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• W2950434959 abstract "We introduce a family of piecewise-exponential functions that have the Hermite interpolation property. Our design is motivated by the search for an effective scheme for the joint interpolation of points and associated tangents on a curve with the ability to perfectly reproduce ellipses. We prove that the proposed Hermite functions form a Riesz basis and that they reproduce prescribed exponential polynomials. We present a method based on Green's functions to unravel their multi-resolution and approximation-theoretic properties. Finally, we derive the corresponding vector and scalar subdivision schemes, which lend themselves to a fast implementation. The proposed vector scheme is interpolatory and level-dependent, but its asymptotic behaviour is the same as the classical cubic Hermite spline algorithm. The same convergence properties---i.e., fourth order of approximation---are hence ensured." @default.
• W2950434959 created "2019-06-27" @default.
• W2950434959 creator A5023683197 @default.
• W2950434959 creator A5027830035 @default.
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• W2950434959 date "2014-11-17" @default.
• W2950434959 modified "2023-10-01" @default.
• W2950434959 title "Ellipse-preserving Hermite interpolation and subdivision" @default.
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• W2950434959 hasPublicationYear "2014" @default.
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