Ternary approximating non-stationary subdivision schemes for curve design
Abstract: In this paper, an algorithm has been introduced to produce ternary 2m-point (for any integer m ≥ 1) approximating non-stationary subdivision schemes which can generate the linear spaces spanned by {1; cos (α.); sin (α.)}. The theory of asymptotic equivalence is being used to analyze the convergence and smoothness of the schemes. The proposed algorithm can be consider as the non-stationary counter part of the 2-point and 4-point existing ternary stationary approximating schemes, for different values of m. Moreover, the proposed algorithm has the ability to reproduce or regenerate the conic sections, trigonometric polynomials and trigonometric splines.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
Ternary approximating non-stationary subdivision schemes for curve design ; volume:4 ; number:4 ; year:2014 ; pages:371-378 ; extent:8
Open engineering ; 4, Heft 4 (2014), 371-378 (gesamt 8)
- Urheber
-
Siddiqi, Shahid
Younis, Muhammad
- DOI
-
10.2478/s13531-013-0149-y
- URN
-
urn:nbn:de:101:1-2412141811257.738405457327
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
15.08.2025, 07:30 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Siddiqi, Shahid
- Younis, Muhammad
Ähnliche Objekte (12)
Regularity of non-stationary subdivision: a matrix approach
Non-Stationary Multivariate Subdivision: Joint Spectral Radius and Asymptotic Similarity
Stationary subdivision
A new class of 2m-point binary non-stationary subdivision schemes
Family of odd point non-stationary subdivision schemes and their applications
Non-stationary Wave Turbulence
Bootstrapping Non-Stationary Stochastic Volatility
Non-stationary optical homodyne tomography
Learning in non-stationary Environments
Stationary Subspace Analysis: Towards understanding non-stationary data
Joint spectral radius and ternary hermite subdivision
Contributions to non-stationary sediment transport
Regularity of non-stationary subdivision: a matrix approach
Non-Stationary Multivariate Subdivision: Joint Spectral Radius and Asymptotic Similarity
Stationary subdivision
A new class of 2m-point binary non-stationary subdivision schemes
Family of odd point non-stationary subdivision schemes and their applications
Non-stationary Wave Turbulence
Bootstrapping Non-Stationary Stochastic Volatility
Non-stationary optical homodyne tomography
Learning in non-stationary Environments
Stationary Subspace Analysis: Towards understanding non-stationary data
Joint spectral radius and ternary hermite subdivision
Contributions to non-stationary sediment transport
Regularity of non-stationary subdivision: a matrix approach
Non-Stationary Multivariate Subdivision: Joint Spectral Radius and Asymptotic Similarity
Stationary subdivision
A new class of 2m-point binary non-stationary subdivision schemes
Family of odd point non-stationary subdivision schemes and their applications
Non-stationary Wave Turbulence
Bootstrapping Non-Stationary Stochastic Volatility
Non-stationary optical homodyne tomography
Learning in non-stationary Environments
Stationary Subspace Analysis: Towards understanding non-stationary data
Joint spectral radius and ternary hermite subdivision