An introduction to ray tracing
An introduction to ray tracing
Hierarchical splatting: a progressive refinement algorithm for volume rendering
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
ACM Computing Surveys (CSUR)
The multilevel finite element method for adaptive mesh optimization and visualization of volume data
VIS '97 Proceedings of the 8th conference on Visualization '97
Multiresolution and hierarchical methods for the visualization of volume data
Future Generation Computer Systems - Special issue on scientific visualization
Solving Hyperbolic PDEs Using Interpolating Wavelets
SIAM Journal on Scientific Computing
Hierarchical Monte Carlo image synthesis
Mathematics and Computers in Simulation - IMACS sponsored Special issue on the second IMACS seminar on Monte Carlo methods
Compression Domain Rendering of Time-Resolved Volume Data
VIS '95 Proceedings of the 6th conference on Visualization '95
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A hierarchical volume rendering algorithm is presented. Volume emissions in optically thin media are considered A sparse hierarchical wavelet-based representation of the directional volume emission rate function is constructed top-down and then projected onto the image plane. This makes the algorithm fast, since the number of operation is proportional to the number of coefficients in the representation. Also, the sparsity minimizes the algorithm's memory requirement. The representation is constructed using conservative subdivision, making the projection onto a lower-dimensional representation trivial. The error is controlled by a threshold parameter, allowing a direct trade-off between speed and accuracy. The algorithm is especially well suited when the directional volume emission rate is computationally expensive to evaluate, since the sparse representation minimizes the number of function evaluations for rendering a volume with a specified accuracy. Since a sparse oct-tree is constructed for a specific view point the method is best suited to situations where an image is to be generated from one view point.