A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ten lectures on wavelets
Multi-scale finite-volume method for elliptic problems in subsurface flow simulation
Journal of Computational Physics
Sequential simulation with patterns
Sequential simulation with patterns
TiGenerator: Object-based training image generator
Computers & Geosciences
Considering complex training images with search tree partitioning
Computers & Geosciences
Journal of Computational Physics
A Two-Stage Cross Correlation Approach to Template Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Wavelet-based statistical signal processing using hidden Markovmodels
IEEE Transactions on Signal Processing
Segmentation of textured images using a multiresolution Gaussian autoregressive model
IEEE Transactions on Image Processing
A joint inter- and intrascale statistical model for Bayesian wavelet based image denoising
IEEE Transactions on Image Processing
Image denoising using scale mixtures of Gaussians in the wavelet domain
IEEE Transactions on Image Processing
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Conditional simulation of random fields based on integrating multi-scale spatial data using wavelets is detailed herein. Course scale data are first simulated using sequential Gaussian co-simulation. For all finer scales, wavelet coefficients are simulated by using a template matching algorithm borrowing information from a training image. Spatial up-scaling is performed through the inverse wavelet transformation. Examples using an exhaustive dataset show that the proposed method works well and is robust when changing the amount of hard data and resolution of secondary data. Sensitivity analysis shows that the selection of a suitable template size can improve the performance of the proposed method. A comparative study shows that the proposed algorithm is computationally faster than the well-known simpat and filtersim algorithms, as well as reasonably accurate in terms of reproduction of continuity in complex geologic environments.