OPTIMIZATION OF 3D LOCAL ORIENTATION MAP CALCULATION IN THE MATLAB FRAMEWORK
Ranya Al Darwich
raldarwich@kis.p.lodz.plLodz University of Technology, Institute of Applied Computer Science (Poland)
Laurent Babout
Lodz University of Technology, Institute of Applied Computer Science (Poland)
Abstract
This paper presents the development and evaluation of a new approach toward the optimization of 3D local orientation map calculation in the Matlab framework. This new approach can be detailed as: optimize eigenvector calculation for PCA analysis of X-ray micro tomography images of lamellar Titanium alloys image. We use two different methods to find the eigenvector of the largest eigenvalue and compare them with the Matlab built-in function (eigs). The results show a steep decrease of the calculation time using the authors' method compared to the Matlab built-in function.
Keywords:
local orientation, PCA analysis, eigenvalue, eigenvector, matrix of inertiaReferences
Babout L., Jopek L., Janaszewski M.: A New Directional Filter Bank for 3D Texture Segmentation: Application to Lamellar Microstructure in titanium Alloys, MVA2013 IAPR International Conference on Machine Vision Applications, May 20-23, 2013, Kyoto, JAPAN.
Google Scholar
Eriksen E.: Principal Minors and the Hessian, BI Norwegian School of Management Department of Economics, October 01, 2010.
Google Scholar
Wituła R., Słota D.: Cardano’s formula, square roots, Chebyshev polynomials and radicals, Journal of Mathematical Analysis and Applications, vol 363, Issue 2, 15 March 2010 , 639–647.
Google Scholar
Jeulin D., Moreaud M.: Segmentation of 2D and 3D textures from estimates of the local orientation, Image Anal Stereol 27, 2008, 183-192.
Google Scholar
Lanczos C.: An Iteration Method for the Solution of the Eigenvalue Problem of Linear Differential and Integral Operators, Journal of Research of the National Bureau of Standard, vol 45, No. 4, October 1950.
Google Scholar
Lehoucq R.B., Sorensen D.C.: Deflation Techniques for an Implicitly Re-Started Arnoldi Iteration, SIAMJ. Matrix Analysis and Applications, SIAM Journal on Matrix Analysis and Applications, Vol 17, Number 4, 1996, 789-821.
Google Scholar
Schell J.S.U., Renggli M., van Lenthe G.H., Mu ̈ller R., Ermanni P.: Microcomputed tomography determination of glass fibre reinforced polymer mesostructure, Composites Science and Technologie,Vol66, Issue 13 October, 2006, 2016–2022.
Google Scholar
Authors
Ranya Al Darwichraldarwich@kis.p.lodz.pl
Lodz University of Technology, Institute of Applied Computer Science Poland
Authors
Laurent BaboutLodz University of Technology, Institute of Applied Computer Science Poland
Statistics
Abstract views: 175PDF downloads: 49
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Most read articles by the same author(s)
- Laurent Babout , Krzysztof Grudzień, Marcin Janaszewski, Łukasz Jopek, STUDY OF DEGRADATION AND GRANULAR FLOW PROCESSES USING X-RAY IMAGING , Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska: Vol. 7 No. 1 (2017)
- Ranya Al Darwich, Laurent Babout, Krzysztof Strzecha, K-MEANS CLUSTERING IN TEXTURED IMAGE: EXAMPLE OF LAMELLAR MICROSTRUCTURE IN TITANIUM ALLOYS , Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska: Vol. 7 No. 3 (2017)
