Title
GPU-Based Ray-Casting of Spherical Functions Applied to High Angular Resolution Diffusion Imaging
Abstract
Any sufficiently smooth, positive, real-valued function \psi : S^2 \rightarrow {\hbox{\rlap{I}\kern 2.0pt{\hbox{R}}}}^+ on a sphere S^2 can be expanded by a Laplace expansion into a sum of spherical harmonics. Given the Laplace expansion coefficients, we provide a CPU and GPU-based algorithm that renders the radial graph of \psi in a fast and efficient way by ray-casting the glyph of \psi in the fragment shader of a GPU. The proposed rendering algorithm has proven highly useful in the visualization of high angular resolution diffusion imaging (HARDI) data. Our implementation of the rendering algorithm can display simultaneously thousands of glyphs depicting the local diffusivity of water. The rendering is fast enough to allow for interactive manipulation of large HARDI data sets.
Year
DOI
Venue
2011
10.1109/TVCG.2010.61
IEEE transactions on visualization and computer graphics
Keywords
Field
DocType
rendering algorithm,fragment shader,gpu-based algorithm,local diffusivity,high angular resolution diffusion,laplace expansion,laplace expansion coefficient,spherical functions applied,proposed rendering algorithm,large hardi data set,interactive manipulation,gpu-based ray-casting,computer graphics,computer graphic,magnetic resonance imaging,spherical function,computer applications,ray casting,image resolution,coprocessors,data visualization,computational geometry,diffusion tensor imaging,probability density function,magnetic resonance image
Laplace expansion,Computer vision,Computer science,Spherical harmonics,Ray casting,Theoretical computer science,Angular resolution,Artificial intelligence,Shader,Rendering (computer graphics),Computer graphics,Image resolution
Journal
Volume
Issue
ISSN
17
5
1941-0506
Citations 
PageRank 
References 
3
0.38
11
Authors
5
Name
Order
Citations
PageRank
Markus van Almsick1564.80
Tim H. J. M. Peeters2101.33
Vesna Prčkovska3664.42
Anna Villanova430.38
Bart ter Haar Romeny522416.62