Hybrid function representation for heterogeneous objects.
Authors: Tereshin, A., Pasko, A.A., Fryazinov, O. and Adzhiev, V.
Journal: Graph. Model.
Volume: 114
Pages: 101098
DOI: 10.1016/j.gmod.2021.101098
https://eprints.bournemouth.ac.uk/35314/
Source: DBLP
Preferred by: Valery Adzhiev
Hybrid Function Representation for Heterogeneous Objects
Authors: Tereshin, A., Pasko, A., Fryazinov, O. and Adzhiev, V.
Abstract:Heterogeneous object modelling is an emerging area where geometric shapes are considered in concert with their internal physically-based attributes. This paper describes a novel theoretical and practical framework for modelling volumetric heterogeneous objects on the basis of a novel unifying functionally-based hybrid representation called HFRep. This new representation allows for obtaining a continuous smooth distance field in Euclidean space and preserves the advantages of the conventional representations based on scalar fields of different kinds without their drawbacks. We systematically describe the mathematical and algorithmic basics of HFRep. The steps of the basic algorithm are presented in detail for both geometry and attributes. To solve some problematic issues, we have suggested several practical solutions, including a new algorithm for solving the eikonal equation on hierarchical grids. Finally, we show the practicality of the approach by modelling several representative heterogeneous objects, including those of a time-variant nature.
https://eprints.bournemouth.ac.uk/35314/
Source: arXiv
Hybrid Function Representation for Heterogeneous Objects
Authors: Tereshin, A., Pasko, A., Fryazinov, O. and Adzhiev, V.
Journal: arXiv
Issue: 2012.15176v1 [cs.GR]
ISSN: 1524-0703
Abstract:Heterogeneous object modelling is an emerging area where geometric shapes are considered in concert with their internal physically-based attributes. This paper describes a novel theoretical and practical framework for modelling volumetric heterogeneous objects on the basis of a novel unifying functionally-based hybrid representation called HFRep. This new representation allows for obtaining a continuous smooth distance field in Euclidean space and preserves the advantages of the conventional representations based on scalar fields of different kinds without their drawbacks. We systematically describe the mathematical and algorithmic basics of HFRep. The steps of the basic algorithm are presented in detail for both geometry and attributes. To solve some problematic issues, we have suggested several practical solutions, including a new algorithm for solving the eikonal equation on hierarchical grids. Finally, we show the practicality of the approach by modelling several representative heterogeneous objects, including those of a time-variant nature.
https://eprints.bournemouth.ac.uk/35314/
https://arxiv.org/abs/2012.15176
Source: BURO EPrints