High convergence rates of digital image transformation by numerical integration using spline functions

DOI10.1016/S0898-1221(01)85018-5zbMath0983.94004MaRDI QIDQ5948703

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Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

convergence ratesnumerical integrationpattern recognitionimage processingspline functionscycle conversionimage transformationssplitting-integration method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical integration (65D30)

Cites Work

• Analysis of discrete techniques for image transformation
• Quadratic interpolatory splines
• Optimal error bounds for cubic spline interpolation
• New discrete techniques for 3D image transformations
• Splitting-integrating methods for the image transformations \(T\) and \(T^{-1}T\)
• Advanced splitting-integrating methods with high convergence rates for restoring images and patterns
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