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

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 respe...

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Bibliographic Details
Published in:IEEE transactions on image processing 2004-02, Vol.13 (2), p.216-227
Main Authors: Nonato, L.G., Filho, A.C., Minghim, R., Batista, J.
Format: Article
Language:English
Subjects:
Algorithms
Application software
Applied sciences
Biomedical imaging
Classification
Computational modeling
Digital
Digital images
Exact sciences and technology
Image Enhancement - methods
Image Interpretation, Computer-Assisted - methods
Image processing
Image segmentation
Imaging, Three-Dimensional - methods
Information Storage and Retrieval - methods
Information, signal and communications theory
Operators
Pattern Recognition, Automated
Reproducibility of Results
Robustness
Segmentation
Sensitivity and Specificity
Signal processing
Signal Processing, Computer-Assisted
Solid modeling
Telecommunications and information theory
Topology
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Summary: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.
ISSN:1057-7149
1941-0042
DOI:10.1109/TIP.2003.819908