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An estimator of edge length and surface area in digitized 2D and 3D images

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2 Author(s)
Verbeek, P.W. ; Fac. of Appl. Phys., Delft Univ. of Technol., Netherlands ; Van Vliet, L.J.

Existing estimators for edge length in 2D and surface area in 3D are applied to a binary representation of the object. The authors estimate length and area through volume measurements. Volume is measured without thresholding and does not introduce a sampling error. Edges are transformed into volumes by giving them a constant height after which they can be shifted perpendicular to the edge over a small distance. Subtraction of two images shifted in opposite direction produces a volume that is proportional to the edge length. To guarantee a constant edge height along the edge or across the surface to be measured the authors apply a `soft' clipping operation to the linear region of the edge. For accurate and isotropic displacement of edges the authors introduce a continuous space equivalent to the discrete local minimum and maximum filters. These filters are sampling invariant and allow shifts in the subpixel region

Published in:

Pattern Recognition, 1992. Vol.III. Conference C: Image, Speech and Signal Analysis, Proceedings., 11th IAPR International Conference on

Date of Conference:

30 Aug-3 Sep 1992