Curve and Surface Reconstruction: Algorithms with Mathematical Analysis (Cambridge Monographs on Applied and Computational Mathematics) | 
 enlarge | Author: Tamal K. Dey
Publisher: Cambridge University Press
Category: Book
List Price: $77.00
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Rating:  2 reviews
Sales Rank: 1182832
Media: Hardcover
Edition: 1
Pages: 228
Number Of Items: 1
Shipping Weight (lbs): 0.9
Dimensions (in): 9.2 x 6.2 x 0.7
ISBN: 0521863708
Dewey Decimal Number: 516.362
EAN: 9780521863704
Publication Date: October 16, 2006
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Product Description
Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi and Delaunay based techniques, implicit surface based methods and Morse theory based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject.
Book Description
After developing the basics of a sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples.
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| Customer Reviews:
 Highly recommended October 23, 2007
creativity
1 out of 2 found this review helpful
I will recommend this book for all those who are interested in knowing the
state of the art in the subject of curve and surface reconstruction. Curve
and surface reconstruction from point cloud is not an easy problem and over
the years a significant amount of research is done on this subject. This book
is where you get it all together.
It starts with compiling all the mathematical constructs and concepts one need
to understand before getting into this subject in more details. This book treats
the subject in a nice order in the sense it starts with curve reconstruction
algorithms, surface reconstruction algorithms, ways to deal with undersampling,
producing water tight surface, and dealing with noisy data. This is in a way
the order the subject has developed over the years. It treats the mathematics
behind the algorithm very well. Though at some places mathematical rigor is
maintained but the intuition is also very clear.
In general, I like monograph like these because they are very handy and
useful for references. I do not have to scramble through papers all the time
to find a result or an algorithm. I once again recommend highly of this book.
 Papers piecing together October 14, 2007
sunshine
Rather than waste money on this book, it is better to read original papers for the purpose of getting accurate ideas and concepts.
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