24 September 2001 Texture analysis and classification through extended fractional Brownian motion
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Proceedings Volume 4554, Object Detection, Classification, and Tracking Technologies; (2001); doi: 10.1117/12.441650
Event: Multispectral Image Processing and Pattern Recognition, 2001, Wuhan, China
Fractional Brownian motion (FBM) plays an important role in the study of fractal characteristics of images. However, because FBM is an isotropic model, it cannot reflect the directional information of fractals. There is also scale range limit of the fractal dimension due to limitations in the FBM model. In this paper, an extended FBM is proposed to involve directional fractal information. Furthermore, an interception-and-linearity (IAL) method is presented to determine the cutoff scales of the fractal dimension automatically instead of choosing them through human observation. Textures with directionality are analyzed properly through the extended FBM method compared with the original one. For the purpose of classification, the fractal dimensions concerning directional information are obtained through the proposed method of scale range determination. Results have shown correct and subtle classification of textures.
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Jinyan Hu, Taiyi Zhang, "Texture analysis and classification through extended fractional Brownian motion", Proc. SPIE 4554, Object Detection, Classification, and Tracking Technologies, (24 September 2001); doi: 10.1117/12.441650; https://doi.org/10.1117/12.441650

Fractal analysis

Image classification

Motion analysis

Motion models

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