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Description
  • Tato práce zkoumá možnosti regularizace špatně podmíněných rovnic spline funkcí používaných v odhadu realistického Laplasiánu. Je prozkoumáno použití Tichonovovy regularizace, zkráceného singulárního rozkladu, a tzv. lambda-korekce s regularizačními parametrem odhadnutým pomocí L-křivky, zobecněné krosvalidace, kvazi-optimality a diskrepančního principu. Rozsah prozkoumaných regularizačních technik je výrazně širší než v předchozích pracích. Zlepšení vlastností realistického Laplasiánu je ověřeno pomocí simulací na třívrstvém sférickém modelu hlavy. Závěrem je, že nejlepší výsledky jsou získány při použití kombinace Tichonovovi regularizace a kriteria zobecnené krosvalicace. Tato kombinace zatím k regularizaci realistického Laplasiánu nebyla použita. (cs)
  • This paper explores regularization options for the ill-posed spline coefficient equations in the realistic Laplacian computation. We investigate the use of the Tikhonov regularization, truncated singular value decomposition, and the so-called lambda-correction with the regularization parameter chosen by the L-curve, generalized cross-validation, quasi-optimality, and the discrepancy principle criteria. The provided range of regularization techniques is much wider than in the previous works. The improvement of the realistic Laplacian is investigated by simulations on the three-shell spherical head model. The conclusion is that the best performance is provided by the combination of the Tikhonov regularization and the generalized cross-validation criterion-a combination that has never been suggested for this task before.
  • This paper explores regularization options for the ill-posed spline coefficient equations in the realistic Laplacian computation. We investigate the use of the Tikhonov regularization, truncated singular value decomposition, and the so-called lambda-correction with the regularization parameter chosen by the L-curve, generalized cross-validation, quasi-optimality, and the discrepancy principle criteria. The provided range of regularization techniques is much wider than in the previous works. The improvement of the realistic Laplacian is investigated by simulations on the three-shell spherical head model. The conclusion is that the best performance is provided by the combination of the Tikhonov regularization and the generalized cross-validation criterion-a combination that has never been suggested for this task before. (en)
Title
  • Regularization Techniques in Realistic Laplacian Computation
  • Regularization Techniques in Realistic Laplacian Computation (en)
  • Techniky regularizace pro výpočet realistického Laplasiánu (cs)
skos:prefLabel
  • Regularization Techniques in Realistic Laplacian Computation
  • Regularization Techniques in Realistic Laplacian Computation (en)
  • Techniky regularizace pro výpočet realistického Laplasiánu (cs)
skos:notation
  • RIV/68407700:21230/07:03136204!RIV08-GA0-21230___
http://linked.open.../vavai/riv/strany
  • 1993;1999
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GD102/03/H085), Z(MSM6840770012)
http://linked.open...iv/cisloPeriodika
  • 11
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 447067
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/07:03136204
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Regularization; surface Laplacian (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [427B340A88F2]
http://linked.open...i/riv/nazevZdroje
  • IEEE Transactions on Biomedical Engineering
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 54
http://linked.open...iv/tvurceVysledku
  • Bortel, Radoslav
  • Sovka, Pavel
http://linked.open...n/vavai/riv/zamer
issn
  • 0018-9294
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
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