Results 1 to 10 of about 89 (85)
Shearlet Smoothness Spaces [PDF]
Journal of Fourier Analysis and Applications, 2013 The shearlet representation has gained increasingly more prominence in recent years as a flexible and efficient mathematical framework for the analysis of anisotropic phenomena. This is achieved by combining traditional multiscale analysis with a superior ability to handle directional information.
Demetrio Labate
exaly +3 more sources
Convex multiclass segmentation with shearlet regularization [PDF]
International Journal of Computer Mathematics, 2013 Segmentation plays an important role in many preprocessing stages in image processing. Recently, convex relaxation methods for image multi-labeling were proposed in the literature. Often these models involve the total variation (TV) semi-norm as regularizing term.
Gabriele Steidl, Sören Häuser
exaly +4 more sources
Abstract Shearlet Transform [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015 In this paper, the shearlet theory is extended from Euclidean spaces to locally compact groups. More precisely, the abstract shearlet group is defined as a 3-fold semidirect product and the abstract shearlet transform is constructed by means of a quasiregular representation of the semidirect product group.
Kamyabi-Gol, R.A., Atayi, V.
openaire +3 more sources
Advanced Intelligent Systems, Volume 5, Issue 11, November 2023., 2023 Expectation‐maximization algorithm generative adversarial network (EMA‐GAN) is proposed to fuse images from different modalities. This is an EM learning framework based on GAN that maximizes the likelihood of fused results and estimates potential variables.
Xiuliang Xi +5 more
wiley +1 more source
Digital Shearlet Transforms [PDF]
, 2012 Over the past years, various representation systems which sparsely approximate functions governed by anisotropic features such as edges in images have been proposed. We exemplarily mention the systems of contourlets, curvelets, and shearlets. Alongside the theoretical development of these systems, algorithmic realizations of the associated transforms ...
Wang-Q Lim +2 more
openaire +4 more sources
Deep learning: Applications, architectures, models, tools, and frameworks: A comprehensive survey
CAAI Transactions on Intelligence Technology, Volume 8, Issue 3, Page 581-606, September 2023., 2023 Abstract Deep Learning (DL) is a subfield of machine learning that significantly impacts extracting new knowledge. By using DL, the extraction of advanced data representations and knowledge can be made possible. Highly effective DL techniques help to find more hidden knowledge.
Mehdi Gheisari +10 more
wiley +1 more source
Different Faces of the Shearlet Group [PDF]
The Journal of Geometric Analysis, 2015 Recently, shearlet groups have received much attention in connection with shearlet transforms applied for orientation sensitive image analysis and restoration. The square integrable representations of the shearlet groups provide not only the basis for the shearlet transforms but also for a very natural definition of scales of smoothness spaces, called ...
Dahlke, Stephan +5 more
openaire +4 more sources
River boundary detection and autonomous cruise for unmanned surface vehicles
IET Image Processing, Volume 17, Issue 11, Page 3196-3215, 18 September 2023., 2023 The detection of river boundaries is important for judging the drivable area of USVs, and it can also be utilized to ensure driving safety by limiting the effective drivable areas of the USVs in the river areas. This work proposes a real‐time detection method for river boundaries based on a LiDAR sensor to detect the boundaries of incompletely ...
Kai Zhang +5 more
wiley +1 more source
Inhomogeneous shearlet coorbit spaces [PDF]
International Journal of Wavelets, Multiresolution and Information Processing, 2018 In this paper, we establish inhomogeneous coorbit spaces related to the continuous shearlet transform and the weighted Lebesgue spaces [Formula: see text] for certain weights [Formula: see text]. We present an inhomogeneous shearlet frame for [Formula: see text] which gives rise to a reproducing kernel [Formula: see text] that is not contained in the ...
Fabian Feise, Lukas Sawatzki
openaire +3 more sources
Embeddings of anisotropic Besov spaces into Sobolev spaces
Mathematische Nachrichten, Volume 296, Issue 4, Page 1380-1393, April 2023., 2023 Abstract We study the embeddings of (homogeneous and inhomogeneous) anisotropic Besov spaces associated to an expansive matrix A into Sobolev spaces, with a focus on the influence of A on the embedding behavior. For a large range of parameters, we derive sharp characterizations of embeddings.
David Bartusel, Hartmut Führ
wiley +1 more source