@article{Bálint_Valasek_Gergó_2019, title={Operations on Signed Distance Functions}, volume={24}, url={http://cyber.bibl.u-szeged.hu/index.php/actcybern/article/view/4004}, DOI={10.14232/actacyb.24.1.2019.3}, abstractNote={<p>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.</p> <p>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.</p>}, number={1}, journal={Acta Cybernetica}, author={Bálint, Csaba and Valasek, Gábor and Gergó, Lajos}, year={2019}, month={May}, pages={17-28} }