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Showing 1 to 8 of 8 for “"shearlet"”.
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DIRECTIONAL MULTISCALE ANALYSIS USING SHEARLET THEORY AND APPLICATIONS
Shearlets emerged in recent years in applied harmonic analysis as a general framework to provide sparse representations of multidimensional data. This construction was motivated by the need to provide more efficient algorithms for data analysis and processing, overcoming the limitations of …
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Smooth Projections and Optimally Sparse Representation of Cartoon-like Cylindrical Solids
… and compression. Inspired by the success of shearlets -- a multiscale sparse representation framework for analysing multivariate data -- we introduce a new variant, called cylindrical shearlets. This system is especially designed to provide sparse representations of functions in the class …
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The Nonexistence of Shearlet-Like Scaling Multifunctions that Satisfy Certain Minimally Desirable Properties and Characterizations of the Reproducing Properties of the Integer Lattice Translations of a Countable Collection of Square Integrable Functions
… <p>In Chapter 5, we prove the nonexistence of shearlet-like scaling multifunctions that satisfy a minimal amount of decay and either a minimal amount of regularity or one of two “finite type” conditions.</p> <p>In Chapter 6, we indicate a number of interesting questions that arise from the …
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Vibration Extraction Using Rolling Shutter Cameras
… phase matching approach in the complex-valued Shearlet transform domain. So far the only way to process rolling shutter video for vibration extraction is with the Steerable Pyramid in a motion magnification framework. However, the Shearlet transform is well localized in scale, location and …
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Prior Information Guided Image Processing and Compressive Sensing
… only able to detect locations of singularities, shearlet transform can efficiently provide more geometric information of singularities in images, e.g. direction. Therefore we adopt the shearlet transform to boost the sparsity in image reconstruction algorithms. In addition, our work in …
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Feature extraction in image processing and deep learning
… Anisotropic representation of data using the Shearlet transform is also explored in its ability to detect regions of interests of nuclei in cancer images.
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Curvature Detection by Integral Transforms
… we introduce an extension of the continuous shearlet transform which additionally utilizes shears of higher order. This extension, called the Taylorlet transform, allows for a detection of the position and orientation, as well as the curvature and other higher order geometric information of …
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Dealing with challenges related to automated high-throughput hyperspectral imaging for assessment of tea products
… removal of noise from the HS images. The shearlet-based de-noising method improved the classification accuracy by 11% and 19% compared to Savitzky Golay and median filtering, respectively. The total variation based de-noising method removed the dead strips from HS images, which is not …