Geometric Applications of Principal Component Analysis

Language: English

Published by Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG Jul 2015, 2015

3838134338 / 9783838134338

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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Softcover

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This item is printed on demand - it takes 3-4 days longer - Neuware -Most of the applications of Principal Component Analysis (PCA) are non-geometric in their nature. However, there are also a few purely geometric applications. The focus of this book are the geometric properties of the PCA in the context of PCA bounding boxes and reflective symmetry. A frequently used heuristic for computing a bounding box of a set of points is based on PCA. Here, the quality of the PCA bounding boxes is investigated. Bounds on the worst case ratio of the volume of the PCA bounding box and the volume of the minimum volume bounding box are presented. Also, the impact of the theoretical results on applications of several PCA variants in practice are studied. Symmetry detection is an important problem with many applications in pattern recognition, computer vision and computational geometry. In this book, we use a relation between the perfect reflective symmetry and the principal components of shapes to compute the planes of symmetry of perfect and approximate reflective symmetric point sets. 148 pp. Englisch.…

Seller Inventory # 9783838134338

Title
Geometric Applications of Principal Component Analysis
Author
Darko Dimitrov
Publisher
Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG Jul 2015
Publication year
2015
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3838134338
ISBN 13
9783838134338
Item weight
238 grams
Dimensions
220x150x10 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

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BuchWeltWeit Ludwig Meier e.K.

Germany