Abstract
The Multiscale Medial Axis is a means for detecting and representing object shape at multiple scales simultaneously. One of its key characteristics is that the scale used to measure object properties (and hence to represent the object) is proportional to the local size of the object. This allows it to separate fine-scale detail from larger-scale gross shape properties of the object in a manner dictated by the object itself. It works directly from image intensities and does not require a prior segmentation of the image or explicit determination of object boundaries. Fuzzy (non-binary) boundary measures are used to compute fuzzy medial measures, and axis points are identified as ridges in this fuzzy medial space. This paper presents some of the basic concepts of the Multiscale Medial Axis, describes its computation, and demonstrates some preliminary results of its application to medical images from a variety of imaging modalities.
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References
H. Blum and R. N. Nagel. Shape description using weighted symmetric axis features. Pattern Recognition, 10:167–180, 1978.
Christina A. Burbeck. Position and spatial frequency in large-scale localization judgements. Vision Research, 27(3):417–429, 1987.
J. L. Crowley and A. C. Parker. A representation of shape based on peaks and ridges in the difference of low-pass transform. PAMI, 6(2):156–170, March 1984.
Daniel S. Fritsch. Image registration by MMA. In Proceedings Visualization in Biomedical Computing (VBC'92), 1992.
Daniel S. Fritsch, James M. Coggins, and Stephen M. Pizer. A multiscale medial description of greyscale image structure. In Advances in Intelligent Robotic Systems, Intelligent Robots and Computer Vision X: Algorithms and Techniques. SPIE, 1991.
Guido Gerig. Linking image-space and accumulator-space: a new approach for object recognition. In Proceedings First International Conference on Computer Vision (ICCV'87), pages 112–122, 1987.
Robert M. Haralick. Ridges and valleys in digital images. Computer Vision, Graphics, and Image Processing, 22:28–38, 1983.
P.V.C. Hough. Method and means of recognizing complex patterns. U.S. Patent 3,69,654, 1962.
Jan J. Koenderink. Solid Shape. MIT Press, Cambridge, MA, 1990.
D. M. Levi and G. Westheimer. Spatial-interval discrimination in the human fovea: What delimits the interval? JOSA-A, 4(7):1304–1313, July 1987.
David Marr and H. K. Nishihara. Representation and recognition of the spatial organization of three-dimensional shapes. Proceedings of the Royal Society of London, Series B, 200:269–294, 1978.
Bryan S. Morse. Modification of boundary influence on medialness by credit attribution. Technical Report TR92-024, Department of Computer Science, UNC-CH, 1992.
Bryan S. Morse, Stephen M. Pizer, and Christina A. Burbeck. A Hough-like medial axis response function. Technical Report TR91-044, Department of Computer Science, UNC-CH, 1991.
Stephen M. Pizer, Christina A. Burbeck, James M. Coggins, Daniel S. Fritsch, and Bryan S. Morse. Object shape before boundary shape: scale-space medial axes. Technical Report TR92-023, Department of Computer Science, University of North Carolina at Chapel Hill, 1992. Presented at the NATO Shape in Picture Workshop, September 1992.
Stephen M. Pizer, Christina A. Burbeck, and Bryan S. Morse. Object-driven visual perception: a model. Technical Report TR92-025, Department of Computer Science, University of North Carolina at Chapel Hill, 1992. In preparation.
Stephen M. Pizer, James M. Coggins, Christina A. Burbeck, Bryan S. Morse, and Daniel Fritsch. Image object description without explicit edge-finding. Technical Report TR91-049, Department of Computer Science, University of North Carolina at Chapel Hill, 1991.
J. P. C. Southall, editor. Helmholtz's Treatise on Physiological Optics, volume III. Dover, New York, 1962.
Bart M. ter Haar Romeny and Luc Florack. A multiscale geometric model of human vision. In B. Hendee and P. N. T. Wells, editors, Perception of Visual Information. Springer Verlag, Berlin, 1991.
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© 1993 Springer-Verlag Berlin Heidelberg
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Morse, B.S., Pizer, S.M., Liu, A. (1993). Multiscale Medial analysis of medical images. 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/BFb0013784
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DOI: https://doi.org/10.1007/BFb0013784
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