Scattered data approximation by regular grid weighted smoothing

DOI10.1007/s12046-017-0765-yzbMath1391.65035OpenAlexW2793614411MaRDI QIDQ724633

Muthuvel Arigovindan, Bibin Francis, Sanjay Viswanath

Publication date: 26 July 2018

Published in: Sādhanā (Search for Journal in Brave)

Full work available at URL: https://www.ias.ac.in/describe/article/sadh/043/01/0005

zbMATH Keywords

radial basis functionsconjugate gradient algorithmscattered data approximationthin-plate splinesmulti-resolution approachvariational reconstruction

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Nonparametric estimation (62G05) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical algorithms for specific classes of architectures (65Y10)

Uses Software

• Matlab

Cites Work

• Scattered data interpolation and approximation using bivariate \(C^{1}\) piecewise cubic polynomials
• Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
• Stable Evaluation of Gaussian Radial Basis Function Interpolants
• Computational Aspects of Radial Basis Function Approximation
• Fast Reconstruction Methods for Bandlimited Functions from Periodic Nonuniform Sampling
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Smooth interpolation of large sets of scattered data
• Fast Multiresolution Algorithms for Matrix-Vector Multiplication
• Radial Basis Functions
• Variational principles, surface evolution, PDEs, level set methods, and the stereo problem
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