Sparse Balanced Layout of Ellipsoids

• Published in: Cybernetics and systems analysis Vol. 57; no. 6; pp. 864 - 873
• Main Authors: Stoyan, Y. G., Romanova, T. E., Pankratov, O. V., Stetsyuk, P. I., Maximov, S. V.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.11.2021; Springer; Springer Nature B.V
• Subjects: Algorithms; Analysis; Artificial Intelligence; Constraint modelling; Containers; Control; Ellipsoids; Layouts; Mathematics; Mathematics and Statistics; Nonlinear programming; Optimization; Processor Architectures; Software Engineering/Programming and Operating Systems; Systems Analysis; Systems Theory; ellipsoid of revolution (spheroid); quasi-phi-function; nonlinear programming; sparse layout; Shor’s r-algorithm

The authors consider the problem of generating spheroidal voids in a three- dimensional domain of complex geometry, with regard for the constraints on the “sparseness” of voids subject to the system balance. The problem is reduced to the optimized layout of ellipsoids of revolution in a convex conta...