Generalized Ellipsoids

AA Ahmadi, A Chaudhry, C Dibek - arXiv preprint arXiv:2407.20362, 2024 - arxiv.org
… a different generalization of ellipsoids to sets that we call generalized ellipsoids of
degree d (GE-ds), with ellipsoids corresponding to the case of d = 0. Generalized ellipsoids (GEs) …

The generalized ellipsoid method and its implementation

P Stetsyuk, A Fischer, O Khomyak - International Conference on …, 2019 - Springer
… In this paper we considered the generalized method of ellipsoids and the properties of
two theoretically equivalent versions. The first one is based on updating a not necessarily …

Generalization of the super ellipsoid concept and its application in mechanics

BY Ni, I Elishakoff, C Jiang, CM Fu, X Han - Applied Mathematical Modelling, 2016 - Elsevier
… the efficiency of the notion of generalized super ellipsoids, namely we study the static behavior
of … specifying the crankshaft are treated as belonging to a generalized super ellipsoid set. …

Method of ellipsoids, its generalizations and applications

VI Gershovich, NZ Shor - Cybernetics, 1982 - Springer
… has been designated the "ellipsoid algorithm." After the … of the MCGM (method of ellipsoids)
and the simplex-method, as … convex programming problems that generalized the MCGM and …

Dynamic analysis and design of robot manipulators using inertia ellipsoids

H Asada - … . 1984 IEEE International Conference on Robotics …, 1984 - ieeexplore.ieee.org
… of a single rigid body, is extended to a generalized ellipsoid for a … By drawing the Generalized
Inertia Ellipsoid (GIE) on a computer display, … ellipsoid of a single body, the generalized

A Characterization of Generalized Complex Ellipsoids In ℂ n and Related Results

A Kodama, SG Krantz, D Ma - Indiana University mathematics journal, 1992 - JSTOR
… happens when N is a generalized complex ellipsoid in (*)? The an swer is remarkable: …
generalized complex ellipsoid E. Then M is biholomorphic to a generalized complex ellipsoid

A generalization of the dielectric ellipsoid problem

RC Jones - Physical Review, 1945 - APS
… The solution ofthis generalized problem is presented in this paper. The … ellipsoid when the
ellipsoid is placed in a uniform electric field. In the present generalization, the ellipsoid is aniso…

[LIVRE][B] Ellipsoidal harmonics: theory and applications

G Dassios - 2012 - books.google.com
… the ellipsoid degenerates to a sphere, the ellipsoidal harmonics reduce to a form of spherical
harmonics, known as sphero-conal harmonics, that preserves its ellipsoidal … an ellipsoidal

Finding minimum volume circumscribing ellipsoids using generalized copositive programming

A Mittal, GA Hanasusanto - Operations Research, 2022 - pubsonline.informs.org
ellipsoid (ie, an ellipsoid with minimum volume that contains a given convex set). We reformulate
the problem as a generalized … our method never provides an ellipsoid of higher volume …

Generalized ellipsoids and anisotropic filtering for segmentation improvement in 3D medical imaging

R Dosil, XM Pardo - Image and Vision Computing, 2003 - Elsevier
… This parametric surface is represented by a generalized ellipsoid scheme. Boundary points
are … To represent global shape we have chosen the generalized ellipsoid model, also called …