Singularity detection and processing with wavelets
Explore this paper's citation graph
Summary
It is proven that the local maxima of the wavelet transform modulus detect the locations of irregular structures and provide numerical procedures to compute their Lipschitz exponents.
- Type
- article
- Published
- 1992-03-01
- Cited by
- 4,333
- References
- 30
- OpenAlex
- https://openalex.org/W2152328854
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:2661011
Keywords
Wavelet transform, Wavelet, Maxima, Maxima and minima, Mathematics
References
- Edge representation from wavelet transform maxima
- Edge and Curve Detection for Visual Scene Analysis
- Pointwise smoothness, two-microlocalization and wavelet coefficients
- Wavelets and multifractal formalism for singular signals: Application to turbulence data.
- The wavelet transform, time-frequency localization and signal analysis
- Theory of edge detection
- Characterization of Signals from Multiscale Edges
- Image Restoration by the Method of Convex Projections: Part 1ߞTheory
- Wavelet transform of multifractals.
- DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE
- Scale-space filtering: A new approach to multi-scale description
- A Computational Approach to Edge Detection
- Detection of abrupt changes in sound signals with the help of wavelet transforms
- Fractal Geometry of Nature
- Trigonometric Series
- The Fractal Geometry of Nature
- Wavelet analysis of fully developed turbulence data and measurement of scaling exponents
- Scale-Space Filtering
- A real-time algorithm for signal analysis with the help of the wavelet transform
- Regularite locale de la fonction “non-differentiable” de Riemann
Cited by
- Contrast enhancement of radiographs using shift invariant wavelet transform
- Image enhancement by nonlinear wavelet processing
- A generalized class of fractal-wavelet transforms for image representation and compression
- CT image enhancement with wavelet analysis for the detection of small airways disease
- Coding static natural images using spiking event times: do neurons Cooperate?
- Characterization of Dirac-structure edges with wavelet transform
- Preferred Sensor Selection for Damage Estimation in Civil Structures
- Wavelet filter for improving detection performance of compression-based joint transform correlator.
- Analysis of Vibration in gearbox sensor data using Lipschitz Exponent (LE) function: A Wavelet approach
- Nonlinear System Identification for Damage Detection
- Analyzing gene expression time-courses based on multi-resolution shape mixture model.
- A state space approach to the analysis of frames and wavelets
- Element analysis: a wavelet-based method for analysing time-localized events in noisy time series
- Framework for real-time traffic forecasting methodology under exogenous parameters
- Sampling technique in wavelet analysis of vibrating signals of rotating machinery
- Vector and Parallel Wavelet Transforms for the Analysis of Time-Varying Signals
- Markov Random field edge-centric image/video processing
- The Use of Wavelet Analysis for the Prognosis of Failures in Electric Motors
- Détection de l'Onde R d'un Electrocardiogramme Basée sur le Produit Multiéchelle
- A High Order Method for Determining the Edges in the Gradient of a Function
Related papers
- Wavelet transform based approach to harmonic analysis
- Comparisons of discrete wavelet transform, wavelet packet transform and stationary wavelet transform in denoising PD measurement data
- Optical separable wavelet transform
- Higher-density dyadic wavelet transform and its application
- Wavelet analysis of the ultrawideband signals
- Dual-Tree Complex Wavelet Transform in the problem of speech enhancement
- Wavelet packet transform and its application in harmonic current detection of power system
- Restoration of Environmental Noise Corrupted Speech Using Wavelet Transform
- Signal Decomposition Methods for Reducing Drawbacks of the DWT