Detection of edges in spectral data III-refinement of the concentration method

DOI10.1007/s10915-007-9170-8zbMath1203.94009OpenAlexW2087312929MaRDI QIDQ618370

Dennis Cates, Anne Gelb

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-007-9170-8

zbMATH Keywords

convolutionGaussian noisefilteringedge detectionpiecewise smooth functionsFourier data

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Inference from stochastic processes and spectral analysis (62M15) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (17)

Non-linear stabilization of high-order flux reconstruction schemes via Fourier-spectral filtering ⋮ Gegenbauer reconstruction method with edge detection for multi-dimensional uncertainty propagation ⋮ Edge detection by adaptive splitting ⋮ Fourier-informed knot placement schemes for B-spline approximation ⋮ Edge detection free postprocessing for pseudospectral approximations ⋮ Sparsity enforcing edge detection method for blurred and noisy Fourier data ⋮ Admissible concentration factors for edge detection from non-uniform Fourier data ⋮ Edge detection from truncated Fourier data using spectral mollifiers ⋮ High Order Edge Sensors with $\ell^1$ Regularization for Enhanced Discontinuous Galerkin Methods ⋮ Hypothesis testing for Fourier based edge detection methods ⋮ Iterative design of concentration factors for jump detection ⋮ Spectral methods in the presence of discontinuities ⋮ Evolution of a shock generated by an impulsively accelerated, sinusoidal piston ⋮ Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods ⋮ Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm ⋮ An improved fifth-order nonlinear spectral difference scheme for hyperbolic conservation laws ⋮ Determination of a jump by conjugate Fourier-Jacobi series

Cites Work

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• Robust reprojection methods for the resolution of the Gibbs phenomenon
• A practical assessment of spectral accuracy for hyperbolic problems with discontinuities
• Family of spectral filters for discontinuous problems
• Detection of edges in spectral data
• Exponentially accurate approximations to periodic Lipschitz functions based on Fourier series partial sums
• Determination of the jumps of a bounded function by its Fourier series
• Towards the resolution of the Gibbs phenomena.
• Reducing the effects of noise in image reconstruction
• Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information
• Enhanced spectral viscosity approximations for conservation laws
• Adaptive edge detectors for piecewise smooth data based on the minmod limiter
• Detecting derivative discontinuity locations in piecewise continuous functions from Fourier spectral data
• Detection of Edges in Spectral Data II. Nonlinear Enhancement
• Optimal filter and mollifier for piecewise smooth spectral data
• Spectral Methods for Time-Dependent Problems
• Authenticating edges produced by zero-crossing algorithms
• Singularity detection and processing with wavelets
• On the Gibbs Phenomenon and Its Resolution
• On a high order numerical method for functions with singularities
• Accurate Reconstructions of Functions of Finite Regularity from Truncated Fourier Series Expansions

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