Morse description and morphological encoding of continuous data

Journal Article

© 2004 Society for Industrial and Applied Mathematics. A geometric representation for images is studied in this work. This is based on two complementary geometric structures for the topographic representation of an image. The first one computes a description of the Morse structure, while the second one computes a simplified version of drainage structures. 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 then combine this geometric representation with a consistent interpolation algorithm and lossless data compression schemes to develop an efficient compression algorithm for DEMs. This coding scheme controls the L∞ 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 some compression results for standard DEM data.

Full Text

Duke Authors

Cited Authors

  • Caselles, V; Sapiro, G; Solé, A; Ballester, C

Published Date

  • January 1, 2004

Published In

Volume / Issue

  • 2 / 2

Start / End Page

  • 179 - 209

Electronic International Standard Serial Number (EISSN)

  • 1540-3467

International Standard Serial Number (ISSN)

  • 1540-3459

Digital Object Identifier (DOI)

  • 10.1137/S1540345902416557

Citation Source

  • Scopus