Scaling properties of image textures: A detrending fluctuation analysis approach |
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| Institution: | 1. Division de Ciencias Basicas e Ingenieria, Universidad Autonoma Metropolitana-Iztapalapa, Apartado Postal 55-534, Mexico D.F. 09340, Mexico;2. ESIME-Culhuacan. Instituto Politecnico Nacional;1. Applied Mathematics Division, Institute for Scientific and Technological Research of San Luis Potosi (IPICyT), Camino a la Presa San Jose 2055, Col. Lomas 4ta, SLP 78216 San Luis Potosi, Mexico;2. Center of Research and Technological Development in Electrochemistry, CIDETEQ, Mexico;1. Computational Intelligence Group (GIC), UPV/EHU, San Sebastián, Spain;2. Inserm, U836, Grenoble, F-38043, France;3. University Grenoble Alpes, GIN, F-38000 Grenoble, France;4. Department of Information and Computer Science, Aalto University School of Science, FI-00076, Finland;5. Department of Mechanical and Industrial Engineering and the Iowa Informatics Initiative, The University of Iowa, Iowa City, IA 52242-1527, USA;6. Arcada University of Applied Sciences, 00550 Helsinki, Finland;7. Nokia Solutions and Networks Group, Espoo, Finland;1. Department of Neurology, Washington University School of Medicine, St. Louis, MO, USA;2. Department of Mathematics, Washington University School of Medicine, St. Louis, MO, USA;3. Department of Radiology, Washington University School of Medicine, St. Louis, MO, USA;4. The Knight Alzheimer Disease Research Center, Washington University School of Medicine, St. Louis, MO, USA;1. College of Software, Institute of Complex Intelligent Network System, Henan University, Kaifeng 475004, China;2. Shanghai Key Lab of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai 200433, China |
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| Abstract: | The aim of this paper is to explore the application of detrended fluctuation analysis (DFA) to study roughness features of images. Unidimensional sequences at different image orientations are extracted and their average scaling exponent is estimated. In this form, the existence of anisotropies can be detected when considerable variations in the scaling exponent at different image orientation are observed. Different images from grass to solar granulation are analyzed and the underlying physics of such results is briefly commented. |
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