Generating Distance Fields from Parametric Plane Curves

Valasek, Gábor (2018) Generating Distance Fields from Parametric Plane Curves Annales Mathematicae et Informaticae. 48. pp. 83-91. ISSN 1787-5021 (Print), 1787-6117 (Online)

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Distance fields have been presented as a general representation for both curves and surfaces [4]. Using space partitioning, adaptive distance fields (ADF) found their way into various applications, such as real-time font rendering [5]. Computing approximate distance fields for implicit representations and mesh objects received much attention. Parametric curves and surfaces, however, are usually not part of the discussion directly. There are several algorithms that can be used for their conversion into distance fields. However, most of these are based converting parametric representations to piecewise linear approximations [7]. This paper presents two algorithms to directly compute distance fields from arbitrary parametric plane curves. One method is based on the rasterization of general parametric curves, followed by a distance propagation using fast marching. The second proposed algorithm uses the differential geometric properties of the curve to generate simple geometric proxies, segments of osculating circles, that are used to approximate the distance from the original curve.

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Valasek, Gábor
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Megjegyzés: Selected papers of the 10th International Conference on Applied Informatics
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Kulcsszavak: Computer Graphics, Distance Fields, Geometric Modeling
Nyelv: angol
Kötetszám: 48.
ISSN: 1787-5021 (Print), 1787-6117 (Online)
Felhasználó: Tibor Gál
Dátum: 13 Már 2019 18:57
Utolsó módosítás: 13 Már 2019 18:57
URI: http://publikacio.uni-eszterhazy.hu/id/eprint/3316
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