Detail aplikovaného výsledku

Quadratic Surface Explorer

KOVÁR, M.; CHERNIKAVA, A.

Originální název

Quadratic Surface Explorer

Anglický název

Quadratic Surface Explorer

Druh

Software

Abstrakt

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.

Abstrakt aglicky

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.

Klíčová slova

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

Klíčová slova anglicky

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

Umístění

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

Možnosti využití

výsledek využívá pouze poskytovatel

Licenční poplatek

K využití výsledku jiným subjektem je vždy nutné nabytí licence

www