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Computational Geometry : Algorithms and Applications, by Otfried Cheong Mark Overmars
Télécharger le fichier PDF Computational Geometry : Algorithms and Applications, by Otfried Cheong Mark Overmars
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Détails sur le produit
Relié: 386 pages
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K; Édition : 3rd ed. 2008 (7 mars 2008)
Langue : Anglais
ISBN-10: 3540779736
ISBN-13: 978-3540779735
Dimensions du produit:
22,1 x 2,5 x 24,9 cm
Moyenne des commentaires client :
5.0 étoiles sur 5
1 commentaire client
Classement des meilleures ventes d'Amazon:
186.052 en Livres (Voir les 100 premiers en Livres)
I've always been interested in algorithms. Since it has been a while since I graduated, I bought this book in order to have an update on the status of several problems. This is a fantastic book. The layout is very gentle and it makes for easy reading (not everything is easy but that's not the point). The authors illustrate the crucial steps of most algorithms with nice accompanying illustrations. Care has been taken to keep th eillustrations with the text.But the contents itself is also beautiful. It starts with algorithms to compute the convex hull of a set of points, to compute intersection points for a set of line segments, ... Here the authors introduce the "sweeping line" approach, an approach that was new to me and a pleasure to learn. It doesn't stop there, they continue for triangulation of polygons (the art gallery problem), linear programming, orthogonal range checking, point location, ... Point location is done through a very very clever partitioning into trapezoids. The algorithm is not simple but the authors take their time to gently point out how it works.This is the way (mathematics) books ought to be. A warm thank you to the authors.
I'm changing my review after reviewing this book close to a final PhD exam, and becoming an expert in some of the subject matter. This book is one of the reasons why Computational Geometry is difficult to grasp. Here are the problems:1. The introductions to each chapter are verbose and has irrelevant, boring examples2. The most relevant part of each chapter is the algorithm. The algorithms part has a lot of terse proofs, and non-intuitive descriptions. Please refer to the Fortune's Voronoi diagram algorithm as an example. By reading this chapter, not even a great student will be able to simply implement it. It's just a long winding, bunch of dry proofs, and then steps of the algorithm, which develops no understanding, that it simply is the intersection of the parabolas that satisfy the requirement of the Voronoi partition.3. The research section towards the end presents some examples, but most of the ideas in these are also not developed to further understanding.I blame this book for turning many smart students away from Computational Geometry. Given that it's considered the standard text book in CG.
Comprehensive, deep, clear (i.e. readable). Pseudo-code (high level) is provided at end of each chapter. Also exercises. Reader must still convert from pseudo-code to programming language in order to actually implement. A web site is listed to help with that, which provides links to programming resources. I haven't yet tried them..
It is a joy to read and review this book -- the exposition is crystal clear; the writing style is warm and engaging (not too terse and not too verbose), conveying understanding and not just stating facts, theorems, and algorithms; the graphics are great (numerous richly detailed illustrations); the topics hit the heart of computational geometry; the historical remarks help set context; and the book is beautifully typeset and printed on high quality acid free paper.
This book is a must to all researchers and students of the field. The algorithms are always presented in the context of an application, which makes it the more understandable. However, the authors chose to present them in a very high level of abstraction, and some of the finer details - so important in these algorithms - are only mentioned, which may pose a problem to obtaining a suitable, efficient implementation of them in a programming language.
Beautiful book, solid contents. I learned a lot from it and had a nice time practicing with the exercises. Lots of examples and problems, a lot of interesting algorithms and techniques, every chapter is a progressive refinement of a particular idea to solve a problem expressed as geometry.Difficulty level: make sure you know some asymptotic analysis and discrete mathematics to get the best out of it, but could be read by anyone who can code i believe (although again, he'll miss a lot of beautiful mathematics)Again, i'm very satisfied with it.
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