Hybrid function representation with distance properties

Authors: Tereshin, A., Adzhiev, V., Fryazinov, O., Pasko, A.

Journal: European Association for Computer Graphics 40th Annual Conference Eurographics 2019 Short Papers

Publication Date: 01/01/2019

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., Pasko, A.

Journal: EUROPEAN ASSOCIATION FOR COMPUTER GRAPHICS 40TH ANNUAL CONFERENCE, EUROGRAPHICS 2019, SHORT PAPERS

Publication Date: 2019

Pages: 17-20

ISSN: 1017-4656

DOI: 10.2312/egs.20191004

https://eprints.bournemouth.ac.uk/33493/

Source: Web of Science

Hybrid Function Representation with Distance Properties

Authors: Tereshin, A., Adzhiev, V., Fryazinov, O., Pasko, A.

Editors: Cignoni, P., Miguel, E.

Conference: Eurographics 2019

Dates: 06/05/2019

Journal: Eurographics 2019 - Short Papers

Publication Date: 06/05/2019

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., Pasko, A.A.

Editors: Cignoni, P., Miguel, E.

Journal: Eurographics (Short Papers)

Publication Date: 2019

Pages: 17-20

Publisher: Eurographics Association

https://eprints.bournemouth.ac.uk/33493/

https://diglib.eg.org/handle/10.2312/2632750

Source: DBLP