Title
Geometric Distance Fields of Plane Curves
Abstract
This paper introduces a geometric generalization of signed distance fields for plane curves. We propose to store simplified geometric proxies to the curve at every sample. These proxies are constructed based on the differential geometric quantities of the represented curve and are used for queries such as closest point and distance calculations. We derive the theoretical approximation order of these constructs and provide empirical comparisons between geometric and algebraic distance fields of higher order. We validate our theoretical results by applying them to font representation and rendering.
Year
DOI
Venue
2021
10.14232/actacyb.289248
ACTA CYBERNETICA
Keywords
DocType
Volume
computer graphics, signed distance fields, plane curves
Journal
25
Issue
ISSN
Citations 
2
0324-721X
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Róbert Bán100.34
Gábor Valasek241.80