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Efficient Volumetric Anisotropic Diffusion Computation on GPUs

Kuijper, Arjan and Schwarzkopf, Andreas and Kalbe, Thomas and Goesele, Michael (2012):
Efficient Volumetric Anisotropic Diffusion Computation on GPUs.
In: Proceedings in Applied Mathematics and Mechanics, 12 (1), pp. 737-738. DOI: 10.1002/pamm.201210357,
[Article]

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.

Item Type: Article
Erschienen: 2012
Creators: Kuijper, Arjan and Schwarzkopf, Andreas and Kalbe, Thomas and Goesele, Michael
Title: Efficient Volumetric Anisotropic Diffusion Computation on GPUs
Language: English
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.

Journal or Publication Title: Proceedings in Applied Mathematics and Mechanics
Journal volume: 12
Number: 1
Uncontrolled Keywords: 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
Divisions: 20 Department of Computer Science
20 Department of Computer Science > Interactive Graphics Systems
Date Deposited: 12 Nov 2018 11:16
DOI: 10.1002/pamm.201210357
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