Toward a spherical pseudo-wavelet basis for geodetic applications

B. Schaffrin, R. Mautz, C. Shum, H. Tseng

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In this contribution an investigation is made to exploit the advantages of 2D planar wavelets for the representation of scalar-valued signals on the sphere, with particular emphasis on the local or regional patches as they may originate from the so-called "Igloo" decomposition of the spherical surface. After introducing isometric coordinates on the sphere and applying a suitable map projection (such as "Mercator" along the equator, for instance) a family of basis functions which we called "pseudo-wavelets " can be constructed on the sphere that may be well suited to capture regional phenomena such as the fine structure of the terrestrial gravity field, and its representations toward multi-resolution flexibility. Such wavelet functions, if successful, are critically needed for a number of research topics and applications.

Original languageEnglish
Pages (from-to)369-378
Number of pages10
JournalComputer-Aided Civil and Infrastructure Engineering
Volume18
Issue number5
DOIs
Publication statusPublished - 2003 Sep

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Computational Theory and Mathematics

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