Generalized Sampling Approximation for Multivariate Discontinuous Signals and Applications to Image Processing

DOI10.1007/978-3-319-08801-3_5zbMath1358.41022OpenAlexW171103227MaRDI QIDQ5249766

Jörg Vautz, Gianluca Vinti, Rudolf L. Stens, Ilaria Mantellini, Carlo Bardaro

Publication date: 12 May 2015

Published in: New Perspectives on Approximation and Sampling Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08801-3_5

zbMATH Keywords

image processingmultivariate approximationsampling seriessampling operatorbiomedical imagescompactly supported kernelmultivariate sampling approximation

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Multidimensional problems (41A63) Approximation by arbitrary linear expressions (41A45)

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Cites Work

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• The sampling theorem and linear prediction in signal analysis
• Jackson-type theorems for best one-sided approximations by trigonometrical polynomials and splines
• Mathematical Methods in Image Reconstruction
• Approximation by Smooth Multivariate Splines
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• Sampling approximation of continuous functions with multidimensional domain (Corresp.)
• Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals
• The Shannon Sampling Series and the Reconstruction of Signals in Terms of Linear, Quadratic and Cubic Splines
• Recurrence Relations for Multivariate B-Splines
• Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
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