In his online wanderings, Rubine stumbled across the channel of Australian mathematician N.J. Wildberger. Intrigued, he got ...

Annulus: The region between two concentric shapes, commonly used in algorithms that seek minimal-width or area-bounded enclosures. Convex Geometry and Point Set Configurations Publication Trend ...

Convex geometry and combinatorial optimisation form a vibrant nexus of research that bridges theoretical mathematics with practical algorithm design. The study of convex sets and their structural ...

The number in each polygon with n sides is the sum of the first n prime numbers’ values. The following applies to the decagon: We’d love to hear from you! E-mail us at [email protected] to share ...

To test AlphaEvolve’s breadth, DeepMind applied the system to over 50 open problems in mathematical analysis, geometry, combinatorics and number theory. In roughly 75% of cases, AlphaEvolve ...

As an example of the applicability of the concept of sentinel, we explain how they can be used to formulate an algorithm based on the optimization of differentiable models to pack polygons in convex ...

Chazelle and L.J. Guibas (1985), enable the authors to design an O(n log n) algorithm for ... This problem is solved for polygons with at least one given visibility edge. It is assumed that both ...

We use the nonlinear programming solver IPOPT (an algorithm of ... partition of a nonconvex polygon influences the model and therefore the solution, because there is a directly proportional ...

Abstract: This paper presents a convex optimization-based frame-level rate control algorithm for motion compensated hybrid DCT/DPCM video coding. By modifying the existing rate-distortion models, an ...

Abstract: To fill an elongated polygon, traditional Edge Marking Fill Algorithm can not deal properly. Basing on it, this paper especially presents a designed Edge Marking Fill algorithm aiming at ...