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Hybrid Function Representation with Distance Properties.

Tereshin, A., Adzhiev, V., Fryazinov, O. and Pasko, A., 2019. Hybrid Function Representation with Distance Properties. In: Eurographics 2019, 6-10 May 2019, Genoa, Italy.

Full text available as:

EG_2019_short1028.pdf - Accepted Version


DOI: 10.2312/egs.20191004


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.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:Shape Modelling ; Function Representation ; Signed Distance Field ; Hybrid Representation
Group:Faculty of Media & Communication
ID Code:33493
Deposited By: Symplectic RT2
Deposited On:24 Feb 2020 15:17
Last Modified:14 Mar 2022 14:20


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