Non-Uniform Rational B-Splines have become the de facto standard in CAD/CAM and computer graphics. This well-known book covers NURBS from their geometric beginnings to their industrial applications. The second edition incorporates new results and a chapter on Pythagorean curves, a development that shows promise in applications such as NC machining or robot motion control. Includes more than fifty new figures.
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Most Helpful Customer Reviews
6 of 7 people found the following review helpful:
5.0 out of 5 stars
Great book!,
By Igor Borovikov (Foster City, CA United States) - See all my reviews
This review is from: Nurbs: From Projective Geometry to Practical Use, 2nd Edition (Hardcover)
The book is written in a clear and clean mathematical language. It offers an excelent introduction into both subjects - projective geometry and NURBS. It would be great if, in addition to the basic exercises, the book would also contain more advanced problems. Evidently this book is not for programmers or CAD users looking for a reference book on practical algorithms or applications of NURBS. But it is an excellent starting point for learning the mathematical foundations of NURBS.
8 of 11 people found the following review helpful:
2.0 out of 5 stars
From the perspective of a beginner,
This review is from: Nurbs: From Projective Geometry to Practical Use, 2nd Edition (Hardcover)
I have never seen projective geometry before and the explanation of the basics is very good, in the beggining. The standard quickly drops, some key terms are introduced with scant or no detail and then used heavily in subsequent sections and derivations. Maybe this book would be effective if it were covered in lectures and tutorials, unfortunately I don't have that luxury.
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Inside This Book
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First Sentence:
Most of us have studied geometry to some extent once, and in most cases, it was euclidean geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
projective reference frame, extended affine plane, bilinear osculant, parametric conics, shoulder tangent, conic splines, bilinear patch, affine conic, quadratic patch, hodograph curves, polygon legs, affine quadrics, blossom values, control polygon, central collineation, knot sequence, rational quadratic form, computer aided geometric design, conic case, curvature continuity, projective maps, affine points, rational quartic, rational cubics, knot insertion Key Phrases - Capitalized Phrases (CAPs): (learn more)
Conics Figure, The Projective Plane Figure, Rectangular Patches Figure, Projective Maps Figure, Pythagorean Curves Figure, Quadrics Figure New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Most of us have studied geometry to some extent once, and in most cases, it was euclidean geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
projective reference frame, extended affine plane, bilinear osculant, parametric conics, shoulder tangent, conic splines, bilinear patch, affine conic, quadratic patch, hodograph curves, polygon legs, affine quadrics, blossom values, control polygon, central collineation, knot sequence, rational quadratic form, computer aided geometric design, conic case, curvature continuity, projective maps, affine points, rational quartic, rational cubics, knot insertion Key Phrases - Capitalized Phrases (CAPs): (learn more)
Conics Figure, The Projective Plane Figure, Rectangular Patches Figure, Projective Maps Figure, Pythagorean Curves Figure, Quadrics Figure 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 17
books:
See all 17 books this book cites
- Computer Graphics by Acm Press on 5 pages
- Mathematical Methods (School Mathematics Project 16-19) by School Mathematics Project in Back Matter
- Fundamentals of Computer Aided Geometric Design by Josef Hoschek in Back Matter
- Geometry and the Imagination (CHEL/87.H) (AMS Chelsea Publishing) by David Hilbert in Back Matter
- A Practical Guide to Splines by Carl De Boor in Back Matter
See all 17 books this book cites
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