The Minimum Barrier Distance: A Summary of Recent Advances

R Strand; K C Ciesielski; F Malmberg; P K Saha

doi:10.1007/978-3-319-66272-5_6

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Conference proceeding

The Minimum Barrier Distance: A Summary of Recent Advances

R Strand, K C Ciesielski, F Malmberg and P K Saha

DISCRETE GEOMETRY FOR COMPUTER IMAGERY, DGCI 2017, Vol.10502, pp.57-68

2017

DOI: 10.1007/978-3-319-66272-5_6

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Abstract

In this paper we present an overview and summary of recent results of the minimum barrier distance (MBD), a distance operator that is a promising tool in several image processing applications. The theory constitutes of the continuous MBD in Rn, its discrete formulation in Zn (in two different natural formulations), and of the discussion of convergence of discrete MBDs to their continuous counterpart. We describe two algorithms that compute MBD, one very fast but returning only approximate MBD, the other a bit slower, but returning the exact MBD. Finally, some image processing applications of MBD are presented and the directions of potential future research in this area are indicated.

Details

Title: Subtitle: The Minimum Barrier Distance: A Summary of Recent Advances
Creators: R Strand - Uppsala University
K C Ciesielski - West Virginia University
F Malmberg - Uppsala University
P K Saha - University of Iowa
Contributors: I Janusch (Editor)
Resource Type: Conference proceeding
Publication Details: DISCRETE GEOMETRY FOR COMPUTER IMAGERY, DGCI 2017, Vol.10502, pp.57-68
DOI: 10.1007/978-3-319-66272-5_6
Language: English
Date published: 2017
Academic Unit: Radiology; Electrical and Computer Engineering
Record Identifier: 9984237774102771

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