46 research outputs found

    Filtered Variation method for denoising and sparse signal processing

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    We propose a new framework, called Filtered Variation (FV), for denoising and sparse signal processing applications. These problems are inherently ill-posed. Hence, we provide regularization to overcome this challenge by using discrete time filters that are widely used in signal processing. We mathematically define the FV problem, and solve it using alternating projections in space and transform domains. We provide a globally convergent algorithm based on the projections onto convex sets approach. We apply to our algorithm to real denoising problems and compare it with the total variation recovery

    Special issue on microscopic image processing

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    Computational methods in skin confocal microscopy

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    Interest in clinical use of reflectance confocal microscopy (RCM) has recently been increased, with its successful demonstration of effectiveness in diagnostic and surgical guidance. However, this initial success is currently limited to experienced clinicians, who adopted RCM imaging at early stages and have been using it for research and clinical screening purposes for a while. On the other hand, a majority of the new cohort of users is rather interested in using RCM mostly in clinical practice, where time pressure and strict regulations exist. The current system is manual and depends highly on the experience of the users. This typically leads to variability both in RCM image acquisition and analysis. Therefore, standardized protocols for rapid and consistent imaging as well as standardized image analysis tools to guide patient care must be developed. Beyond the medical needs for such procedures that are described in the other chapters, in this chapter, we will further look into the technical side of the problem and demonstrate how the clinical needs can be dealt with using computer-aided tools, such as computer vision and machine learning algorithms
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