Omri Abas

collaborators

3 papers

math.MG2026

Random Width and Brightness: Polyhedral Density Theory, Reconstruction, and Gaussian Identifiability

Omri Abas

Let U be uniformly distributed on the unit sphere. We develop a self-contained forward and inverse theory for the random width w_K(U) and brightness b_K(U) of three-dimensional con…

math.MG2026

Width Laws and Spectral Geometry

Omri Abas

We develop a common framework for random width laws, spectral populations, and geometric reconstruction. For a $d$ -dimensional orthotope, we prove an exact parity law for the maxim…

math.MG2026

Width distributions for rectangular boxes

Omri Abas

For a rectangular box with edges $a_{1}, a_{2}, a_{3}$ , the width in a uniform random direction $u \in S^{2}$ is $w = \sum_{i} a_{i} ∣ u_{i} ∣$ . Under a bijective change of parameters this is also the…