FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W45204207> ?p ?o ?g. }

• W45204207 abstract "This work concerns the representation and approximation of functions on a sphere with applications to source localization inverse problems in geodesy and medical imaging. The thesis is structured in 6 chapters as follows. Chapter 1 presents an introduction to the geodesy and M/EEG inverse problems. The inverse pro- blem (IP) consists in recovering a density inside the ball (Earth, human brain) from partially known data on the surface. Chapter 2 gives the ma- thematical background used along the thesis. The resolution of the inverse problem (IP) involves the resolution of two steps : the transmission data pro- blem (TP) and the density recovery (DR) problem. In practice, the data are only available on some region of the sphere, as a spherical cap, like the north hemisphere of the head (M/EEG) or continent(geodesy). For this purpose, in Chapter 3, we give an ecient method to build the appropriate Slepian basis on which we express the data. This is set up by using Gauss-Legendre qua- drature. The transmission data problem (Chapter 4) consists in estimating the data (spherical harmonic expansion) over the whole sphere from noisy measurements expressed in Slepian basis. The second step, density recovery (DR) problem, is detailed in Chapter 5 where we study three density models (monopolar, dipolar and inclusions). For the resolution of (DR), we use a best quadratic rational approximation method on planar sections. We give also some properties of the density and the operator which links it to the generated potential. In Chapter 6, we study the Chapters 3, 4 ans 5 from numerical point of view. We present some numerical tests to illustrate source localization results for geodesy and M/EEG problems when we dispose of partial data on the sphere." @default.
• W45204207 created "2016-06-24" @default.
• W45204207 creator A5033745927 @default.
• W45204207 date "2012-02-15" @default.
• W45204207 modified "2023-09-25" @default.
• W45204207 title "Approximation and representation of functions on the sphere. Applications to inverse problems in geodesy and medical imaging." @default.
• W45204207 cites W1480904389 @default.
• W45204207 cites W1598326876 @default.
• W45204207 cites W190006759 @default.
• W45204207 cites W1965388247 @default.
• W45204207 cites W1976579441 @default.
• W45204207 cites W1978414422 @default.
• W45204207 cites W1982369087 @default.
• W45204207 cites W1984468730 @default.
• W45204207 cites W1985065624 @default.
• W45204207 cites W1985343836 @default.
• W45204207 cites W1987333243 @default.
• W45204207 cites W2004621162 @default.
• W45204207 cites W2005355618 @default.
• W45204207 cites W2005420184 @default.
• W45204207 cites W2008589555 @default.
• W45204207 cites W2013269090 @default.
• W45204207 cites W2018207223 @default.
• W45204207 cites W2032446685 @default.
• W45204207 cites W2043336996 @default.
• W45204207 cites W2051058071 @default.
• W45204207 cites W2063771731 @default.
• W45204207 cites W2067111814 @default.
• W45204207 cites W2073732659 @default.
• W45204207 cites W2078872546 @default.
• W45204207 cites W2083977998 @default.
• W45204207 cites W2087710207 @default.
• W45204207 cites W2100177310 @default.
• W45204207 cites W2104805992 @default.
• W45204207 cites W2108018366 @default.
• W45204207 cites W2132290614 @default.
• W45204207 cites W2134193623 @default.
• W45204207 cites W2137492554 @default.
• W45204207 cites W2259840188 @default.
• W45204207 cites W2324918826 @default.
• W45204207 cites W2408059992 @default.
• W45204207 cites W2501499209 @default.
• W45204207 cites W2763562065 @default.
• W45204207 cites W3038165843 @default.
• W45204207 cites W3039083618 @default.
• W45204207 cites W569593010 @default.
• W45204207 hasPublicationYear "2012" @default.
• W45204207 type Work @default.
• W45204207 sameAs 45204207 @default.
• W45204207 citedByCount "0" @default.
• W45204207 crossrefType "dissertation" @default.
• W45204207 hasAuthorship W45204207A5033745927 @default.
• W45204207 hasConcept C13280743 @default.
• W45204207 hasConcept C134306372 @default.
• W45204207 hasConcept C135252773 @default.
• W45204207 hasConcept C205649164 @default.
• W45204207 hasConcept C207467116 @default.
• W45204207 hasConcept C2524010 @default.
• W45204207 hasConcept C33923547 @default.
• W45204207 hasConcept C3768446 @default.
• W45204207 hasConceptScore W45204207C13280743 @default.
• W45204207 hasConceptScore W45204207C134306372 @default.
• W45204207 hasConceptScore W45204207C135252773 @default.
• W45204207 hasConceptScore W45204207C205649164 @default.
• W45204207 hasConceptScore W45204207C207467116 @default.
• W45204207 hasConceptScore W45204207C2524010 @default.
• W45204207 hasConceptScore W45204207C33923547 @default.
• W45204207 hasConceptScore W45204207C3768446 @default.
• W45204207 hasLocation W452042071 @default.
• W45204207 hasOpenAccess W45204207 @default.
• W45204207 hasPrimaryLocation W452042071 @default.
• W45204207 hasRelatedWork W1503546619 @default.
• W45204207 hasRelatedWork W1522496282 @default.
• W45204207 hasRelatedWork W1528283567 @default.
• W45204207 hasRelatedWork W1972044592 @default.
• W45204207 hasRelatedWork W2008113260 @default.
• W45204207 hasRelatedWork W2039780294 @default.
• W45204207 hasRelatedWork W2085888708 @default.
• W45204207 hasRelatedWork W2099443235 @default.
• W45204207 hasRelatedWork W2154420993 @default.
• W45204207 hasRelatedWork W2154951652 @default.
• W45204207 hasRelatedWork W2224727351 @default.
• W45204207 hasRelatedWork W2243987378 @default.
• W45204207 hasRelatedWork W2267661309 @default.
• W45204207 hasRelatedWork W2334363544 @default.
• W45204207 hasRelatedWork W2603442191 @default.
• W45204207 hasRelatedWork W2808551900 @default.
• W45204207 hasRelatedWork W3090358272 @default.
• W45204207 hasRelatedWork W6935324 @default.
• W45204207 hasRelatedWork W112362761 @default.
• W45204207 hasRelatedWork W369917125 @default.
• W45204207 isParatext "false" @default.
• W45204207 isRetracted "false" @default.
• W45204207 magId "45204207" @default.
• W45204207 workType "dissertation" @default.