TGV for diffusion tensors: A comparison of fidelity functions
Abstract. We study the total generalised variation regularisation of symmetric tensor fields from medical applications, namely diffusion tensor regularisation. We study the effect of the pointwise positivity constraint on the tensor field, as well as the difference between direct denoising of the te...
Ausführliche Beschreibung
Autor*in: |
Valkonen, Tuomo [verfasserIn] |
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Format: |
Artikel |
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Erschienen: |
2013 |
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Anmerkung: |
© 2013 by Walter de Gruyter Berlin Boston |
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Übergeordnetes Werk: |
Enthalten in: Journal of inverse and ill-posed problems - Walter de Gruyter GmbH, 1993, 21(2013), 3 vom: 01. Juni, Seite 355-377 |
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Übergeordnetes Werk: |
volume:21 ; year:2013 ; number:3 ; day:01 ; month:06 ; pages:355-377 |
Links: |
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DOI / URN: |
10.1515/jip-2013-0005 |
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OLC2136544551 |
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10.1515/jip-2013-0005 doi (DE-627)OLC2136544551 (DE-B1597)jip-2013-0005-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 11 ssgn Valkonen, Tuomo verfasserin aut TGV for diffusion tensors: A comparison of fidelity functions 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2013 by Walter de Gruyter Berlin Boston Abstract. We study the total generalised variation regularisation of symmetric tensor fields from medical applications, namely diffusion tensor regularisation. We study the effect of the pointwise positivity constraint on the tensor field, as well as the difference between direct denoising of the tensor field first solved from the Stejskal–Tanner equation, as was done in our earlier work, and of incorporating this equation into the fidelity function. Our results indicate that the latter novel approach provides improved computational results. Bredies, Kristian aut Knoll, Florian aut Enthalten in Journal of inverse and ill-posed problems Walter de Gruyter GmbH, 1993 21(2013), 3 vom: 01. Juni, Seite 355-377 (DE-627)165676728 (DE-600)1160989-8 (DE-576)04851134X 0928-0219 nnns volume:21 year:2013 number:3 day:01 month:06 pages:355-377 https://doi.org/10.1515/jip-2013-0005 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_60 GBV_ILN_70 GBV_ILN_134 GBV_ILN_267 GBV_ILN_4277 AR 21 2013 3 01 06 355-377 |
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10.1515/jip-2013-0005 doi (DE-627)OLC2136544551 (DE-B1597)jip-2013-0005-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 11 ssgn Valkonen, Tuomo verfasserin aut TGV for diffusion tensors: A comparison of fidelity functions 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2013 by Walter de Gruyter Berlin Boston Abstract. We study the total generalised variation regularisation of symmetric tensor fields from medical applications, namely diffusion tensor regularisation. We study the effect of the pointwise positivity constraint on the tensor field, as well as the difference between direct denoising of the tensor field first solved from the Stejskal–Tanner equation, as was done in our earlier work, and of incorporating this equation into the fidelity function. Our results indicate that the latter novel approach provides improved computational results. Bredies, Kristian aut Knoll, Florian aut Enthalten in Journal of inverse and ill-posed problems Walter de Gruyter GmbH, 1993 21(2013), 3 vom: 01. Juni, Seite 355-377 (DE-627)165676728 (DE-600)1160989-8 (DE-576)04851134X 0928-0219 nnns volume:21 year:2013 number:3 day:01 month:06 pages:355-377 https://doi.org/10.1515/jip-2013-0005 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_60 GBV_ILN_70 GBV_ILN_134 GBV_ILN_267 GBV_ILN_4277 AR 21 2013 3 01 06 355-377 |
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10.1515/jip-2013-0005 doi (DE-627)OLC2136544551 (DE-B1597)jip-2013-0005-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 11 ssgn Valkonen, Tuomo verfasserin aut TGV for diffusion tensors: A comparison of fidelity functions 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2013 by Walter de Gruyter Berlin Boston Abstract. We study the total generalised variation regularisation of symmetric tensor fields from medical applications, namely diffusion tensor regularisation. We study the effect of the pointwise positivity constraint on the tensor field, as well as the difference between direct denoising of the tensor field first solved from the Stejskal–Tanner equation, as was done in our earlier work, and of incorporating this equation into the fidelity function. Our results indicate that the latter novel approach provides improved computational results. Bredies, Kristian aut Knoll, Florian aut Enthalten in Journal of inverse and ill-posed problems Walter de Gruyter GmbH, 1993 21(2013), 3 vom: 01. Juni, Seite 355-377 (DE-627)165676728 (DE-600)1160989-8 (DE-576)04851134X 0928-0219 nnns volume:21 year:2013 number:3 day:01 month:06 pages:355-377 https://doi.org/10.1515/jip-2013-0005 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_60 GBV_ILN_70 GBV_ILN_134 GBV_ILN_267 GBV_ILN_4277 AR 21 2013 3 01 06 355-377 |
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10.1515/jip-2013-0005 doi (DE-627)OLC2136544551 (DE-B1597)jip-2013-0005-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 11 ssgn Valkonen, Tuomo verfasserin aut TGV for diffusion tensors: A comparison of fidelity functions 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2013 by Walter de Gruyter Berlin Boston Abstract. We study the total generalised variation regularisation of symmetric tensor fields from medical applications, namely diffusion tensor regularisation. We study the effect of the pointwise positivity constraint on the tensor field, as well as the difference between direct denoising of the tensor field first solved from the Stejskal–Tanner equation, as was done in our earlier work, and of incorporating this equation into the fidelity function. Our results indicate that the latter novel approach provides improved computational results. Bredies, Kristian aut Knoll, Florian aut Enthalten in Journal of inverse and ill-posed problems Walter de Gruyter GmbH, 1993 21(2013), 3 vom: 01. Juni, Seite 355-377 (DE-627)165676728 (DE-600)1160989-8 (DE-576)04851134X 0928-0219 nnns volume:21 year:2013 number:3 day:01 month:06 pages:355-377 https://doi.org/10.1515/jip-2013-0005 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_60 GBV_ILN_70 GBV_ILN_134 GBV_ILN_267 GBV_ILN_4277 AR 21 2013 3 01 06 355-377 |
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10.1515/jip-2013-0005 doi (DE-627)OLC2136544551 (DE-B1597)jip-2013-0005-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 11 ssgn Valkonen, Tuomo verfasserin aut TGV for diffusion tensors: A comparison of fidelity functions 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2013 by Walter de Gruyter Berlin Boston Abstract. We study the total generalised variation regularisation of symmetric tensor fields from medical applications, namely diffusion tensor regularisation. We study the effect of the pointwise positivity constraint on the tensor field, as well as the difference between direct denoising of the tensor field first solved from the Stejskal–Tanner equation, as was done in our earlier work, and of incorporating this equation into the fidelity function. Our results indicate that the latter novel approach provides improved computational results. Bredies, Kristian aut Knoll, Florian aut Enthalten in Journal of inverse and ill-posed problems Walter de Gruyter GmbH, 1993 21(2013), 3 vom: 01. Juni, Seite 355-377 (DE-627)165676728 (DE-600)1160989-8 (DE-576)04851134X 0928-0219 nnns volume:21 year:2013 number:3 day:01 month:06 pages:355-377 https://doi.org/10.1515/jip-2013-0005 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_60 GBV_ILN_70 GBV_ILN_134 GBV_ILN_267 GBV_ILN_4277 AR 21 2013 3 01 06 355-377 |
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Abstract. We study the total generalised variation regularisation of symmetric tensor fields from medical applications, namely diffusion tensor regularisation. We study the effect of the pointwise positivity constraint on the tensor field, as well as the difference between direct denoising of the tensor field first solved from the Stejskal–Tanner equation, as was done in our earlier work, and of incorporating this equation into the fidelity function. Our results indicate that the latter novel approach provides improved computational results. © 2013 by Walter de Gruyter Berlin Boston |
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Abstract. We study the total generalised variation regularisation of symmetric tensor fields from medical applications, namely diffusion tensor regularisation. We study the effect of the pointwise positivity constraint on the tensor field, as well as the difference between direct denoising of the tensor field first solved from the Stejskal–Tanner equation, as was done in our earlier work, and of incorporating this equation into the fidelity function. Our results indicate that the latter novel approach provides improved computational results. © 2013 by Walter de Gruyter Berlin Boston |
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Abstract. We study the total generalised variation regularisation of symmetric tensor fields from medical applications, namely diffusion tensor regularisation. We study the effect of the pointwise positivity constraint on the tensor field, as well as the difference between direct denoising of the tensor field first solved from the Stejskal–Tanner equation, as was done in our earlier work, and of incorporating this equation into the fidelity function. Our results indicate that the latter novel approach provides improved computational results. © 2013 by Walter de Gruyter Berlin Boston |
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We study the total generalised variation regularisation of symmetric tensor fields from medical applications, namely diffusion tensor regularisation. We study the effect of the pointwise positivity constraint on the tensor field, as well as the difference between direct denoising of the tensor field first solved from the Stejskal–Tanner equation, as was done in our earlier work, and of incorporating this equation into the fidelity function. 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Juni, Seite 355-377</subfield><subfield code="w">(DE-627)165676728</subfield><subfield code="w">(DE-600)1160989-8</subfield><subfield code="w">(DE-576)04851134X</subfield><subfield code="x">0928-0219</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:21</subfield><subfield code="g">year:2013</subfield><subfield code="g">number:3</subfield><subfield code="g">day:01</subfield><subfield code="g">month:06</subfield><subfield code="g">pages:355-377</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1515/jip-2013-0005</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_60</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_134</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_267</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">21</subfield><subfield code="j">2013</subfield><subfield code="e">3</subfield><subfield code="b">01</subfield><subfield code="c">06</subfield><subfield code="h">355-377</subfield></datafield></record></collection>
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