Title:

Techniki informacyjne teoria i zastosowania * Wybrane problemy * An efficient orthogonal algorithmization of isoperimetric type problem in the class of closed polynominal curves

Subtitle:

Książka = Book ; KS/8/2011/T13P09

Creator:

Rutka, Przemysław

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2011

Description:

[2], 134-146 pages ; 21 cm ; Bibliography p. 146

Type of object:

Book/Chapter

Abstract:

In this paper we present an efficient algorithm of order , which solves an isoperimetric type problem in the class of closed polynomial curves of degree . This algorithm requires to compute the largest zero of some, recurrently defined, orthogonal polynomial of degree and to solve a sparse system of linear equations. A solution of this system allows to obtain the control points of extremal curve, while maximal zero of this polynomial gives maximal area bounded by this curve.

Relation:

Książka = Book

Resource type:

Text

Detailed Resource Type:

Book

Source:

KS-2011-08-T13P09

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open