Truncation of Spherical Convolution Integrals with an Isotropic Kernel
A truncated convolution integral often has to be used as an approximation of a complete convolution over the sphere in many Earth science or related studies, such as geodesy, geophysics and meteorology. The truncated integration is necessary because detailed input data are not usually available over...
| Main Authors: | , , |
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| Format: | Journal Article |
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Springer New York LLC
2003
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| Online Access: | http://hdl.handle.net/20.500.11937/13449 |
| _version_ | 1848748350338236416 |
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| author | Vanicek, P. Janak, J. Featherstone, Will |
| author_facet | Vanicek, P. Janak, J. Featherstone, Will |
| author_sort | Vanicek, P. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A truncated convolution integral often has to be used as an approximation of a complete convolution over the sphere in many Earth science or related studies, such as geodesy, geophysics and meteorology. The truncated integration is necessary because detailed input data are not usually available over the entire Earth. In this contribution, a symmetrical mathematical apparatus is presented with which to treat the truncation problem elegantly. Some important aspects are mentioned and one practical example is shown for regional gravimetric geoid determination of Canada. |
| first_indexed | 2025-11-14T07:03:39Z |
| format | Journal Article |
| id | curtin-20.500.11937-13449 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:03:39Z |
| publishDate | 2003 |
| publisher | Springer New York LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-134492017-09-13T15:54:45Z Truncation of Spherical Convolution Integrals with an Isotropic Kernel Vanicek, P. Janak, J. Featherstone, Will geoid determination Legendre polynomials orthogonal series expansion Laplace surface spherical harmonics A truncated convolution integral often has to be used as an approximation of a complete convolution over the sphere in many Earth science or related studies, such as geodesy, geophysics and meteorology. The truncated integration is necessary because detailed input data are not usually available over the entire Earth. In this contribution, a symmetrical mathematical apparatus is presented with which to treat the truncation problem elegantly. Some important aspects are mentioned and one practical example is shown for regional gravimetric geoid determination of Canada. 2003 Journal Article http://hdl.handle.net/20.500.11937/13449 10.1023/A:1024747114871 Springer New York LLC restricted |
| spellingShingle | geoid determination Legendre polynomials orthogonal series expansion Laplace surface spherical harmonics Vanicek, P. Janak, J. Featherstone, Will Truncation of Spherical Convolution Integrals with an Isotropic Kernel |
| title | Truncation of Spherical Convolution Integrals with an Isotropic Kernel |
| title_full | Truncation of Spherical Convolution Integrals with an Isotropic Kernel |
| title_fullStr | Truncation of Spherical Convolution Integrals with an Isotropic Kernel |
| title_full_unstemmed | Truncation of Spherical Convolution Integrals with an Isotropic Kernel |
| title_short | Truncation of Spherical Convolution Integrals with an Isotropic Kernel |
| title_sort | truncation of spherical convolution integrals with an isotropic kernel |
| topic | geoid determination Legendre polynomials orthogonal series expansion Laplace surface spherical harmonics |
| url | http://hdl.handle.net/20.500.11937/13449 |