NDLI: On Computing Greyscale Morphology with Large Exact Spheres in Arbitrary Dimensions via 1-D Distance Transforms

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On Computing Greyscale Morphology with Large Exact Spheres in Arbitrary Dimensions via 1-D Distance Transforms

Content Provider	IEEE Xplore Digital Library
Author	Beare, R. Jackway, P.
Copyright Year	2012
Abstract	We present a novel constant time algorithm for greyscale (hyper- )spherical flat dilations and erosions. This algorithm is built around our modifications to a recently published fast distance transform for sampled functions. Our method embeds the greyscale image as a binary ``umbra'' in a higher dimensional space and thresholds the distance transform in this new space. The method is: exactly isotropic, time-independent of the structuring function size, and inherently parallelizable at several levels of granularity. Subsequent different size dilations (or erosions) of the same image may also be performed at insignificant further cost. Our testing on a 3D medical image indicates that the method shows advantages for structuring elements with radius greater-than 15 voxels, when compared to some methods from well-known contemporary packages.
Starting Page	1
Ending Page	7
File Size	171160
Page Count	7
File Format	PDF
ISBN	9781467321808
e-ISBN	9781467321815
e-ISBN	9781467321792
DOI	10.1109/DICTA.2012.6411708
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-12-03
Publisher Place	Australia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Histograms Pediatrics Instruction sets Morphology Transforms Euclidean distance Parallel processing
Content Type	Text
Resource Type	Article

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