TY - JOUR
AU - Csaba Bálint
AU - Gábor Valasek
AU - Lajos Gergó
PY - 2019/05/21
Y2 - 2020/06/04
TI - Operations on Signed Distance Functions
JF - Acta Cybernetica
JA - Acta Cybern
VL - 24
IS - 1
SE - Special Issue of the 11th Conference of PhD Students in Computer Science
DO - 10.14232/actacyb.24.1.2019.3
UR - https://cyber.bibl.u-szeged.hu/index.php/actcybern/article/view/4004
AB - We present a theoretical overview of signed distance functions and analyze how this representation changes when applying an offset transformation. First, we analyze the properties of signed distance and the sets they describe.Second, we introduce our main theorem regarding the distance to an offset set in (X,||.||) strictly normed Banach spaces. An offset set of D in X is the set of points equidistant to D. We show when such a set can be represented by f(x)-c=0, where c denotes the radius of the offset. Finally, we explain these results for applications that offset signed distance functions.
ER -