On the creations of critical points in scale space with applications to medical image analysis

A. Kuijper, L.M.J. Florack

Research output: Book/ReportReportAcademic

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Abstract

In order to investigate the deep structure of Gaussian scale space images, one needs to understand the behaviour of spatial critical points under the influence of blurring. We show how the mathematical framework of catastrophe theory can be used to describe the various different types of annihilations and creations of pairs of spatial critical points and how this knowledge can be exploited in finding and tracing these points. We clarify the theory with an artificial image and a simulated MR image.
Original languageEnglish
Place of PublicationUtrecht
PublisherUtrecht University
Publication statusPublished - 2001

Publication series

NameUU-CS
Volume2001-25

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image analysis
critical point
catastrophe theory
blurring
tracing

Cite this

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On the creations of critical points in scale space with applications to medical image analysis. / Kuijper, A.; Florack, L.M.J.

Utrecht : Utrecht University, 2001. (UU-CS; Vol. 2001-25).

Research output: Book/ReportReportAcademic

TY - BOOK

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AU - Florack, L.M.J.

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AB - In order to investigate the deep structure of Gaussian scale space images, one needs to understand the behaviour of spatial critical points under the influence of blurring. We show how the mathematical framework of catastrophe theory can be used to describe the various different types of annihilations and creations of pairs of spatial critical points and how this knowledge can be exploited in finding and tracing these points. We clarify the theory with an artificial image and a simulated MR image.

M3 - Report

T3 - UU-CS

BT - On the creations of critical points in scale space with applications to medical image analysis

PB - Utrecht University

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