Graph Theory

GPU-Based Interactive Visualization Techniques by Daniel Weiskopf

By Daniel Weiskopf

Medical visualization has turn into an enormous device for visible research in lots of medical, engineering, and clinical disciplines.This e-book makes a speciality of effective visualization strategies, that are the prerequisite for the interactive exploration of advanced info units. excessive functionality is basically completed by way of devising algorithms for the short portraits processing devices (GPUs) of recent photos undefined. different facets mentioned within the booklet comprise parallelization on cluster desktops with a number of GPUs, adaptive rendering tools, multi-resolution versions, and non-photorealistic rendering options for visualisation. masking either the theoretical foundations and functional implementations of algorithms, this e-book presents the reader with a foundation to appreciate and reproduce glossy GPU-based visualization techniques.

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Example text

6 Cell Projection Cell projection is an object-order approach that traverses the cells of a grid and projects them onto the image plane. In general, cell projection is suitable for unstructured grids that may consist of different types of cells. A most prominent approach to cell projection is the projected-tetrahedra algorithm by Shirley and Tuchman [393]. , simplicial cells. A key element of the algorithm is the observation that the projection of a tetrahedron onto the image plane can be decomposed into a collection of triangles.

Under the assumption that the color is constant in a cell, pre-integration is related to the shading of polyhedral cells according to Max et al. [280]. For linear transfer functions, Stein et al. [399] use a 2D lookup-table parameterized by the thickness of the projected tetrahedron and the averaged absorption coefficient. Full pre-integration is introduced by R¨ ottger et al. [357] in the context of the projected-tetrahedra algorithm. Their observation is that barycentric interpolation is the natural interpolation scheme for tetrahedra.

3. 4) of the volume rendering integral. An interpolation filter is applied during sampling because the sampling positions usually differ from grid locations. Trilinear interpolation is the most popular reconstruction filter for uniform grids. The ray casting algorithm can be described by the pseudo code from Fig. 4. Data traversal is split in two parts. In the first part – ray setup – the initial sample position along the ray is determined by computing the eye image plane rays Fig. 3. Ray casting idea.

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