6 papers · 1 filter
Polynomial Eigenfunctions and Matrix Lyapunov Equations from Energy Balance Integrals
Netzer Moriya
We establish a unified theoretical framework that connects classical orthogonal polynomial systems to matrix Lyapunov equations through the fundamental physics of energy dissipatio…
Flexible Foil Mesh Generation for Spatial Focal-Body Modeling of a Spherical Mirror
Netzer Moriya
We present a novel application of the Flexible Foil Mesh Generation (FFMG) method to model the Focal Body generated by a spherical mirror collecting light from an infinitely d…
Ill-Posed Configurations in Random and Experimental Data Points Collection
Netzer Moriya
Ill-posed configurations, such as collinear or coplanar point arrangements, are a persistent challenge in computational geometry, complicating tasks as in triangulation and convex…
The Largest Empty Sphere Problem in 3D Hollowed Point Clouds
Netzer Moriya
We introduce a new approach for the adaptation of the Maximal Internal Envelope method, extended to address the Largest Empty Sphere problem within unstructured 3D point clouds. We…
Form Convex Hull to Concavity: Surface Contraction Around a Point Set
Netzer Moriya
This paper investigates the transformation of a convex hull, derived from a d-dimensional point cloud, into a concave surface. Our primary focus is on the development of a methodol…
Smallest Enclosing Sphere in 3D -- Particle Swarm Optimization Approach
Netzer Moriya
We have employed Particle Swarm Optimization to address a stochastic variant of the Smallest Enclosing Sphere estimation problem. An efficient algorithm has been developed to ascer…