Higuchi Dimension of Digital Images
Author Information
Author(s): Helmut Ahammer
Primary Institution: Medical University of Graz, Graz, Austria
Hypothesis
Can a new method using Higuchi's algorithm effectively calculate the fractal dimension of digital images while overcoming limitations of existing methods?
Conclusion
The proposed method allows for both direction-dependent and direction-independent analysis of fractal dimensions in digital images.
Supporting Evidence
- The proposed method can analyze regions of interest independently from the entire image.
- Higuchi's algorithm provides reliable values for fractal dimensions.
- The study compares the new method to traditional Fourier dimension calculations.
Takeaway
This study shows a new way to measure how complex shapes in pictures are, making it easier to focus on specific parts of the image without getting confused by the background.
Methodology
The study used 1D signal analysis methods to transform 2D images into 1D signals for calculating fractal dimensions using Higuchi's algorithm.
Limitations
The method may not be applicable to all types of images, especially those requiring high resolution or complex background handling.
Digital Object Identifier (DOI)
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