The geometry of fractal sets
Generalized stochastic subdivision
ACM Transactions on Graphics (TOG)
The Science of Fractal Images
Texture description and segmentation through fractal geometry
Computer Vision, Graphics, and Image Processing
Computer Vision, Graphics, and Image Processing
Texture Boundary Detection Based on the Long Correlation Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fractal signal modeling: theory, algorithms and applications
Fractal signal modeling: theory, algorithms and applications
Synthesis of Color Textures for Multimedia Applications
Multimedia Tools and Applications
Transductive inference using multiple experts for brushwork annotation in paintings domain
MULTIMEDIA '06 Proceedings of the 14th annual ACM international conference on Multimedia
MULTIMEDIA '06 Proceedings of the 14th annual ACM international conference on Multimedia
Proceedings of the 15th international conference on Multimedia
Viewpoint Invariant Texture Description Using Fractal Analysis
International Journal of Computer Vision
Highlight on a Feature Extracted at Fine Scales: The Pointwise Lipschitz Regularity
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Study of a Robust Feature: The Pointwise Lipschitz Regularity
International Journal of Computer Vision
Characterization of second-order isotropic fractional brownian fields
IEEE Transactions on Signal Processing
Two-channel nonseparable wavelets statistically matched to 2-D images
Signal Processing
Ontology-based annotation of paintings using transductive inference framework
MMM'07 Proceedings of the 13th international conference on Multimedia Modeling - Volume Part I
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The 2D fractional Brownian motion (fBm) model provides a useful tool to model textured surfaces whose roughness is scale-invariant. To represent textures whose roughness is scale-dependent, we generalize the fBm model to the extended self-similar (ESS) model in this research. We present an estimation algorithm to extract the model parameters from real texture data. Furthermore, a new incremental Fourier synthesis algorithm is proposed to generate the 2D realizations of the ESS model. Finally, the estimation and rendering methods are combined to synthesize real textured surfaces.