Non-linear multiscale filtering using mathematical morphology

Aldo Morales, Raj Acharya

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Mathematical Morphology is a new branch of mathematics powerful enough to study some vision problems like multiscale filtering. Due to the fact morphological openings smooth the signal while preserving the edges, and using the three Matheron's axioms, an important result is obtained: morphological openings do not introduce additional zero-crossing as one moves to a coarser scales. With these results a multiscale filtering scheme is developed. The choice of the structuring element is constrained to the sub-space of convex, compact and homothetic ones. In this paper we will report a procedure for choosing the structuring element based on the pre-filtering effects of morphological openings and the subsequent detection of edges.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
PublisherPubl by Int Soc for Optical Engineering
Pages169-181
Number of pages13
ISBN (Print)081940294X, 9780819402943
DOIs
StatePublished - 1990
EventNonlinear Image Processing - Santa Clara, CA, USA
Duration: Feb 15 1990Feb 16 1990

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume1247
ISSN (Print)0277-786X

Other

OtherNonlinear Image Processing
CitySanta Clara, CA, USA
Period2/15/902/16/90

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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