The Minimum Barrier Distance: A Summary of Recent Advances
2017 (English)In: Discrete Geometry for Computer Imagery. DGCI 2017, Springer, 2017, Vol. 10502, p. 57-68Conference paper, Published paper (Refereed)
Abstract [en]
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.
Place, publisher, year, edition, pages
Springer, 2017. Vol. 10502, p. 57-68
Series
Lecture Notes in Computer Science, ISSN 0302-9743, E-ISSN 1611-3349 ; 10502
National Category
Computer Sciences Discrete Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-333683DOI: 10.1007/978-3-319-66272-5_6ISI: 000449843100006ISBN: 978-3-319-66272-5 (electronic)ISBN: 978-3-319-66271-8 (print)OAI: oai:DiVA.org:uu-333683DiVA, id: diva2:1157421
Conference
20th IAPR International Conference on Discrete Geometry for Computer Imagery, Vienna, Austria, September 19-21, 2017
2017-11-162017-11-162019-02-28Bibliographically approved