Author/Editor		Eins, S
Title		An improved dilation method for the measurement of fractal dimension
Type		članek
Source		Acta Stereol
Vol. and No.		Letnik 14, št. 2
Publication year		1995
Volume		str. 169-78
Language		eng
Abstract		According to mathematical foundation of fractal dimension (D) several methods were introducted for the measurement of D, first as manual techniques, later as computer algorithms. An image analysis environment may be especially appropriate for the automatic measurement of fractal dimensions. With regard to eddiciency and accuracy dilation seems to be the most advantageous approach among the known methods (yard stick, box counting, dilation.). Unfortunately, there remains one misleading point: while analysing lineal objcts with open ends (in contrast to closed contours) the measured D-values are systemacially understimated. The degree of bias depends on the number of end points and the complexity of a given structure. A method will be presented to avoid this bias by using direction controlled vectorial structuring elements in combination with specially designed anisotropic morphological filters. Applied to a given neuro-anatomical structure (processes of astrocytes) D is corrected from 1.56 to 1.68. A further application demonstrates the impact of using projection images on measured D-values.
Descriptors		FRACTALS IMAGE PROCESSING, COMPUTER-ASSISTED ASTROCYTES