PMID: 15376942Sep 21, 2004Paper

Morse operators for digital planar surfaces and their application to image segmentation

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Luis Gustavo NonatoJoão Batista

Abstract

This paper introduces the concept of digital planar surfaces and corresponding Morse operators. These operators offer a novel and powerful method for construction and de-construction of such surfaces in a way that global topological control of the resulting object is always maintained. In that respect, this paper offers a complete pixel characterization tool. Image handling is a natural application for such approach. We present a novel fast algorithm for image segmentation using Morse operators for digital planar surfaces. It classifies as a region growing technique with added topological control and is extremely useful for applications that need proper object description. Results from real data are stimulating, and show that the segmentation algorithm compares very well with other methods. The topological approach also forms a base for future expansion to applications such as volume segmentation.

References

Jul 1, 1993·Computerized Medical Imaging and Graphics : the Official Journal of the Computerized Medical Imaging Society·W E Higgins, E J Ojard
Jul 1, 1993·Medical Physics·J C BezdekL P Clarke
Feb 16, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·K HarisA K Katsaggelos
Jun 1, 1986·IEEE Transactions on Pattern Analysis and Machine Intelligence·J Canny

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Citations

Aug 13, 2010·Journal of Medical Systems·Negar M HarandiRassul Amirfattahi

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