Geometric Modeling

Geometric Modeling PDF Author: Michael E. Mortenson
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 536

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Book Description
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. Introduction. Curves. Hermite Curves. Bezier Curvers. B-Spline Curves. Surfaces. Bicubic Hermite Surfaces. Bezier Surfaces. B-Spline Surfaces. Solids. Complex Model Construction. Geometric Properties. Answers to Selected Exercises. Index.

Geometric Modeling

Geometric Modeling PDF Author: Michael E. Mortenson
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 536

Get Book Here

Book Description
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. Introduction. Curves. Hermite Curves. Bezier Curvers. B-Spline Curves. Surfaces. Bicubic Hermite Surfaces. Bezier Surfaces. B-Spline Surfaces. Solids. Complex Model Construction. Geometric Properties. Answers to Selected Exercises. Index.

Computer Graphics and Geometric Modelling

Computer Graphics and Geometric Modelling PDF Author: Max K. Agoston
Publisher: Springer Science & Business Media
ISBN: 9781852338183
Category : Computers
Languages : en
Pages : 960

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Book Description
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 Modeling

Computer Graphics and Geometric Modeling PDF Author: David Salomon
Publisher: Springer Science & Business Media
ISBN: 1461215048
Category : Computers
Languages : en
Pages : 862

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Book Description
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 Modelling, Numerical Simulation, and Optimization:

Geometric Modelling, Numerical Simulation, and Optimization: PDF Author: Geir Hasle
Publisher: Springer Science & Business Media
ISBN: 3540687831
Category : Mathematics
Languages : en
Pages : 559

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Book Description
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 Modeling

Geometric Modeling PDF Author: Nikolay Golovanov
Publisher: Createspace Independent Publishing Platform
ISBN: 9781497473195
Category : Computer-aided design
Languages : en
Pages : 0

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Book Description
"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.

Geometric Modeling for Scientific Visualization

Geometric Modeling for Scientific Visualization PDF Author: Guido Brunnett
Publisher: Springer Science & Business Media
ISBN: 9783540401162
Category : Mathematics
Languages : en
Pages : 512

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Book Description
Geometric Modeling and Scientific Visualization are both established disciplines, each with their own series of workshops, conferences and journals. But clearly both disciplines overlap; this observation led to the idea of composing a book on Geometric Modeling for Scientific Visualization.

Mathematical Aspects of Geometric Modeling

Mathematical Aspects of Geometric Modeling PDF Author: Charles A. Micchelli
Publisher: SIAM
ISBN: 0898713315
Category : Mathematics
Languages : en
Pages : 263

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Book Description
Examines concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies them.

Geometric Modelling

Geometric Modelling PDF Author: Guido Brunnett
Publisher: Springer Science & Business Media
ISBN: 9783211836033
Category : Computers
Languages : en
Pages : 350

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Book Description
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 and Mesh Generation from Scanned Images

Geometric Modeling and Mesh Generation from Scanned Images PDF Author: Yongjie Jessica Zhang
Publisher: CRC Press
ISBN: 1315360225
Category : Computers
Languages : en
Pages : 258

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Book Description
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 with Splines

Geometric Modeling with Splines PDF Author: Elaine Cohen
Publisher: CRC Press
ISBN: 1439864209
Category : Computers
Languages : en
Pages : 639

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Book Description
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.