Kuijper, Arjan ; Schwarzkopf, Andreas ; Kalbe, Thomas ; Goesele, Michael (2012)
Efficient Volumetric Anisotropic Diffusion Computation on GPUs.
In: Proceedings in Applied Mathematics and Mechanics, 12 (1)
doi: 10.1002/pamm.201210357
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
We present an efficient implementation of volumetric anisotropic image diffusion on modern programmable graphics processing units (GPUs). We avoid the computational bottleneck of a time consuming eigenvalue decomposition in R3. Instead, we use a projection of the Hessian matrix along the surface normal onto the tangent plane of the local isodensity surface and solve for the remaining two tangent space eigenvectors. We derive closed formulas to achieve this resulting in efficient GPU code. Our most complex volumetric anisotropic diffusion gains a speed up of more than 600 compared to a CPU solution 1.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2012 |
| Autor(en): | Kuijper, Arjan ; Schwarzkopf, Andreas ; Kalbe, Thomas ; Goesele, Michael |
| Art des Eintrags: | Bibliographie |
| Titel: | Efficient Volumetric Anisotropic Diffusion Computation on GPUs |
| Sprache: | Englisch |
| Publikationsjahr: | 2012 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Proceedings in Applied Mathematics and Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 12 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1002/pamm.201210357 |
| Kurzbeschreibung (Abstract): | We present an efficient implementation of volumetric anisotropic image diffusion on modern programmable graphics processing units (GPUs). We avoid the computational bottleneck of a time consuming eigenvalue decomposition in R3. Instead, we use a projection of the Hessian matrix along the surface normal onto the tangent plane of the local isodensity surface and solve for the remaining two tangent space eigenvectors. We derive closed formulas to achieve this resulting in efficient GPU code. Our most complex volumetric anisotropic diffusion gains a speed up of more than 600 compared to a CPU solution 1. |
| Freie Schlagworte: | Business Field: Virtual engineering, Research Area: Confluence of graphics and vision, Partial differential equations, 3D Data representation, 3D Graphics, 3D Image acquisition, 3D Image processing, Smoothing, Scale spaces |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Graphisch-Interaktive Systeme |
| Hinterlegungsdatum: | 12 Nov 2018 11:16 |
| Letzte Änderung: | 09 Dez 2021 11:46 |
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