Geometric Applications of Principal Component Analysis : Quality of PCA Bounding Boxes and Detecting Symmetry
Language: English
Published by Südwestdeutscher Verlag Für Hochschulschriften, 2012
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 66.41
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Add to basketItem description from seller
nach der Bestellung gedruckt Neuware - Printed after ordering - 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.…
Seller Inventory # 9783838134338
- Title
- Geometric Applications of Principal Component Analysis : Quality of PCA Bounding Boxes and Detecting Symmetry
- Author
- Darko Dimitrov
- Publisher
- Südwestdeutscher Verlag Für Hochschulschriften
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3838134338
- ISBN 13
- 9783838134338
- Item weight
- 238 grams
- Dimensions
- 220x150x10 mm
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