The Minimum Barrier Distance - Stability to seed point position

Robin Strand; Filip Malmberg; Punam Saha; Elisabeth Linnér

doi:10.1007/978-3-319-09955-2_10

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The Minimum Barrier Distance - Stability to seed point position

Conference proceeding

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Peer reviewed

The Minimum Barrier Distance - Stability to seed point position

Robin Strand, Filip Malmberg, Punam Saha and Elisabeth Linnér

Discrete Geometry for Computer Imagery, DGCI 2014, Vol.8668, pp.111-121

Lecture Notes in Computer Science

2014

DOI: 10.1007/978-3-319-09955-2_10

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Abstract

Distance and path-cost functions have been used for image segmentation at various forms, e.g., region growing or live-wire boundary tracing using interactive user input. Different approaches are associated with different fundamental advantages as well as difficulties. In this paper, we investigate the stability of segmentation with respect to perturbations in seed point position for a recently introduced pseudo-distance method referred to as the minimum barrier distance. Conditions are sought for which segmentation results are invariant with respect to the position of seed points and a proof of their correctness is presented. A notion of δ -interface is introduced defining the object-background interface at various gradations and its relation to stability of segmentation is examined. Finally, experimental results are presented examining different aspects of stability of segmentation results to seed point position.

Computerized Image Processing

Datoriserad bildbehandling

Discrete Mathematics

Diskret matematik

Matematik

Mathematics

Natural Sciences

Naturvetenskap

Details

Title: Subtitle: The Minimum Barrier Distance - Stability to seed point position
Creators: Robin Strand - Uppsala University
Filip Malmberg - Uppsala University
Punam Saha - University of Iowa
Elisabeth Linnér - Uppsala University
Resource Type: Conference proceeding
Publication Details: Discrete Geometry for Computer Imagery, DGCI 2014, Vol.8668, pp.111-121
Series: Lecture Notes in Computer Science
DOI: 10.1007/978-3-319-09955-2_10
ISSN: 0302-9743
eISSN: 1611-3349
Language: English
Date published: 2014
Academic Unit: Radiology; Electrical and Computer Engineering
Record Identifier: 9984197291702771

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