# On Scale Space Critical Curves And Catastrophe Points

@inproceedings{March2001OnSS, title={On Scale Space Critical Curves And Catastrophe Points}, author={Arjan Kuijper March}, year={2001} }

- Published 2001

Investigating the deep structure of Gaussian scale space images, one needs to understand the behaviour of 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 critical points. This knowledge can be exploited in the use of the scale space hierarchy tree and the scale space pre-segmentation, e.g.to maintain symmetric structures in the image. We… CONTINUE READING

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## Structural stability and morphogenesis

View 4 Excerpts

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## Local Morse Theory for Gaussian Blurred Functions

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## Local Morse theory for solutions to the heat equation and Gaussian blurring

View 4 Excerpts

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## The structure of images

View 4 Excerpts

Highly Influenced

## M

View 2 Excerpts

## The Topological Structure of Scale-Space Images

View 1 Excerpt

## Calculations on Critical Points under Gaussian Blurring

View 1 Excerpt