Medizinische Universität Graz Austria/Österreich - Forschungsportal - Medical University of Graz
Gewählte Publikation:
SHR Neuro Krebs Kardio Lipid Stoffw Microb
Ahammer, H; DeVaney, TT.
The influence of edge detection algorithms on the estimation of the fractal dimension of binary digital images.
Chaos. 2004; 14(1):183-188
Doi: 10.1063/1.1638947
Web of Science
PubMed
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FullText_MUG
- Führende Autor*innen der Med Uni Graz
- Ahammer Helmut
- Co-Autor*innen der Med Uni Graz
- DeVaney Trevor
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- Abstract:
- The boundary of a fractal object, represented in a two-dimensional space, is theoretically a line with an infinitely small width. In digital images this boundary or contour is limited to the pixel resolution of the image and the width of the line commonly depends on the edge detection algorithm used. The Minkowski dimension was evaluated by using three different edge detection algorithms (Sobel, Roberts, and Laplace operator). These three operators were investigated because they are very widely used and because their edge detection result is very distinct concerning the line width. Very common fractals (Sierpinski carpet and Koch islands) were investigated as well as the binary images from a cancer invasion assay taken with a confocal laser scanning microscope. The fractal dimension is directly proportional to the width of the contour line and the fact, that in practice very often the investigated objects are fractals only within a limited resolution range is considered too. Copyright 2004 American Institute of Physics.
- Find related publications in this database (using NLM MeSH Indexing)
- Algorithms -
- Fractals -
- Image Enhancement - methods
- Image Interpretation, Computer-Assisted - methods
- Neoplasms - classification
- Neoplasms - pathology
- Nonlinear Dynamics -
- Pattern Recognition, Automated -
- Reproducibility of Results -
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