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math.OC2024
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…
math.OC2024
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…
math.OC2024
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…