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Geometric Applications of Principal Component Analysis: Quality of PCA Bounding Boxes and Detecting Symmetry - Softcover
Synopsis
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.
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About the Author
Dr. Dimitrov obtained his PhD from Free University Berlin as a member of the Theoretical Computer Science Group at the Department of Mathematics and Computer Science. His main areas of interests are Computational Geometry and Graph Theory.
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Geometric Applications of Principal Component Analysis
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Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG Jul 2015, 2015
ISBN 10: 3838134338
ISBN 13: 9783838134338
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. 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
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Geometric Applications of Principal Component Analysis
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Südwestdeutscher Verlag für Hochschulschriften, 2012
ISBN 10: 3838134338
ISBN 13: 9783838134338
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Seller: moluna, Greven, Germany
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Dimitrov DarkoDr. Dimitrov obtained his PhD from Free University Berlin as a member of the Theoretical Computer Science Group at the Department of Mathematics and Computer Science. His main areas of interests are Computational Geome. Seller Inventory # 5407710
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Geometric Applications of Principal Component Analysis | Quality of PCA Bounding Boxes and Detecting Symmetry
Published by
Südwestdeutscher Verlag für Hochschulschriften, 2015
ISBN 10: 3838134338
ISBN 13: 9783838134338
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Taschenbuch. Condition: Neu. Geometric Applications of Principal Component Analysis | Quality of PCA Bounding Boxes and Detecting Symmetry | Darko Dimitrov | Taschenbuch | 148 S. | Englisch | 2015 | Südwestdeutscher Verlag für Hochschulschriften | EAN 9783838134338 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Seller Inventory # 106323308
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Geometric Applications of Principal Component Analysis
Published by
Südwestdeutscher Verlag Für Hochschulschriften Aug 2012, 2012
ISBN 10: 3838134338
ISBN 13: 9783838134338
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. 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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 148 pp. Englisch. Seller Inventory # 9783838134338
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Geometric Applications of Principal Component Analysis : Quality of PCA Bounding Boxes and Detecting Symmetry
Published by
Südwestdeutscher Verlag Für Hochschulschriften, 2012
ISBN 10: 3838134338
ISBN 13: 9783838134338
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. 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