Morse description and geometric encoding of digital elevation maps.

Andrés Solé; Vicent Caselles; Guillermo Sapiro; Francisco Arándiga

doi:10.1109/tip.2004.832864

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Morse description and geometric encoding of digital elevation maps.

Andrés Solé·Vicent Caselles·Guillermo Sapiro·Francisco Arándiga

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Abstract

Two complementary geometric structures for the topographic representation of an image are developed in this work. The first one computes a description of the Morse-topological structure of the image, while the second one computes a simplified version of its drainage structure. The topographic significance of the Morse and drainage structures of digital elevation maps (DEMs) suggests that they can been used as the basis of an efficient encoding scheme. As an application, we combine this geometric representation with an interpolation algorithm and lossless data compression schemes to develop a compression scheme for DEMs. This algorithm achieves high compression while controlling the maximum error in the decoded elevation map, a property that is necessary for the majority of applications dealing with DEMs. We present the underlying theory and compression results for standard DEM data.

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Algorithms Computer Simulation Data Compression Image Enhancement Image Interpretation, Computer-Assisted Imaging, Three-Dimensional Numerical Analysis, Computer-Assisted Pattern Recognition, Automated Reproducibility of Results Sensitivity and Specificity Signal Processing, Computer-Assisted Comparative Study Evaluation Study Journal Article Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.Validation Study

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Andrés Solé, Vicent Caselles, Guillermo Sapiro, Francisco Arándiga. 2004. Morse description and geometric encoding of digital elevation maps.. https://doi.org/10.1109/tip.2004.832864

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