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Produktbeschreibungen
Pressestimmen
From the reviews: a nice introduction to the foundations of applications of geometry to computer graphics and computer-aided design….A useful textbook. Zentralblatt MATH Mathematics students often ask where they can find a nice introduction to computer graphics and computer-aided design; professors have also been known to pose the same question. They will all find an answer here: Marsh’s book should guide them effectively and painlessly towards the applications of mathematics and geometry in graphics and CAD. Computer-Aided Design 32 (2000) From the reviews of the second edition: "This is a mathematics textbook on the basics of the geometry involved in computer graphics and computer-aided design, written at an undergraduate level suitable for students of mathematics, computer science, and engineering. … All of the book’s topics are presented in a clean and concise way, with nice illustrations and attention to both geometric ideas and practical issues of computing. … This book would be useful for instructors who want a specific reference … ." (Adam Coffman, Mathematical Reviews, 2005h) "Images generated by a computer are ubiquitous, they are used in science, in engineering, and by the entertainment business. This textbook is an introduction to the mathematics behind these images. … This exposition is intended for a broad audience with basic mathematical knowledge (vectors, matrices, calculus)." (P. Schmitt, Monatshefte für Mathematik, Vol. 151 (4), 2007) “The title says it all. … covers exactly what you would expect: theory and background for applying geometric techniques for visualization on a computer. … This book is part of the SUMS (Springer Undergraduate Mathematics Series). The theory and applications are explained well, and moreover the text contains numerous examples, problems, and fully worked solutions. The book was written with students in computer science, engineering as well as of mathematics in mind … .” (Pieter Audenaert, Bulletin of the Belgian Mathematical Society, 2007)
Kurzbeschreibung
The main aim of this book is to introduce geometry from the very basics and to progress to a level where the reader will have a full working knowledge of the subject and its applications. The subject matter consists of two main threads: the manipulation and the representation of geometric objects. It begins by considering simple objects consisting of points and lines, followed by a description of how points may be represented by homogenous coordinates, and how lines may be represented by line coordinates. Transformations are explained and it is shown how they are used to manipulate objects. The text then goes on to describe the two most important representations of geometric objects in CAD packages; Bzier and B-spline curves. Curve and surface design and manipulation are described in detail, Casteljau and de Boor algorithms are derived and applied. The final chapter then develops the concept of curvature for curves and surfaces which is used to assess the quality of surfaces in design.
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Einleitungssatz
The two main areas of application which are considered in this textbook are computer graphics and computer-aided design (CAD). Lesen Sie die erste Seite
Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis
The two main areas of application which are considered in this textbook are computer graphics and computer-aided design (CAD). Lesen Sie die erste Seite
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6 von 6 Kunden fanden die folgende Rezension hilfreich
Good computer graphics text
3. November 2006
Format:Taschenbuch|Von Amazon bestätigter Kauf
This text has a novel approach to entry level computer graphics using homogeneous coordinates entirely. I struggled a bit with the use of these representations in perspective transformations. However once I got it I found the derivations and formulas to be easy to get and easy to use. The book has an extensive set of exercises with complete answers. I deducted one star because the theoretical aspects of homogeneous transformations could use expansion and simplification.
1 von 1 Kunden fanden die folgende Rezension hilfreich
An Excellent Workbook for Computer Graphics
9. Februar 2011
Format:Taschenbuch
This book is unusual in a way I wish more math and computer science books would follow.
What you get is a brief description of the mathematics, the formulas that are useful, and a completely worked out example with illustrations. Although Computer is in the title there is no source code in the book. But the examples are worked out in such detail that is easy to translate them into code. And then you can use the numerical results of the examples to test each step in your own code. Beautiful.
So, looking for parametric formulas for quadrics, or quaternions, or frenet frames for Bezier curves? You will find just what you need to make it work for you. This book is packed only with the most useful real-world math for computer graphics.
What it leaves out is a lot of explanation as to why any of those topics may matter to you. It also avoids a lot of the theoretical math and extraneous factors that aren't essential to subject. This is also probably not the best tutorial for beginners but would be a great supplement to any of the core computer graphics textbooks.
My recommendations are Practical Linear Algebra: A Geometry Toolbox to get you up to speed with the math and Computer Graphics Using Open GL (2nd Edition) to get your head oriented.
Then you will understand why this book deserves 5 stars.
What you get is a brief description of the mathematics, the formulas that are useful, and a completely worked out example with illustrations. Although Computer is in the title there is no source code in the book. But the examples are worked out in such detail that is easy to translate them into code. And then you can use the numerical results of the examples to test each step in your own code. Beautiful.
So, looking for parametric formulas for quadrics, or quaternions, or frenet frames for Bezier curves? You will find just what you need to make it work for you. This book is packed only with the most useful real-world math for computer graphics.
What it leaves out is a lot of explanation as to why any of those topics may matter to you. It also avoids a lot of the theoretical math and extraneous factors that aren't essential to subject. This is also probably not the best tutorial for beginners but would be a great supplement to any of the core computer graphics textbooks.
My recommendations are Practical Linear Algebra: A Geometry Toolbox to get you up to speed with the math and Computer Graphics Using Open GL (2nd Edition) to get your head oriented.
Then you will understand why this book deserves 5 stars.
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