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VOTS: VOlume doTS as a Point-Based Representation of Volumetric Data

S. Grimm, S. Bruckner, A. Kanitsar, and M. E. Gröller

Abstract

We present Volume dots (Vots), a new primitive for volumetric data modelling, processing, and rendering. Vots are a point-based representation of volumetric data. An individual Vot is specified by the coefficients of a Taylor series expansion, i.e. the function value and higher order derivatives at a specific point. A Vot does not only represent a single sample point, it represents the underlying function within a region. With the Vots representation we have a more intuitive and high-level description of the volume data. This allows direct analytical examination and manipulation of volumetric datasets. Vots enable the representation of the underlying scalar function with specified precision. User-centric importance sampling is also possible, i.e., unimportant volume parts are still present but represented with just very few Vots. As proof of concept, we show Maximum Intensity Projection based on Vots.

S. Grimm, S. Bruckner, A. Kanitsar, and M. E. Gröller, "VOTS: VOlume doTS as a Point-Based Representation of Volumetric Data," Computer Graphics Forum, vol. 23, iss. 3, p. 668–661, 2004. doi:10.1111/j.1467-8659..00798.x
[BibTeX]

We present Volume dots (Vots), a new primitive for volumetric data modelling, processing, and rendering. Vots are a point-based representation of volumetric data. An individual Vot is specified by the coefficients of a Taylor series expansion, i.e. the function value and higher order derivatives at a specific point. A Vot does not only represent a single sample point, it represents the underlying function within a region. With the Vots representation we have a more intuitive and high-level description of the volume data. This allows direct analytical examination and manipulation of volumetric datasets. Vots enable the representation of the underlying scalar function with specified precision. User-centric importance sampling is also possible, i.e., unimportant volume parts are still present but represented with just very few Vots. As proof of concept, we show Maximum Intensity Projection based on Vots.
@ARTICLE {Grimm-2004-VVD,
author = "S{\"o}ren Grimm and Stefan Bruckner and Armin Kanitsar and Meister Eduard Gr{\"o}ller",
title = "VOTS: VOlume doTS as a Point-Based Representation of Volumetric Data",
journal = "Computer Graphics Forum",
year = "2004",
volume = "23",
number = "3",
pages = "668--661",
month = "sep",
abstract = "We present Volume dots (Vots), a new primitive for volumetric data  modelling, processing, and rendering. Vots are a point-based representation  of volumetric data. An individual Vot is specified by the coefficients  of a Taylor series expansion, i.e. the function value and higher  order derivatives at a specific point. A Vot does not only represent  a single sample point, it represents the underlying function within  a region. With the Vots representation we have a more intuitive and  high-level description of the volume data. This allows direct analytical  examination and manipulation of volumetric datasets. Vots enable  the representation of the underlying scalar function with specified  precision. User-centric importance sampling is also possible, i.e.,  unimportant volume parts are still present but represented with just  very few Vots. As proof of concept, we show Maximum Intensity Projection  based on Vots.",
pdf = "pdfs/Grimm-2004-VVD.pdf",
images = "images/Grimm-2004-VVD.jpg",
thumbnails = "images/Grimm-2004-VVD.png",
issn = "0167-7055",
affiliation = "tuwien",
doi = "10.1111/j.1467-8659..00798.x",
keywords = "point-based data, volume data",
url = "//www.cg.tuwien.ac.at/research/publications/2004/grimm-2004-volume/"
}
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