TY - JOUR AU - Róbert Bán AU - Gábor Valasek PY - 2021/08/04 Y2 - 2024/03/28 TI - Geometric Distance Fields of Plane Curves JF - Acta Cybernetica JA - Acta Cybern VL - 25 IS - 2 SE - Special Issue of the 12th Conference of PhD Students in Computer Science DO - 10.14232/actacyb.289248 UR - https://cyber.bibl.u-szeged.hu/index.php/actcybern/article/view/4192 AB - 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 investigate the theoretical approximation order of these constructs and provide empirical comparisons between geometric and algebraic distance fields of higher order. We apply our results to font representation and rendering. ER -