TY - JOUR
T1 - Toward a spherical pseudo-wavelet basis for geodetic applications
AU - Schaffrin, B.
AU - Mautz, R.
AU - Shum, C.
AU - Tseng, H.
PY - 2003/9
Y1 - 2003/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0042575665&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0042575665&partnerID=8YFLogxK
U2 - 10.1111/1467-8667.t01-1-00314
DO - 10.1111/1467-8667.t01-1-00314
M3 - Article
AN - SCOPUS:0042575665
VL - 18
SP - 369
EP - 378
JO - Computer-Aided Civil and Infrastructure Engineering
JF - Computer-Aided Civil and Infrastructure Engineering
SN - 1093-9687
IS - 5
ER -