A complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic. Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry.
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3 of 4 people found the following review helpful:
4.0 out of 5 stars
a handbook of formulae,
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This review is from: Geometry for Computer Graphics: Formulae, Examples and Proofs (Hardcover)
Computer graphics is all about geometry, as you may well imagine, if you have ever had to code in this field. Vince attacks a problem for many such programmers. The field has hundreds (if not thousands) of formulae, for all sorts of conceivable configurations. Yet these formulae are scattered across many texts and research papers and websites. Associated with this is the widely varying levels of explanatory details you will find. And some formulae might actually be wrong! How would you know, for some complicated instances, if your expertise is not deep?What Vince has done is bring hundreds of useful formulae under one cover. For both 2 and 3 dimensional images. Plus, he explains these in a consistent and lucid manner. And there are examples of usages. More than anything else, the examples can be a quick way to understand and apply the formulae. It is also no small matter that this is done under Springer. The publisher's technical reputation is a reassuring validation of the book.
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Inside This Book
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First Sentence:
The reader will probably be aware that the simplest of formulas must be treated with great care. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
alternate internal angles, respective position vectors, intersect condition, use vector analysis, sina cosß, touch condition, sing cosß, using barycentric, sina sing, miss condition, cyclic quadrilateral, cosine rule, plane equation, cosa cosß, line equation, circumscribed circle, parametric form Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, John Wiley, San Diego, Ellipse General, Graphics Gems, Hyperbola General New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
The reader will probably be aware that the simplest of formulas must be treated with great care. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
alternate internal angles, respective position vectors, intersect condition, use vector analysis, sina cosß, touch condition, sing cosß, using barycentric, sina sing, miss condition, cyclic quadrilateral, cosine rule, plane equation, cosa cosß, line equation, circumscribed circle, parametric form Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, John Wiley, San Diego, Ellipse General, Graphics Gems, Hyperbola General New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
This book cites 23
books:
See all 23 books this book cites
- Geometry: Plane and Fancy (Undergraduate Texts in Mathematics) by David A. Singer in Table of Contents, and Index
- Geometry: Our Cultural Heritage by Audun Holme in Table of Contents, and Index
- Handbook of Mathematics and Computational Science by J. Harris in Table of Contents, and Index
- Mathematics: From the Birth of Numbers by Jan Gullberg in Table of Contents, and Index
- Proofs from THE BOOK by Martin Aigner in Index
See all 23 books this book cites
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