In this paper, a multi-scale image fusion method based on discrete wavelet frame (DWF) is proposed for merging a high-resolution panchromatic image and a low-resolution multispectral image. The downampling process is avoided by using discrete wavelet frame decomposition. It leads to translation invariant and is available for the image fusion. The lowfrequency part of the panchromatic image is d...

Recently, the reference functions for the synthesis and analysis of the autostereoscopic multiview and integral images in three-dimensional displays were introduced. In the current paper, we propose the wavelets to analyze such images. The wavelets are built on these reference functions as on the scaling functions of the wavelet analysis. The continuous wavelet transform was successfully applie...

A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous superpositions. Associated to a given continuous frame we construct certain Banach spaces. Many classical function spaces can be identified as such spaces. We provide a general method to derive Banach frames and atomic decompositions for these Banach spaces by sampling the...

Solid bony fusion of large joints affected with active chronic infections, is still the most effective surgical solution to establish a useful function of the affected limb. Even with extensive peri-articular bone loss and severe deformities, arthrodesis in a functional position can provide effective stability. The reported fusion rates in such patients are not encouraging however, and secondar...

Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of ...

We extend continuous assurance research by proposing a novel continuous assurance architecture grounded in information fusion research. Existing continuous assurance architectures focus primarily on methods of monitoring assurance clients’ systems to detect anomalous activities and have not addressed the question of how to process the detected anomalies. Consequently, actual implementations of ...