IMPROVED ESTIMATION OF FIBER LENGTH FROM 3-DIMENSIONAL IMAGES

Author:

Ohser Joachim,Sandau Konrad,Kampf Jürgen,Vecchio Irene,Moghiseh Ali

Abstract

A new method is presented for estimating the specific fiber length from 3D images of macroscopically homogeneous fiber systems. The method is based on a discrete version of the Crofton formula, where local knowledge from 3x3x3-pixel configurations of the image data is exploited. It is shown that the relative error resulting from the discretization of the outer integral of the Crofton formula amonts at most 1.2%. An algorithmic implementation of the method is simple and the runtime as well as the amount of memory space are low. The estimation is significantly improved by considering 3x3x3-pixel configurations instead of 2x2x2, as already studied in literature.

Publisher

Slovenian Society for Stereology and Quantitative Image Analysis

Subject

Computer Vision and Pattern Recognition,Acoustics and Ultrasonics,Radiology Nuclear Medicine and imaging,Instrumentation,Materials Science (miscellaneous),General Mathematics,Signal Processing,Biotechnology

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2. References;The Image Processing Handbook, Seventh Edition;2015-09-10

3. A LIMITATION OF THE ESTIMATION OF INTRINSIC VOLUMES VIA PIXEL CONFIGURATION COUNTS;Mathematika;2014-03-28

4. Estimation of Intrinsic Volumes from Digital Grey-Scale Images;Journal of Mathematical Imaging and Vision;2013-10-17

5. On Multigrid Convergence of Local Algorithms for Intrinsic Volumes;Journal of Mathematical Imaging and Vision;2013-07-03

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