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 language | English |
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Pages (from-to) | 369-378 |
Number of pages | 10 |
Journal | Computer-Aided Civil and Infrastructure Engineering |
Volume | 18 |
Issue number | 5 |
DOIs | |
Publication status | Published - 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