Fractal analysis and stereological evaluation of microstructures
- 1 February 1983
- journal article
- Published by Wiley in Journal of Microscopy
- Vol. 129 (2) , 185-200
- https://doi.org/10.1111/j.1365-2818.1983.tb04173.x
Abstract
SUMMARY: Fractal properties and the concept of fractal dimension has been studied. Emphasis is given to the applicability in structure analysis. Comparison between different measurement procedures, analyses of mathematically defined lines and surfaces as well as measurements on real surfaces have been performed. The stereological consequences have been considered.A restrictive use of the fractal analysis results as an indicator of size, shape and self‐similarity is recommended. If results obtained by quantitative microscopy at different magnification‐resolution levels are to be compared, fractal analysis may be of advantage. The actual choice of resolution should yet be determined from the physical relevance of the geometrical details.Keywords
This publication has 9 references indexed in Scilit:
- Design of the mammalian respiratory system. V. Scaling morphometric pulmonary diffusing capacity to body mass: Wild and domestic mammalsPublished by Elsevier ,2003
- Design of the mammalian respiratory system. IX. Functional and structural limits for oxygen flowRespiration Physiology, 1981
- Resolution effect on the stereological estimation of surface and volume and its interpretation in terms of fractal dimensionsJournal of Microscopy, 1981
- The implementation of the concept of fractal dimension on a semi-automatic image analyserPowder Technology, 1980
- Effects of Microscopic Resolution on Histomorphometrical Estimates of Structural and Remodeling Parameters in Cancellous BonePathology - Research and Practice, 1980
- The use of dilation logic on the quantimet to achieve fractal dimension characterisation of textured and structured profilesPowder Technology, 1978
- Specification of the ruggedness and/or texture of a fine particle profile by its fractal dimensionPowder Technology, 1978
- Dynamic shape factors of particlesPowder Technology, 1971
- Length, shape and areaColloquium Mathematicum, 1954