92 research outputs found
Benefits of consistency in image denoising with steerable wavelets
The steerable wavelet transform is a redundant image representation with the remarkable property that its basis functions can be adaptively rotated to a desired orientation. This makes the transform well-suited to the design of wavelet-based algorithms applicable to images with a high amount of directional features. However, arbitrary modification of the wavelet-domain coefficients may violate consistency constraints because a legitimate representation must be redundant. In this paper, by honoring the redundancy of the coefficients, we demonstrate that it is possible to improve the performance of regularized least-squares problems in the steerable wavelet domain. We illustrate that our consistent method significantly improves upon the performance of conventional denoising with steerable wavelets
A comprehensive study of sparse codes on abnormality detection
Sparse representation has been applied successfully in abnormal event
detection, in which the baseline is to learn a dictionary accompanied by sparse
codes. While much emphasis is put on discriminative dictionary construction,
there are no comparative studies of sparse codes regarding abnormality
detection. We comprehensively study two types of sparse codes solutions -
greedy algorithms and convex L1-norm solutions - and their impact on
abnormality detection performance. We also propose our framework of combining
sparse codes with different detection methods. Our comparative experiments are
carried out from various angles to better understand the applicability of
sparse codes, including computation time, reconstruction error, sparsity,
detection accuracy, and their performance combining various detection methods.
Experiments show that combining OMP codes with maximum coordinate detection
could achieve state-of-the-art performance on the UCSD dataset [14].Comment: 7 page
Joint Bilateral Filter for Signal Recovery from Phase Preserved Curvelet Coefficients for Image Denoising
Thresholding of Curvelet Coefficients, for image denoising, drains out subtle
signal component in noise subspace. This produces ringing artifacts near edges
and granular effect in the denoised image. We found the noise sensitivity of
Curvelet phases (in contrast to their magnitude) reduces with higher noise
level. Thus, we preserved the phase of the coefficients below threshold at
coarser scale and estimated their magnitude by Joint Bilateral Filtering (JBF)
technique from the thresholded and noisy coefficients. In the finest scale, we
apply Bilateral Filter (BF) to keep edge information. Further, the Guided Image
Filter (GIF) is applied on the reconstructed image to localize the edges and to
preserve the small image details and textures. The lower noise sensitivity of
Curvelet phase at higher noise strength accelerate the performance of proposed
method over several state-of-theart techniques and provides comparable outcome
at lower noise levels.Comment: 10 pages, 8 figures. 3 tables, journa
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