Geometric Optimization Problems in Computer Vision & Medical Imaging
Multimodal 3D Volume Registration, Discrete & Differential Pose Estimation
(Sprache: Englisch)
We explore various optimization problems which appear 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...
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We explore various optimization problems which appear 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.
Autoren-Porträt von Seok Lee, Frank Chongwoo Park
Lee, SeokSeok Lee, PhD: Studied Robotics at Seoul National University. R&D Staff Member at Samsung Advanced Institute of Technology, Korea.Frank Chongwoo Park, PhD: Studied Applied Mathematics at Harvard University. Professor at Seoul National University, KoreaChongwoo Park, Frank
Seok Lee, PhD: Studied Robotics at Seoul National University. R&D Staff Member at Samsung Advanced Institute of Technology, Korea.Frank Chongwoo Park, PhD: Studied Applied Mathematics at Harvard University. Professor at Seoul National University, Korea
Bibliographische Angaben
- Autoren: Seok Lee , Frank Chongwoo Park
- 2008, 112 Seiten, Maße: 15 x 22 cm, Kartoniert (TB), Englisch
- Verlag: VDM Verlag Dr. Müller e.K.
- ISBN-10: 3639032268
- ISBN-13: 9783639032260
Sprache:
Englisch
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