| Attributes | Values |
|---|
| rdf:type
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| Description
| - An exclusively provided extensive dataset of gravity points on the territory of the Czech Republic and the recently released detailed digital terrain model represent, together with rapidly increasing demands for precise GNSS leveling, an important driving impulse for redevelopment of the transformation between the ETRS and the present vertical reference system Bpv (Baltic after adjustment) based on Molodensky's normal heights. From a mathematical point of view the solution of a geodetic boundary value problem has a key role in this field. The problem is formulated for gravity disturbances and the representation formula for the solution was derived by means of the Green function method. In order to refine the mathematical structure of the solution, an analogue to the so-called Hotine function was constructed for an oblate ellipsoid of revolution and subsequently used as a convolution kernel. The use of the kernel function made it possible to focus with more emphasis on the surface data available in the Czech Republic region and their influence on the entire solution of the problem. Terrain and oblique derivative effects are taken into account through successive approximation. In addition, restoring the global low-frequency part of T and inserting non-gravitational systematical effects associated with Bpv, which have been identified too, make it possible to interpret the results in terms of height anomalies or quasigeoid heights within the Bpv system. The resolution, accuracy and precision of the transformation between ETRS and Bpv is discussed and compared with quasigeoid models available today. The aim is that the result achieved could be applied as a first estimate of a new approved quasigeoid model related to the Bvp system in the Czech Republic. In terms of a future perspective the intention is to treat the problem by means of direct methods that represent a modern tool in solving problem of mathematical physics in many branches of science and technique. (en)
- An exclusively provided extensive dataset of gravity points on the territory of the Czech Republic and the recently released detailed digital terrain model represent, together with rapidly increasing demands for precise GNSS leveling, an important driving impulse for redevelopment of the transformation between the ETRS and the present vertical reference system Bpv (Baltic after adjustment) based on Molodensky's normal heights. From a mathematical point of view the solution of a geodetic boundary value problem has a key role in this field. The problem is formulated for gravity disturbances and the representation formula for the solution was derived by means of the Green function method. In order to refine the mathematical structure of the solution, an analogue to the so-called Hotine function was constructed for an oblate ellipsoid of revolution and subsequently used as a convolution kernel. The use of the kernel function made it possible to focus with more emphasis on the surface data available in the Czech Republic region and their influence on the entire solution of the problem. Terrain and oblique derivative effects are taken into account through successive approximation. In addition, restoring the global low-frequency part of T and inserting non-gravitational systematical effects associated with Bpv, which have been identified too, make it possible to interpret the results in terms of height anomalies or quasigeoid heights within the Bpv system. The resolution, accuracy and precision of the transformation between ETRS and Bpv is discussed and compared with quasigeoid models available today. The aim is that the result achieved could be applied as a first estimate of a new approved quasigeoid model related to the Bvp system in the Czech Republic. In terms of a future perspective the intention is to treat the problem by means of direct methods that represent a modern tool in solving problem of mathematical physics in many branches of science and technique.
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| Title
| - Refined gravimetric quasigeoid for the Czech Republic
- Refined gravimetric quasigeoid for the Czech Republic (en)
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| skos:prefLabel
| - Refined gravimetric quasigeoid for the Czech Republic
- Refined gravimetric quasigeoid for the Czech Republic (en)
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| skos:notation
| - RIV/00025615:_____/12:#0001839!RIV13-MSM-00025615
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| http://linked.open...avai/predkladatel
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| http://linked.open...avai/riv/aktivita
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| http://linked.open...avai/riv/aktivity
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| http://linked.open...vai/riv/dodaniDat
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| http://linked.open...aciTvurceVysledku
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| http://linked.open.../riv/druhVysledku
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| http://linked.open...iv/duvernostUdaju
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| http://linked.open...titaPredkladatele
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| http://linked.open...dnocenehoVysledku
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| http://linked.open...ai/riv/idVysledku
| - RIV/00025615:_____/12:#0001839
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| http://linked.open...riv/jazykVysledku
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| http://linked.open.../riv/klicovaSlova
| - gravimetric quasigeoid; geodetic boundary value problems; Green's function method; ellipsoidal solution domain; analytical continuation; Czech Republic locality (en)
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| http://linked.open.../riv/klicoveSlovo
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| http://linked.open...i/riv/kodPristupu
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| http://linked.open...ontrolniKodProRIV
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| http://linked.open...i/riv/mistoVydani
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| http://linked.open...telVyzkumneZpravy
| - International Association of Geodesy
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| http://linked.open...in/vavai/riv/obor
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| http://linked.open...ichTvurcuVysledku
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| http://linked.open...cetTvurcuVysledku
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| http://linked.open...UplatneniVysledku
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| http://linked.open...iv/tvurceVysledku
| - Holota, Petr
- Nesvadba, Otakar
- Lederer, Martin
|
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