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Solid Shape (Artificial Intelligence), by Jan J. Koenderink
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Solid Shape gives engineers and applied scientists access to the extensive mathematical literature on three dimensional shapes. Drawing on the author's deep and personal understanding of three-dimensional space, it adopts an intuitive visual approach designed to develop heuristic tools of real use in applied contexts.Increasing activity in such areas as computer aided design and robotics calls for sophisticated methods to characterize solid objects. A wealth of mathematical research exists that can greatly facilitate this work yet engineers have continued to "reinvent the wheel" as they grapple with problems in three dimensional geometry. Solid Shape bridges the gap that now exists between technical and modern geometry and shape theory or computer vision, offering engineers a new way to develop the intuitive feel for behavior of a system under varying situations without learning the mathematicians' formal proofs. Reliance on descriptive geometry rather than analysis and on representations most easily implemented on microcomputers reinforces this emphasis on transforming the theoretical to the practical.Chapters cover shape and space, Euclidean space, curved submanifolds, curves, local patches, global patches, applications in ecological optics, morphogenesis, shape in flux, and flux models. A final chapter on literature research and an appendix on how to draw and use diagrams invite readers to follow their own pursuits in threedimensional shape.Jan J. Koenderinck is Professor in the Department of Physics and Astronomy at Utrecht University. Solid Shape is included in the Artificial Intelligence series, edited by Patrick Winston, Michael Brady, and Daniel Bobrow
- Sales Rank: #1953780 in Books
- Published on: 1990-03-21
- Original language: English
- Number of items: 1
- Dimensions: 9.20" h x 1.80" w x 6.30" l, 2.70 pounds
- Binding: Hardcover
- 715 pages
About the Author
Jan J. Koenderink is Professor in the Department of Physics and Astronomy at Utrecht University.
Most helpful customer reviews
8 of 10 people found the following review helpful.
VP, R&D Si Valley high tech firm
By A Customer
This book is great. As well as an intro to differential geometry, it provides very personalized comentary on the whole of geometric literature. It's as if Mandelbrot wrote Hilbert and Cohen-Voss 's "Geometry and the Imagination." Great Bibliography.
3 of 3 people found the following review helpful.
Fascinating & Intuitive
By William J. Brown
I had a course based on this book in grad school and loved the book. It's a fascinating and intuitive exploration of geometry that actually uses our visual sense to help us understand shape, a big step forward from some other geometry books that somehow manage to avoid using images in their description of shape (?!).
1 of 1 people found the following review helpful.
A brilliant exposition
By Roy S
This book was, for me a non-mathematician with college level maths, a revelatory introduction to differential geometry. I've always had a interest in geometry since 1st year high school when I was introduced to Euclid's Elements, so I have a favorable mindset.
What I found so attractive about Solid Shape is that it gives a nice intuitive introduction yet doesn't forgo a more rigorous exposition. Highly recommended reading for anyone interested in differential geometry.
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