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Author : J. J. Risler
Publisher : Cambridge University Press
Page : 204 pages
File Size : 48,6 Mb
Release : 1992-08-13
Category : Computers
ISBN : 0521436915
As computers become the mainstay of most engineering design practices, there has been a growing interest in the theory of computational geometry and computer aided design.
Author : Jean-Jacques Risler
Publisher : Elsevier Masson
Page : 196 pages
File Size : 54,7 Mb
Release : 1992
Category : Electronic
ISBN : 2225825653
Author : Y. Gardan
Publisher : Springer Science & Business Media
Page : 163 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468415117
The use of computer-aided design (CAD) systems always involves the introduction of mathematical concepts. It is important, therefore, for any systems designer to have a good grasp of the mathematical bases used in CAD. The choice of mathematical models in a system also has an effect on the overall quality, although this effect may not always be visible to the final user. Depending on whether Bezier or B-spline functions are used for curves and surfaces, for example, the final user even if not a com puter scientist will notice a difference. If, for example, one of the control points is modified by the user, in a Bezier-type representation, the curve or surface will tend to be modified overall, but in a B-spline representation, the curve or surface will tend to be modified close to the point, and there only. More possibly harmful, however, is the effect of the mathematical model which has a number of properties invisible and unknown to the final user. In every case a model must be chosen with, it is hoped, the most appropriate characteristics and limits for the task in hand.
Author : Tom Lyche,Larry L. Schumaker
Publisher : Unknown
Page : 611 pages
File Size : 49,8 Mb
Release : 1989
Category : Geometry
ISBN : 0126330751
Author : Yvon Gardan
Publisher : Unknown
Page : 165 pages
File Size : 45,6 Mb
Release : 1985
Category : Computer-aided design
ISBN : OCLC:810625832
Author : Yvon Gardan
Publisher : Unknown
Page : 128 pages
File Size : 53,5 Mb
Release : 1985
Category : Electronic
ISBN : OCLC:929304834
Author : Tom Lyche,Larry L. Schumaker
Publisher : Academic Press
Page : 632 pages
File Size : 52,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483257808
Mathematical Methods in Computer Aided Geometric Design covers the proceedings of the 1988 International Conference by the same title, held at the University of Oslo, Norway. This text contains papers based on the survey lectures, along with 33 full-length research papers. This book is composed of 39 chapters and begins with surveys of scattered data interpolation, spline elastic manifolds, geometry processing, the properties of Bézier curves, and Gröbner basis methods for multivariate splines. The next chapters deal with the principles of box splines, smooth piecewise quadric surfaces, some applications of hierarchical segmentations of algebraic curves, nonlinear parameters of splines, and algebraic aspects of geometric continuity. These topics are followed by discussions of shape preserving representations, box-spline surfaces, subdivision algorithm parallelization, interpolation systems, and the finite element method. Other chapters explore the concept and applications of uniform bivariate hermite interpolation, an algorithm for smooth interpolation, and the three B-spline constructions. The concluding chapters consider the three B-spline constructions, design tools for shaping spline models, approximation of surfaces constrained by a differential equation, and a general subdivision theorem for Bézier triangles. This book will prove useful to mathematicians and advance mathematics students.
Author : Jean Claude Sabonnadiere,Jean Louis Coulomb
Publisher : Springer
Page : 216 pages
File Size : 53,7 Mb
Release : 1987-08-13
Category : Computers
ISBN : UOM:39015012754753
The finite element method (FEM) has been understood, at least in principle, for more than 50 years. The integral formulation on which it is based has been known for a longer time (thanks to the work of Galerkin, Ritz, Courant and Hilbert,1.4 to mention the most important). However, the method could not be applied in a practical way since it involved the solution of a large number of linear or non-linear algebraic equations. Today it is quite common, with the aid of computers, to solve non-linear algebraic problems of several thousand equations. The necessary numerical methods and programming techniques are now an integral part of the teaching curriculum in most engineering schools. Mechanical engineers, confronted with very complicated structural problems, were the first to take advantage of advanced computational methods and high level languages (FORTRAN) to transform the mechanical models into algebraic equations (1956). In recent times (1960), the FEM has been studied by applied mathematicians and, having received rigorous treatment, has become a part of the more general study of partial differential equations, gradually replacing the finite difference method which had been considered the universal tool to solve these types of problems.
Author : H. W. Wyld
Publisher : CRC Press
Page : 296 pages
File Size : 55,6 Mb
Release : 2018-03-14
Category : Science
ISBN : 9780429978647
This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.
Author : Dimitrios Ioannou Fotiadis,Christos Massalas
Publisher : World Scientific
Page : 454 pages
File Size : 51,6 Mb
Release : 2006
Category : Science
ISBN : 9789812773197
This volume comprises the papers presented at the Seventh International Workshop on Scattering Theory and Biomedical Engineering, focusing on the hottest topics in scattering theory and biomedical technology. All the contributions are state-of-the-art and have been fully reviewed. The authors are recognized as being eminent both in their field and in the science community. Sample Chapter(s). Chapter 1: A Method to Solve Inverse Scattering Problems for Electromagetic Fields in Chiral Media (891 KB). Contents: A Method to Solve Inverse Scattering Problems for Electromagnetic Fields in Chiral Media (C Athanasiadis & E Kardasi); Nonlinear Integral Equations in Inverse Obstacle Scattering (O Ivanyshyn & R Kres); Homogenization in Chiral Elasticity (G Barbatis & I G Stratis); Shape Control and Damage Identification of Piezoelectric Smart Beams Using Finite Element Modelling and Genetic Optimization (E P Hadjigeorgiou et al.); A Fast Numerical Method for a Simplified Phase Field Model (C A Sfyrakis & V A Dougalis); On the Hidden Electromagnetic Activity of the Brain (G Dassios); A Decision Tree Based Approach for the Identification of Ischaemic Beats in ECG Recordings (T P Exarchos et al.); An Automatic Microcalcification Detection System Utilizing Mammorgraphic Enhancement Techniques (A N Papadopoulos & D I Fotiadis); Multidimensional Cardiac Models (D G Tsalikakis et al.); Mobile and Electronic Medical Support and Education for Dyslexic Students (M Virvou & E Alepis); and other papers. Readership: Graduate students, academics and researchers in industry working in biomedical engineering, computational biology, mathematical biology and mathematical physics.
Author : Duncan Marsh
Publisher : Springer
Page : 350 pages
File Size : 41,6 Mb
Release : 2006-03-30
Category : Computers
ISBN : 9781846281099
Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). Over 300 exercises are included, some new to this edition, and many of which encourage the reader to implement the techniques and algorithms discussed through the use of a computer package with graphing and computer algebra capabilities. A dedicated website also offers further resources and useful links.
Author : Yvon Gardan
Publisher : MIT Press (MA)
Page : 165 pages
File Size : 40,9 Mb
Release : 1986-01
Category : Computers
ISBN : 0262070979
The use of computer-aided design (CAD) systems always involves the introduction of mathematical concepts. It is important, therefore, for any systems designer to have a good grasp of the mathematical bases used in CAD. This book introduces mathematical bases in a general way, so as to allow the reader to understand the basic tools. Based on the-work of leading French researchers, it gives a clear outline of the mathematical concepts employed in setting up a CAD system that uses interactive graphic techniques. It deals thoroughly with basic graphics, two- and three-dimensional operations, as well as considering mathematical modeling in relation to geometric modeling. It also examines curves and surfaces, numerical methods of solving equations and finite element modeling, one of the many CAD design tools available today. Contents:Part 1: Basic Problems Using Graphics. Part 2: Curves and Surfaces. Part 3: Numerical Methods for Solving Equation Systems. Part 4: The Finite Element Model. Yvon Gardan, who is Professor of Computer Science at the University of Metz, is a wellknown authority on interactive graphic techniques, and is the author of Interactive Graphics in CAD. He is also director of the CADCAM Association of France (MICADO).
Author : de Faget de Casteljau
Publisher : Springer
Page : 106 pages
File Size : 48,6 Mb
Release : 1986-06-30
Category : Computers
ISBN : PSU:000011916093
Author : Warren A. Jr. Hunt,Steven D. Johnson
Publisher : Springer
Page : 574 pages
File Size : 46,7 Mb
Release : 2007-11-29
Category : Computers
ISBN : 9783540409229
The biannual Formal Methods in Computer Aided Design conference (FMCAD 2000)is the third in a series of conferences under that title devoted to the use of discrete mathematical methods for the analysis of computer hardware and so- ware. The work reported in this book describes the use of modeling languages and their associated automated analysis tools to specify and verify computing systems. Functional veric ation has become one of the principal costs in a modern computer design e ort. In addition,verica tion of circuit models, timing,power, etc., requires even more eo rt. FMCAD provides a venue for academic and - dustrial researchers and practitioners to share their ideas and experiences of using discrete mathematical modeling and veric ation. It is noted with interest by the conference chairmen how this area has grown from just a few people 15 years ago to a vibrant area of research, development, and deployment. It is clear that these methods are helping reduce the cost of designing computing systems. As an example of this potential cost reduction, we have invited David Russino of Advanced Micro Devices, Inc. to describe his veric ation of ?oating-point - gorithms being used in AMD microprocessors. The program includes 30 regular presentations selected from 63 submitted papers.
Author : Christos V Massalas,Dimitrios I Fotiadis
Publisher : World Scientific
Page : 454 pages
File Size : 51,8 Mb
Release : 2006-08-01
Category : Science
ISBN : 9789814477598
This volume comprises the papers presented at the Seventh International Workshop on Scattering Theory and Biomedical Engineering, focusing on the hottest topics in scattering theory and biomedical technology.All the contributions are state-of-the-art and have been fully reviewed. The authors are recognized as being eminent both in their field and in the science community.