Applied result detail

Quadratic Surface Explorer

KOVÁR, M.; CHERNIKAVA, A.

Original Title

Quadratic Surface Explorer

English Title

Quadratic Surface Explorer

Type

Software

Abstract

Quadric Surface Explorer allows to display a three-dimensional live animation of any quadratic surface embedded into the three-dimensional Euclidean space. It calculates its diagonal form using the properties of the eigen-vector spaces, related to the Hermitian matrix associated with the quadric. It also calculates the matrices of the coordinate transformations between the usual cartesian coordinates and the new coordinate system, in which the associated Hermitian matrix get the diagonal form and displays the principal axes of the given quadratic surface.

Abstract in English

Quadric Surface Explorer allows to display a three-dimensional live animation of any quadratic surface embedded into the three-dimensional Euclidean space. It calculates its diagonal form using the properties of the eigen-vector spaces, related to the Hermitian matrix associated with the quadric. It also calculates the matrices of the coordinate transformations between the usual cartesian coordinates and the new coordinate system, in which the associated Hermitian matrix get the diagonal form and displays the principal axes of the given quadratic surface.

Keywords

eigen-vector, quadric, pricipial axes, matrix similarity, transition matrix

Key words in English

eigen-vector, quadric, pricipial axes, matrix similarity, transition matrix

Location

Server UMAT FEKT VUT v Brně, Technická 8, 616 00 Brno

Possibilities of use

only the provider uses the result

Licence fee

In order to use the result by another entity, it is always necessary to acquire a license

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