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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Efficient 3D erosion dilation analysis by subpixel EDT
 Burgeth, B.: Mathematical morphology and its applications to signal and image processing. 14th international symposium, ISMM 2019. Proceedings : Saarbrücken, Germany, July 810, 2019 Cham: Springer Nature, 2019 (Lecture Notes in Computer Science 11564) ISBN: 9783030208660 (Print) ISBN: 9783030208677 (Online) pp.243255 
 International Symposium on Mathematical Morphology (ISMM) <14, 2019, Saarbrücken> 

 English 
 Conference Paper 
 Fraunhofer ITWM () 
Abstract
The microstructure of materials or natural substrates contributes significantly to macroscopic properties like mechanical strength or filtration performance. The intrinsic volumes or their densities are versatile geometric characteristics of microstructures and can be estimated efficiently from 3D binary images whose foreground represents the structure of interest. A recent algorithm generalizes this approach to gray value images. That is, the intrinsic volumes are derived for each possible global gray value threshold in the image in a single pass through the image. Here, it is combined with a subpixel precise Euclidean distance transform enabling efficient socalled erosion dilation analysis. That means, the densities of the intrinsic volumes are simultaneously computed not only for the structure itself but also for all erosions and dilations by spherical structuring elements of this structure. That way, the algorithm reveals additional information on the local size of critical features of the structure or its complement. The algorithm’s power is demonstrated by means of computed tomography image data of rigid foams and stacks of scanning electron microscopies of nanoporous membrane layers sliced by a focused ion beam.