Recently, the multiscale signal and image processing community has recognized that a suitable model for multiresolution processes is a model with time-like variable indexed by the nodes on a homogeneous tree with different depths in the tree corresponding to different spatial scales associated with the signal or image. It turns out that these system models are close relatives of the Structured ...

In contrast to the all-discrete approaches that dominated image processing in the recent past, in computer vision since the mid 1980’s there have been proposed continuous models for several vision tasks based on partial differential equations (PDEs). The discrete part of such approaches comes only in the corresponding difference equations (numerical algorithms) that approximate the solution of ...

In this paper we consider how to annotate or label regions of grey-level or multispectral images based upon known labels and a set of interacting hierarchical doubly stochastic processes. The proposed model extends current work on the use of hierarchical Markovian models for image processing using multiscale representations. In this paper we explore a new bijective up-down algorithm whereby the...

Searching an image for the occurrence of a pattern or a template is an essential step in a number of image processing applications. We propose a new multiresolution matching criterion based on the generalized log likelihood ratio. We also developed a multiscale search technique which facilitates finding the best solution by searching a small subset of the entire set of possible template locatio...

Based on the class of complex gradient-Laplace operators, we show the design of a non-separable two-dimensional wavelet basis from a single and analytically defined generator wavelet function. The wavelet decomposition is implemented by an efficient FFT-based filterbank. By allowing for slight redundancy, we obtain the Marr wavelet pyramid decomposition that features improved translation-invari...

In this paper we consider how to annotate or label regions of grey-level or multispectral images based upon known labels and a set of interacting hierarchical doubly stochastic processes. The proposed model extends current work on the use of hidden Markov models for image processing using multiscale representations. In this paper we explore a new bijective up-down algorithm whereby the spatio-s...

As the information carried in a high spatial resolution image is not represented by single pixels but by meaningful image objects, which include the association of multiple pixels and their mutual relations, the object based method has become one of the most commonly used strategies for the processing of high resolution imagery. This processing comprises two fundamental and critical steps towar...

A robust blind watermarking scheme using wave atoms is proposed. The watermark is embedded in the wave atom transform domain by modifying one of the scale bands. The detection and extraction procedures do not need the original host image. We tested the proposed algorithm against common image processing attacks like JPEG compression, Gaussian noise addition, median filtering, and salt and pepper...

Hybrid images are static pictures with two interpretations that change depending on the image’s viewing distance or size. The phenomenon of hybrid images arises from the multiscale processing of images in the human visual system. By taking into account perceptual grouping mechanisms, one can build compelling hybrid images with two different stable interpretations: one that appears when the imag...