Download or read book Mathematical Methods for CAD written by J. J. Risler and published by Cambridge University Press. This book was released on 1992-08-13 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Methods for CAD computer Aided Design written by Jean-Jacques Risler and published by Elsevier Masson. This book was released on 1992 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Methods for CAD written by and published by . This book was released on 1994 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics and CAD written by Y. Gardan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computational And Mathematical Methods In Cardiovascular Physiology written by Liang Zhong and published by World Scientific. This book was released on 2019-04-26 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cardiovascular diseases (CVD) including heart diseases, peripheral vascular disease and heart failure, account for one-third of deaths throughout the world. CVD risk factors include systolic blood pressure, total cholesterol, high-density lipoprotein cholesterol, and diabetic status. Clinical trials have demonstrated that when modifiable risk factors are treated and corrected, the chances of CVD occurring can be reduced. This illustrates the importance of this book's elaborate coverage of cardiovascular physiology by the application of mathematical and computational methods.This book has literally transformed Cardiovascular Physiology into a STEM discipline, involving (i) quantitative formulations of heart anatomy and physiology, (ii) technologies for imaging the heart and blood vessels, (iii) coronary stenosis hemodynamics measure by means of fractional flow reserve and intervention by grafting and stenting, (iv) fluid mechanics and computational analysis of blood flow in the heart, aorta and coronary arteries, and (v) design of heart valves, percutaneous valve stents, and ventricular assist devices.So how is this mathematically and computationally configured landscape going to impact cardiology and even cardiac surgery? We are now entering a new era of mathematical formulations of anatomy and physiology, leading to technological formulations of medical and surgical procedures towards more precise medicine and surgery. This will entail reformatting of (i) the medical MD curriculum and courses, so as to educate and train a new generation of physicians who are conversant with medical technologies for applying into clinical care, as well as (ii) structuring of MD-PhD (Computational Medicine and Surgery) Program, to train competent medical and surgical specialists in precision medical care and patient-specific surgical care.This book provides a gateway for this new emerging scenario of (i) science and engineering based medical educational curriculum, and (ii) technologically oriented medical and surgical procedures. As such, this book can be usefully employed as a textbook for courses in (i) cardiovascular physiology in both the schools of engineering and medicine of universities, as well as (ii) cardiovascular engineering in biomedical engineering departments worldwide.
Download or read book Finite Element Methods in CAD written by Jean Claude Sabonnadiere and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematics and CAD written by Yvon Gardan and published by . This book was released on 1985 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Methods in Computer Aided Geometric Design written by Tom Lyche and published by Academic Press. This book was released on 2014-05-10 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Methods for Scientists and Engineers written by Peter B. Kahn and published by Courier Corporation. This book was released on 2004-01-01 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appropriate for advanced undergraduate and graduate students in a variety of scientific and engineering fields, this text introduces linear and nonlinear problems and their associated models. The first part covers linear systems, emphasizing perturbation or approximation techniques and asymptotic methods. The second part comprises nonlinear problems, including weakly nonlinear oscillatory systems and nonlinear difference equations. The two parts, both of which include exercises, merge smoothly, and many of the nonlinear techniques arise from the study of the linear systems. 1990 edition. 70 figures. 4 tables. Appendix. Index.
Download or read book Mathematical Methods For Physics written by H. W. Wyld and published by CRC Press. This book was released on 2018-03-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Applied Geometry for Computer Graphics and CAD written by Duncan Marsh and published by Springer. This book was released on 2006-03-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Methods in Computer Aided Geometric Design II written by Tom Lyche and published by Academic Press. This book was released on 2014-05-10 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods in Computer Aided Geometric Design II covers the proceedings of the 1991 International Conference on Curves, Surfaces, CAGD, and Image Processing, held at Biri, Norway. This book contains 48 chapters that include the topics of blossoming, cyclides, data fitting and interpolation, and finding intersections of curves and surfaces. Considerable chapters explore the geometric continuity, geometrical optics, image and signal processing, and modeling of geological structures. The remaining chapters discuss the principles of multiresolution analysis, NURBS, offsets, radial basis functions, rational splines, robotics, spline and Bézier methods for curve and surface modeling, subdivision, terrain modeling, and wavelets. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.
Download or read book Mathematics and CAD written by Yvon Gardan and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book CAD CAE Descriptive Geometry written by Daniel L. Ryan and published by CRC Press. This book was released on 1991-12-18 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: CAD/CAE Descriptive Geometry provides a sound foundation in the fundamentals of plane geometry (mathematics), orthographic projection (technical drawing), and high-speed communication methods (digital computing). The material presented in this textbook is based on the premise that readers have access to IBM PC or PS/2 compatible workstations running AutoDesk software. The chapters cover the basic geometry topic in detail using the CAD workstation. The book is an excellent industry and institutional reference, as well as a student text.
Download or read book Mathematics and CAD Numerical methods for CAD written by Yvon Gardan and published by MIT Press (MA). This book was released on 1986-01 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Mathematics for Computer Graphics written by John Vince and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics. The author, John Vince, makes the concepts easy to understand, enabling non-experts to come to terms with computer animation work. The book complements the author's other works and is written in the same accessible and easy-to-read style. It is also a useful reference book for programmers working in the field of computer graphics, virtual reality, computer animation, as well as students on digital media courses, and even mathematics courses.
Download or read book Mathematical Methods in Scattering Theory and Biomedical Engineering written by Dimitrios Ioannou Fotiadis and published by World Scientific. This book was released on 2006 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
