
Geometric Modeling in Probability and Statistics Book PDF

Author : Ovidiu Calin,Constantin Udrişte
Publisher : Springer
Page : 375 pages
File Size : 44,7 Mb
Release : 2014-07-17
Category : Mathematics
ISBN : 9783319077796

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Geometric Modeling in Probability and Statistics by Ovidiu Calin,Constantin Udrişte Pdf

This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors’ hope that the present book will be a valuable reference for researchers and graduate students in one of the aforementioned fields. This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far.

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 : 570 pages
File Size : 54,8 Mb
Release : 1989-10-10
Category : Computers
ISBN : 3540514724

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

This book originates from the lectures given at the international conference "Theory and Practice of Geometric Modeling", Blaubeuren, FRG, October 3-7, 1988, that brought together leading experts from universities, system developers, and system users, to discuss new concepts and future trends in geometric modeling. The book covers a variety of topics on an advanced level and is organized as follows. Part A contains new algorithms and techniques for modeling objects that are bounded by free form surfaces. Part B focuses on surface/surface intersections, new types of blending surfaces and speed ups for ray tracing. Part C contains some new geometric tools. Part D discusses different representation schemes in solid modeling, conversions between these different schemes, and some applications. Part E covers some issues of product modeling, automatic tolerancing, high level specification of solid models (constraints, features) and the need for better user interfaces.