2 papers
math.AP2025
PDE methods for extracting normal vector fields and distance functions of shapes
Takahiro Hasebe, Jun Masamune, Hiroshi Teramoto +1
Partial differential equations can be used for extracting geometric features of shapes. This article summarizes recent methods to extract the normal vector field from an elliptic e…
math.AP2024
Construction of signed distance functions through an elliptic equation
Takahiro Hasebe, Jun Masamune, Tomoyuki Oka +2
Motivated by recent advances in structural optimization, we propose a novel method for constructing the distance function to the boundary of a given domain. Building on and extendi…