Corrections to "Two different methods of geoidal height determinations using a spherical harmonic representation of the geopotential, topographic corrections and the height anomaly-geoidal height difference"

2003 ◽  
Vol 76 (11-12) ◽  
pp. 714-714
Author(s):  
H. Nahavandchi
Keyword(s):  
Spherical Harmonic ◽  
Height Anomaly ◽  
Geoidal Height ◽  
Height Difference ◽  
Harmonic Representation

scholarly journals Constraining GRACE-derived cryosphere-attributed signal to irregularly shaped ice-covered areas

2013 ◽  
Vol 7 (6) ◽  
pp. 1901-1914 ◽  
Author(s):  
W. Colgan ◽  
S. Luthcke ◽  
W. Abdalati ◽  
M. Citterio
Keyword(s):  
Monte Carlo ◽  
Mass Loss ◽  
Mass Balance ◽  
Spherical Harmonic ◽  
Ice Sheet ◽  
Greenland Ice Sheet ◽  
Ice Caps ◽  
Ice Coverage ◽  
Ice Sheet Mass Balance ◽  
Harmonic Representation

Abstract. We use a Monte Carlo approach to invert a spherical harmonic representation of cryosphere-attributed mass change in order to infer the most likely underlying mass changes within irregularly shaped ice-covered areas at nominal 26 km resolution. By inverting a spherical harmonic representation through the incorporation of additional fractional ice coverage information, this approach seeks to eliminate signal leakage between non-ice-covered and ice-covered areas. The spherical harmonic representation suggests a Greenland mass loss of 251 ± 25 Gt a−1 over the December 2003 to December 2010 period. The inversion suggests 218 ± 20 Gt a−1 was due to the ice sheet proper, and 34 ± 5 Gt a−1 (or ~14%) was due to Greenland peripheral glaciers and ice caps (GrPGICs). This mass loss from GrPGICs exceeds that inferred from all ice masses on both Ellesmere and Devon islands combined. This partition therefore highlights that GRACE-derived "Greenland" mass loss cannot be taken as synonymous with "Greenland ice sheet" mass loss when making comparisons with estimates of ice sheet mass balance derived from techniques that sample only the ice sheet proper.

Cerebral asymmetry in temporal lobe epilepsy detected by weighted spherical harmonic representation

NeuroImage ◽  
2009 ◽  
Vol 47 ◽  
pp. S173
Author(s):  
B. Lv ◽  
H.G. He ◽  
M. Li ◽  
J.J. Lu ◽  
W.J. Li ◽  
...  
Keyword(s):  
Temporal Lobe Epilepsy ◽  
Temporal Lobe ◽  
Spherical Harmonic ◽  
Cerebral Asymmetry ◽  
Harmonic Representation

Haptic interaction of organs based on the spherical harmonic representation

2010 ◽  
Vol 37B (2) ◽  
pp. 45-55 ◽  
Author(s):  
Zhengyi Yang ◽  
Viktor Vegh ◽  
Quang M. Tieng ◽  
Louise M. Olsen-Kettle ◽  
Deming Wang
Keyword(s):  
Spherical Harmonic ◽  
Haptic Interaction ◽  
Harmonic Representation

scholarly journals Wavelet frames: an alternative to spherical harmonic representation of potential fields

2005 ◽  
Vol 163 (3) ◽  
pp. 875-899 ◽  
Author(s):  
A. Chambodut ◽  
I. Panet ◽  
M. Mandea ◽  
M. Diament ◽  
M. Holschneider ◽  
...  
Keyword(s):  
Spherical Harmonic ◽  
Potential Fields ◽  
Wavelet Frames ◽  
Harmonic Representation

scholarly journals Computing height anomalies using spherical harmonic coefficients at certain degrees and orders in long-wavelength components

2016 ◽  
Vol 19 (2) ◽  
pp. 11-18
Author(s):  
Bao-Binh Luong
Keyword(s):  
Spherical Harmonic ◽  
Geoid Undulation ◽  
Height Anomaly ◽  
Reliability Of Results ◽  
Long Wavelength ◽  
Basic Quantity ◽  
Near Future

Height anomaly / geoid undulation) is a basic quantity in geodesy. It can be directly measured from GPS and leveling or computed from gravitational models. This paper introduces program GeoH to compute height anomalies using spherical harmonic coefficients at certain degrees and orders in longwavelength components. By reasonably comparing with official values of EGM96, the reliability of results from GeoH is proved for the long-wavelength components, and then can be applied in the “remove-restore” technique for determining Vietnamese quasi-geoid in near future.

scholarly journals Efficient Compression of Far Field Matrices in Multipole Algorithms based on Spherical Harmonics and Radiating Modes

2012 ◽  
Vol 1 (2) ◽  
pp. 5
Author(s):  
A. Schroeder ◽  
H.-D. Bruens ◽  
C. Schuster
Keyword(s):  
Spherical Harmonics ◽  
Electromagnetic Scattering ◽  
Spherical Harmonic ◽  
Fast Multipole Method ◽  
Near Field ◽  
Surface Current ◽  
Far Field ◽  
Radiation Patterns ◽  
Electromagnetic Problems ◽  
Harmonic Representation

This paper proposes a compression of far field matrices in the fast multipole method and its multilevel extension for electromagnetic problems. The compression is based on a spherical harmonic representation of radiation patterns in conjunction with a radiating mode expression of the surface current. The method is applied to study near field effects and the far field of an antenna placed on a ship surface. Furthermore, the electromagnetic scattering of an electrically large plate is investigated. It is demonstrated, that the proposed technique leads to a significant memory saving, making multipole algorithms even more efficient without compromising the accuracy.

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