Hybrid Function Representation with Distance Properties
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
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.
Description
@inproceedings{10.2312:egs.20191004,
booktitle = {Eurographics 2019 - Short Papers},
editor = {Cignoni, Paolo and Miguel, Eder},
title = {{Hybrid Function Representation with Distance Properties}},
author = {Tereshin, Alexander and Adzhiev, Valery and Fryazinov, Oleg and Pasko, Alexander},
year = {2019},
publisher = {The Eurographics Association},
ISSN = {1017-4656},
ISBN = {},
DOI = {10.2312/egs.20191004}
}