Path-Based Mathematical Morphology on Tensor Fields

Jasper J. van de Gronde, Mikola Lysenko, Johannes Roerdink*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

4 Citations (Scopus)
120 Downloads (Pure)

Abstract

Traditional path-based morphology allows finding long, approximately straight, paths in images. Although originally applied only to scalar
images, we show how this can be a very good fit for tensor fields. We do this
by constructing directed graphs representing such data, and then modifying
the traditional path opening algorithm to work on these graphs. Cycles are
dealt with by finding strongly connected components in the graph. Some examples of potential applications are given, including path openings that are
not limited to a specific set of orientations.
Original languageEnglish
Title of host publicationVisualization and Processing of Higher Order Descriptors for Multi-Valued Data
EditorsIngrid Hotz, Thomas Schultz
Place of PublicationCham
PublisherSpringer
Pages109-127
Number of pages20
ISBN (Electronic)978-3-319-15090-1
ISBN (Print)978-3-319-15089-5
DOIs
Publication statusPublished - 2015

Publication series

NameMathematics and Visualization
ISSN (Print)1612-3786
ISSN (Electronic)2197-666X

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