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. They achieve a balance between mathematical rigor and broad applicability. Appropriate for readers with a moderate degree of mathematical maturity, this book is suitable as an undergraduate or graduate text, or particularly as a resource for self-study.
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7 of 11 people found the following review helpful:
3.0 out of 5 stars
A good reference, nothing more,
By A Customer
This review is from: Geometric Modeling with Splines: An Introduction (Hardcover)
This book is quite helpful in understanding the theory behind splines as well as algorithms that can be easily coded up. Multiple variants of spline algorithms are discussed and analyzed quite thoroughly. The book is, however, racked with many errors making it unsuitible for teaching yourself the material. Also the authors seemed to create the own notations that are quite different than those presented by others such as Gallier and deBoor. They also assume that you have a firm understanding in vector calculus and linear algebra. All in all, not a bad book assuming descent mathematical background and the extensive erratta sheet that I'm sure someone has compiled.
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Inside This Book
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First Sentence:
In the sections that follow we provide a short presentation of some of the basic material which will be needed in various other chapters of the book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
complete cubic spline interpolation, regular parametric representation, refined knot vector, subdivided curves, rational parametric form, open end conditions, isoparametric curves, isoparametric surface, variation diminishing approximation, trivariate function, arc length parameterization, tensor product surface, control polygon, implicit quadratic, osculating paraboloid, discrete splines, child vertices, moving trihedron, knot vectors, bicubic surface, subdivided mesh, tangent plane continuity, blending functions, trimming curves, blending formulation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Programming Exercise, Effect Modeling, Review of Basic Concepts, Linear Spaces of B-Splines, Prove Lemma, Fitting Surfaces, Oslo Algorithm, Curve Intersect, Jordan Separation Theorem, Representation Issues Figure, B-Spline Space Figure, Matrix Expansions, Other Positional Interpolation, Parametric Extensions New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In the sections that follow we provide a short presentation of some of the basic material which will be needed in various other chapters of the book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
complete cubic spline interpolation, regular parametric representation, refined knot vector, subdivided curves, rational parametric form, open end conditions, isoparametric curves, isoparametric surface, variation diminishing approximation, trivariate function, arc length parameterization, tensor product surface, control polygon, implicit quadratic, osculating paraboloid, discrete splines, child vertices, moving trihedron, knot vectors, bicubic surface, subdivided mesh, tangent plane continuity, blending functions, trimming curves, blending formulation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Programming Exercise, Effect Modeling, Review of Basic Concepts, Linear Spaces of B-Splines, Prove Lemma, Fitting Surfaces, Oslo Algorithm, Curve Intersect, Jordan Separation Theorem, Representation Issues Figure, B-Spline Space Figure, Matrix Expansions, Other Positional Interpolation, Parametric Extensions New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 10
books:
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6
books
cite this book:
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- Computer Graphics by Acm Press in Back Matter (1), and Back Matter (2)
- Approximation Theory (Proceedings of Symposia in Applied Mathematics) by Carl De Boor in Back Matter (1), and Back Matter (2)
- Total Positivity, Volume One by Samuel Karlin in Back Matter
- Applied Numerical Linear Algebra by James W. Demmel in Back Matter
- Linear Algebra: Supplementary Notes & Problems by E. L. Cohen in Back Matter
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- Principles of Computer Graphics: Theory and Practice Using OpenGL and Maya® by Shalini Govil-Pai on page 5, and Back Matter
- Geometric Tools for Computer Graphics (The Morgan Kaufmann Series in Computer Graphics) by Philip Schneider in Back Matter
- Modeling and Problem Solving Techniques for Engineers by Laszlo Horvath in Back Matter
- Numerical Simulations and Case Studies Using Visual C++.Net by Shaharuddin Salleh on page 148
- Microscale Heat Transfer - Fundamentals and Applications: Proceedings of the NATO Advanced Study Institute on Microscale Heat Transfer - Fundamentals ... II: Mathematics, Physics and Chemistry) by S. Kakaç on page 367
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