GPU-based ray-casting of spherical functions applied to high angular resolution diffusion imaging

M.A. Almsick, van, T.H.J.M Peeters, V. Prckovska, A. Vilanova, B.M. Haar Romenij, ter

Research output: Contribution to journalArticleAcademicpeer-review

8 Citations (Scopus)

Abstract

Any sufficiently smooth, positive, real-valued function $psi: S^2 rightarrow realset^+$ 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.
Original languageEnglish
Pages (from-to)612-625
JournalIEEE Transactions on Visualization and Computer Graphics
Volume17
Issue number5
DOIs
Publication statusPublished - 2011

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