22 citations · 59 across the 32 of their papers we have counts for
9 papers · 1 filter
Identification of generic polygonal domains by integral-geometric invariants
Jun O'Hara
We study a reconstruction problem of planar domains from non-local integral-geometric invariants. We show that a generic polygonal domain, not necessarily convex, is uniquely deter…
Distinguishing finite metric spaces via similarity spectra
Jun O'Hara
We study spectra and characteristic polynomials of similarity matrices associated with finite metric spaces, where the similarity matrix of a finite metric space $X=\{x_1,\dots,x_n…
Distinguishing regular polygons, cycle graphs, and circular metric spaces by the distance multiset and magnitude
Hiroki Kodama, Jun O'Hara
We investigate how effectively finite metric spaces can be distinguished by distance-based invariants. As model spaces, we consider regular polygons, cycle graphs, and their genera…
Magnitude function determines generic finite metric spaces
Jun O'Hara
We give sufficient conditions for a finite metric space to be determined by the magnitude function. In particular, a generic finite metric space such that the distances between the…
Equisectional equivalence of triangles
Jun O'Hara
We study equivalence relation of the set of triangles generated by similarity and operation on a triangle to get a new one by joining division points of three edges with the same r…
Minimal unfolded regions of a convex hull and parallel bodies
Jun O'Hara
The {\em minimal unfolded region} (or the {\em heart}) of a bounded subset $\Om$ in the Euclidean space is a subset of the convex hull of $\Om$ the definition of which is based on…