Tangents and curvatures of matrix-valued subdivision curves and their applications to curve design

DOI10.1080/00036811.2015.1068298zbMath1354.65030OpenAlexW2397070586WikidataQ58304420 ScholiaQ58304420MaRDI QIDQ2825329

James J. Smith, Qingtang Jiang

Publication date: 7 October 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1068298

zbMATH Keywords

curvaturecurvesnormalmatrix-valued subdivision schemeshape control parameter

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Unnamed Item
• Matrix-valued 4-point spline and 3-point non-spline interpolatory curve subdivision schemes
• A 4-point interpolatory subdivision scheme for curve design
• Normals of the butterfly subdivision scheme surfaces and their applications
• Vector cascade algorithms and refinable function vectors in Sobolev spaces
• Biorthogonal multiwavelets on the interval: Cubic Hermite splines
• Convergence of vector subdivision schemes in Sobolev spaces
• Hermite subdivision schemes and Taylor polynomials
• Normal based subdivision scheme for curve design
• Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices
• Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices
• A butterfly subdivision scheme for surface interpolation with tension control
• Multivariate matrix refinable functions with arbitrary matrix dilation
• Noninterpolatory Hermite subdivision schemes
• Multivariate refinable Hermite interpolant
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

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