Hybrid function representation with distance properties
Authors: Tereshin, A., Adzhiev, V., Fryazinov, O. and Pasko, A.
Journal: European Association for Computer Graphics - 40th Annual Conference, EUROGRAPHICS 2019 - Short Papers
Pages: 17-20
DOI: 10.2312/egs.20191004
Abstract:This paper describes a novel framework allowing for a hybrid representation of heterogeneous objects. We consider advantages and drawbacks of the conventional representations based on scalar fields of different kinds. The main result is introducing a hybrid representation called Hybrid Function Representation (HFRep) that preserves the advantages of the Function Representation (FRep) and Signed Distance Fields (SDFs) without their drawbacks. This new representation allows for obtaining a continuous smooth distance field in the Euclidean space for the FRep. We present the mathematical basics for our approach that uses the Discrete Distance Transform (DDT) and a step-function. The procedure for generation HFRep using continuous interpolation and smoothing techniques are also described. A few examples show how the approach works in practice.
https://eprints.bournemouth.ac.uk/33493/
Source: Scopus
Hybrid Function Representation with Distance Properties
Authors: Tereshin, A., Adzhiev, V., Fryazinov, O. and Pasko, A.
Editors: Cignoni, P. and Miguel, E.
Conference: Eurographics 2019
Dates: 6-10 May 2019
Journal: Eurographics 2019 - Short Papers
Publisher: The Eurographics Association
ISSN: 1017-4656
DOI: 10.2312/egs.20191004
Abstract:This paper describes a novel framework allowing for a hybrid representation of heterogeneous objects. We consider the advantages and drawbacks of the conventional representations based on scalar fields of different kinds. The main result is introducing a hybrid representation called Hybrid Function Representation (HFRep) that preserves the advantages of the Function Representation (FRep) and Signed Distance Fields (SDFs) without their drawbacks. This new representation allows for obtaining a continuous smooth distance field in the Euclidean space for the FRep. We present the mathematical basics for our approach that uses the Discrete Distance Transform (DDT) and a step-function. The procedure for generation HFRep using continuous interpolation and smoothing techniques are also described. A few examples show how the approach works in practice.
https://eprints.bournemouth.ac.uk/33493/
Source: Manual
Hybrid Function Representation with Distance Properties.
Authors: Tereshin, A., Adzhiev, V., Fryazinov, O. and Pasko, A.A.
Editors: Cignoni, P. and Miguel, E.
Journal: Eurographics (Short Papers)
Pages: 17-20
Publisher: Eurographics Association
https://eprints.bournemouth.ac.uk/33493/
https://diglib.eg.org/handle/10.2312/2632750
Source: DBLP
Hybrid Function Representation with Distance Properties
Authors: Tereshin, A., Adzhiev, V., Fryazinov, O. and Pasko, A.
Editors: Cignoni, P. and Miguel, E.
Conference: Eurographics 2019
Publisher: The Eurographics Association
ISSN: 1017-4656
Abstract:This paper describes a novel framework allowing for a hybrid representation of heterogeneous objects. We consider the advantages and drawbacks of the conventional representations based on scalar fields of different kinds. The main result is introducing a hybrid representation called Hybrid Function Representation (HFRep) that preserves the advantages of the Function Representation (FRep) and Signed Distance Fields (SDFs) without their drawbacks. This new representation allows for obtaining a continuous smooth distance field in the Euclidean space for the FRep. We present the mathematical basics for our approach that uses the Discrete Distance Transform (DDT) and a step-function. The procedure for generation HFRep using continuous interpolation and smoothing techniques are also described. A few examples show how the approach works in practice.
https://eprints.bournemouth.ac.uk/33493/
Source: BURO EPrints