Space-Time Transfinite Interpolation of Volumetric Material Properties

This source preferred by Alexander Pasko, Oleg Fryazinov, Valery Adzhiev and Mathieu Sanchez

Authors: Sanchez, M., Fryazinov, O., Adzhiev, V., Comninos, P. and Pasko, A.

Editors: Lin, M.

http://eprints.bournemouth.ac.uk/21417/

Journal: IEEE Transactions on Visualization and Computer Graphics

Volume: 21

Issue: 2

Pages: 278-288

The paper presents a novel technique based on extension of a general mathematical method of transfinite interpolation to solve an actual problem in the context of a heterogeneous volume modelling area. It deals with time-dependent changes to the volumetric material properties (material density, colour and others) as a transformation of the volumetric material distributions in space-time accompanying geometric shape transformations such as metamorphosis. The main idea is to represent the geometry of both objects by scalar fields with distance properties, to establish in a higher-dimensional space a time gap during which the geometric transformation takes place, and to use these scalar fields to apply the new space-time transfinite interpolation to volumetric material attributes within this time gap. The proposed solution is analytical in its nature, does not require heavy numerical computations and can be used in real-time applications. Applications of this technique also include texturing and displacement mapping of time-variant surfaces, and parametric design of volumetric microstructures.

This data was imported from PubMed:

Authors: Sanchez, M., Fryazinov, O., Adzhiev, V., Comninos, P. and Pasko, A.

http://eprints.bournemouth.ac.uk/21417/

Journal: IEEE Trans Vis Comput Graph

Volume: 21

Issue: 2

Pages: 278-288

eISSN: 1941-0506

DOI: 10.1109/TVCG.2014.2356196

The paper presents a novel technique based on extension of a general mathematical method of transfinite interpolation to solve an actual problem in the context of a heterogeneous volume modelling area. It deals with time-dependent changes to the volumetric material properties (material density, colour, and others) as a transformation of the volumetric material distributions in space-time accompanying geometric shape transformations such as metamorphosis. The main idea is to represent the geometry of both objects by scalar fields with distance properties, to establish in a higher-dimensional space a time gap during which the geometric transformation takes place, and to use these scalar fields to apply the new space-time transfinite interpolation to volumetric material attributes within this time gap. The proposed solution is analytical in its nature, does not require heavy numerical computations and can be used in real-time applications. Applications of this technique also include texturing and displacement mapping of time-variant surfaces, and parametric design of volumetric microstructures.

This data was imported from DBLP:

Authors: Sanchez, M., Fryazinov, O., Adzhiev, V., Comninos, P. and Pasko, A.A.

http://eprints.bournemouth.ac.uk/21417/

Journal: IEEE Trans. Vis. Comput. Graph.

Volume: 21

Pages: 278-288

DOI: 10.1109/TVCG.2014.2356196

This data was imported from Scopus:

Authors: Sanchez, M., Fryazinov, O., Adzhiev, V., Comninos, P. and Pasko, A.

http://eprints.bournemouth.ac.uk/21417/

Journal: IEEE Transactions on Visualization and Computer Graphics

Volume: 21

Issue: 2

Pages: 278-288

ISSN: 1077-2626

DOI: 10.1109/TVCG.2014.2356196

© 1995-2012 IEEE. The paper presents a novel technique based on extension of a general mathematical method of transfinite interpolation to solve an actual problem in the context of a heterogeneous volume modelling area. It deals with time-dependent changes to the volumetric material properties (material density, colour, and others) as a transformation of the volumetric material distributions in space-time accompanying geometric shape transformations such as metamorphosis. The main idea is to represent the geometry of both objects by scalar fields with distance properties, to establish in a higher-dimensional space a time gap during which the geometric transformation takes place, and to use these scalar fields to apply the new space-time transfinite interpolation to volumetric material attributes within this time gap. The proposed solution is analytical in its nature, does not require heavy numerical computations and can be used in real-time applications. Applications of this technique also include texturing and displacement mapping of time-variant surfaces, and parametric design of volumetric microstructures.

This data was imported from Web of Science (Lite):

Authors: Sanchez, M., Fryazinov, O., Adzhiev, V., Comninos, P. and Pasko, A.

http://eprints.bournemouth.ac.uk/21417/

Journal: IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS

Volume: 21

Issue: 2

Pages: 278-288

eISSN: 1941-0506

ISSN: 1077-2626

DOI: 10.1109/TVCG.2014.2356196

This data was imported from Europe PubMed Central:

Authors: Sanchez, M., Fryazinov, O., Adzhiev, V., Comninos, P. and Pasko, A.

http://eprints.bournemouth.ac.uk/21417/

Journal: IEEE transactions on visualization and computer graphics

Volume: 21

Issue: 2

Pages: 278-288

eISSN: 1941-0506

ISSN: 1077-2626

The paper presents a novel technique based on extension of a general mathematical method of transfinite interpolation to solve an actual problem in the context of a heterogeneous volume modelling area. It deals with time-dependent changes to the volumetric material properties (material density, colour, and others) as a transformation of the volumetric material distributions in space-time accompanying geometric shape transformations such as metamorphosis. The main idea is to represent the geometry of both objects by scalar fields with distance properties, to establish in a higher-dimensional space a time gap during which the geometric transformation takes place, and to use these scalar fields to apply the new space-time transfinite interpolation to volumetric material attributes within this time gap. The proposed solution is analytical in its nature, does not require heavy numerical computations and can be used in real-time applications. Applications of this technique also include texturing and displacement mapping of time-variant surfaces, and parametric design of volumetric microstructures.

The data on this page was last updated at 04:40 on November 19, 2017.