An Efficient Differential Box-Counting Approach to Compute Fractal Dimension of Image
@article{Sarkar1994AnED, title={An Efficient Differential Box-Counting Approach to Compute Fractal Dimension of Image}, author={Nirupam Sarkar and Bidyut Baran Chaudhuri}, journal={IEEE Trans. Syst. Man Cybern. Syst.}, year={1994}, volume={24}, pages={115-120} }
Fractal dimension is an interesting feature proposed to characterize roughness and self-similarity in a picture. This feature has been used in texture segmentation and classification, shape analysis and other problems. An efficient differential box-counting approach to estimate fractal dimension is proposed in this note. By comparison with four other methods, it has been shown that the authors, method is both efficient and accurate. Practical results on artificial and natural textured images…
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12 References
Texture description and segmentation through fractal geometry
- MathematicsComput. Vis. Graph. Image Process.
- 1989
Random Fractals: characterization and measurement
- Physics
- 1991
Mandelbrot’s fractal geometry provides both a description and a mathematical model for many of the seemingly complex shapes found in nature. Such shapes often possess a remarkable invariance under…
Fractal-Based Description of Natural Scenes
- Environmental ScienceIEEE Transactions on Pattern Analysis and Machine Intelligence
- 1984
The3-D fractal model provides a characterization of 3-D surfaces and their images for which the appropriateness of the model is verifiable and this characterization is stable over transformations of scale and linear transforms of intensity.
Multiple Resolution Texture Analysis and Classification
- Computer ScienceIEEE Transactions on Pattern Analysis and Machine Intelligence
- 1984
Textures are classified based on the change in their properties with changing resolution, and the relation of a texture picture to its negative, and directional properties are discussed.
Fractals: not just another pretty picture
- PhysicsIEEE Spectrum
- 1988
The reduction of imagery to a set of fractals as a way to achieve greatly improved image compression is examined and the performance and the extent of its applicability are discussed.
The use of the fractal dimension to quantify the morphology of irregular‐shaped particles
- Geology
- 1983
For several decades, sedimentologists have had difficulty in obtaining an efficient index of particle form that can be used to specify adequately irregular morphology of sedimentary particles.…
Automated image segmentation by mathematical morphology and fractal geometry
- Materials Science
- 1988
A new method for automated image segmentation is presented. It makes use of a combination of principles derived from mathematical morphology and fractal geometry.
Fractal Geometry of Nature
- Art
- 1977
This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.