Geometric Optimization Problems in Computer Vision & Medical Imaging : Multimodal 3D Volume Registration, Discrete & Differential Pose Estimation

Language: English

Published by VDM Verlag Dr. Müller, VDM Verlag Dr. Müller E.K., 2008

3639032268 / 9783639032260

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Neuware - We explore various optimization problems whichappear in computer vision and image processing. By exploiting the geometric structure of the underlying search spaces, we develop more efficient and robust ways to find optimal solutions.We present the Nelder-Mead algorithms on Lie groups and describe its application to medical image registration. A widely used approach to image registration involves finding the transformation that maximizes the mutual information between two images, with the transformation restricted to be either rigid-body (i.e., belonging to SE(3)) or volume-preserving (i.e., belonging to SL(3)). We present coordinate-invariant, geometric versionsof the Nelder-Mead optimization algorithm on the transformation groups SL(3), SE(3), and its various subgroups, that are applicable to a wide class of image registration problems. Because the algorithmsrespect the geometric structure of the underlying transformation groups, they are numerically more stable, and exhibit better convergence properties than existing local coordinate-based algorithms. Experimental results demonstrate the improved convergence properties of our geometrics algorithm.…

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Title
Geometric Optimization Problems in Computer Vision & Medical Imaging : Multimodal 3D Volume Registration, Discrete & Differential Pose Estimation
Author
Seok Lee
Publisher
VDM Verlag Dr. Müller, VDM Verlag Dr. Müller E.K.
Publication year
2008
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3639032268
ISBN 13
9783639032260
Item weight
185 grams
Dimensions
220x150x7 mm

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