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Biennial International Conference on Information Processing in Medical Imaging

IPMI 1993: Information Processing in Medical Imaging pp 149–167Cite as

Characterizing first and second-order patches using geometry-limited diffusion

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 687))

Abstract

I propose a diffusion process that operates on the jet-space of an image. This process uses variable conductance diffusion as an alternative to Gaussian scale in order to smooth differential measurements in a manner that preserves structures of interest. The process is presented within a general framework that suggests a wide range of possibilities for segmenting images on the basis of homogeneity of local shape. Previous work has shown how first-order geometry is used to locate ridges and valleys in greyscale objects. In this paper I use apply these principles to first and second-order geometry in order to find boundaries and skeletons of objects. Examples of first and second-order segmentations of medical images are given. This method appears to offer a reliable and accurate means of segmenting images and is shown to preserve the orthogonal group properties of properly constructed geometric invariants.

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Authors and Affiliations

  1. Department of Computer Science, University of North Carolina at Chapel Hill, 27599-3175, Chapel Hill, North Carolina

    Ross T. Whitaker

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  1. Ross T. Whitaker
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Editor information

Harrison H. Barrett A. F. Gmitro

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© 1993 Springer-Verlag Berlin Heidelberg

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Whitaker, R.T. (1993). Characterizing first and second-order patches using geometry-limited diffusion. In: Barrett, H.H., Gmitro, A.F. (eds) Information Processing in Medical Imaging. IPMI 1993. Lecture Notes in Computer Science, vol 687. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0013786

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  • DOI: https://doi.org/10.1007/BFb0013786

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56800-1

  • Online ISBN: 978-3-540-47742-6

  • eBook Packages: Springer Book Archive

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