2014
DOI: 10.1109/tvcg.2014.2346324
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Sparse PDF Volumes for Consistent Multi-Resolution Volume Rendering

Abstract: This paper presents a new multi-resolution volume representation called sparse pdf volumes, which enables consistent multi-resolution volume rendering based on probability density functions (pdfs) of voxel neighborhoods. These pdfs are defined in the 4D domain jointly comprising the 3D volume and its 1D intensity range. Crucially, the computation of sparse pdf volumes exploits data coherence in 4D, resulting in a sparse representation with surprisingly low storage requirements. At run time, we dynamically appl… Show more

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Cited by 29 publications
(29 citation statements)
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“…Representing image and volume data via probability density functions (PDFs) allows for consistent multi-resolution rendering and processing of both image [14] and volume data [27,40]. These PDFs can be approximated sparsely and, e.g., be stored in sparse PDF maps [14] and sparse PDF volumes [27], respectively. These representations are very similar to standard mipmaps [36], but enable the accurate and efficient evaluation of color mapping and non-linear filtering.…”
Section: Related Workmentioning
confidence: 99%
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“…Representing image and volume data via probability density functions (PDFs) allows for consistent multi-resolution rendering and processing of both image [14] and volume data [27,40]. These PDFs can be approximated sparsely and, e.g., be stored in sparse PDF maps [14] and sparse PDF volumes [27], respectively. These representations are very similar to standard mipmaps [36], but enable the accurate and efficient evaluation of color mapping and non-linear filtering.…”
Section: Related Workmentioning
confidence: 99%
“…These representations are very similar to standard mipmaps [36], but enable the accurate and efficient evaluation of color mapping and non-linear filtering. Accurate approximation of PDFs is possible using isotropic Gaussians [14,27]. Our approach uses This makes it impossible to discern small features (orange circles) in large particle data, such as the Copper/Silver mixture shown here, during interactive exploration.…”
Section: Related Workmentioning
confidence: 99%
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“…Several techniques (e.g., [Kraus and Bürger 2008;Sicat et al 2014]) have been developed previously to interpolate voxelized data for efficient 3D visualization. Although these approaches could be adapted to handle some scattering parameters, they normally offer limited accuracy.…”
Section: ])mentioning
confidence: 99%
“…[YMC06] have proposed improving the visual quality of multi‐resolution volume rendering by approximating the voxel data distribution by its mean and variance at each level of detail. The recently introduced sparse pdf volumes [SKMH14] and sparse pdf maps [HSB*12], respectively, represent the data distributions more accurately. For sparse pdf volumes, this allows for consistent multi‐resolution volume rendering [SKMH14], i.e.…”
Section: Data Representation and Storagementioning
confidence: 99%