6533b824fe1ef96bd128083b

RESEARCH PRODUCT

A nonlinear Chaikin-based binary subdivision scheme

Dionisio F. YáñezRosa Donat

subject

Nonlinear subdivisionScheme (programming language)business.industryApplied MathematicsMathematicsofComputing_NUMERICALANALYSISBinary numberComputer Science::Computational GeometryComputational MathematicsNonlinear systemMetric (mathematics)Convergence (routing)Applied mathematicsbusinesscomputerComputingMethodologies_COMPUTERGRAPHICSMathematicsSubdivisioncomputer.programming_language

description

Abstract In this work we introduce and analyze a new nonlinear subdivision scheme based on a nonlinear blending between Chaikin’s subdivision rules and the linear 3-cell subdivision scheme. Our scheme seeks to improve the lack of convergence in the uniform metric of the nonlinear scheme proposed in Amat et al. (2012), where the authors define a cell-average version of the PPH subdivision scheme (Amat et al., 2006). The properties of the new scheme are analyzed and its performance is illustrated through numerical examples.

yearjournalcountryeditionlanguage
2019-03-01Journal of Computational and Applied Mathematics
https://doi.org/10.1016/j.cam.2018.09.017