Title: | A Global Optimization Algorithm for Rotation Alignment of Spherical Surfaces |
Authors: | Pan, Rongjiang Skala, Václav Müller, Rolf |
Citation: | 3D Research. 2013, vol. 4, no. 3, p. 1-7. |
Issue Date: | 2013 |
Publisher: | Springer |
Document type: | preprint preprint |
URI: | http://dx.doi.org/10.1007/3DRes.03(2013)3 http://hdl.handle.net/11025/11734 |
ISSN: | 2092-6731 |
Keywords: | počítačová grafika;globální optimalizace;3D objekty;počítačové zpracování obrazu |
Keywords in different language: | computer graphics;global optimization;3D objects;computer image processing |
Abstract: | We propose a new approach to global optimization algorithm based on controlled random search techniques for rotational alignment of spherical surfaces with associated scalar values. To reduce the distortion in correspondence and increase efficiency, the spherical surface is first re-sampled using a geodesic sphere. The rotation in space is represented using the modified Rodrigues parameters. Correspondence between two spherical surfaces is implemented in the parametric domain. We applied the methods to the alignment of beam patterns computed from the outer ear shapes of bats. The proposed method is compared with other approaches such as alignment based on principal component analysis (PCA), exhaustive search in the discrete space of rotations defined by Euler angles and direct search using uniform samples over the rotation group SO(3). Experimental results demonstrate that the proposed rotation alignment obtained using the proposed algorithm has a high degree of precision and give the best result among the other four approaches. |
Rights: | The final publication is available at Springer via http://dx.doi.org/10.1007/3DRes.03(2013)3 |
Appears in Collections: | Preprinty / Preprints (KIV) |
Files in This Item:
File | Description | Size | Format | |
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2013_Spherical-3D-Research.pdf | Plný text | 1,53 MB | Adobe PDF | View/Open |
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11025/11734
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