Phase asymmetry guided adaptive fractional-order total variation and diffusion for feature-preserving ultrasound despeckling

It is essential for ultrasound despeckling to remove speckle noise while simultaneously preserving edge features for accurate diagnosis and analysis in many applications. To preserve real edges such as ramp edges and low contrast edges, we first detect edges using a phase-based measure called phase asymmetry (PAS), which can distinguish small differences in transition border regions and varies from $0$ to $1$, taking $0$ in ideal smooth regions and taking $1$ at ideal step edges. We further propose three strategies to properly preserve edges. First, in observing that fractional-order anisotropic diffusion (FAD) filter has good performance in smooth regions while the fractional-order TV (FTV) filter performs better at edges, we leverage the PAS metric to keep a balance between FAD filter and FTV filter for achieving the best performance of preserving ramp edges. Second, considering that the FAD filter fails to protect low contrast edges by solely integrating gradient information into the diffusion coefficient, we integrate the PAS metric into the diffusion coefficient to properly preserve low contrast edges. Finally, different from fixed fractional order diffusion filters neglecting the differences between smooth regions and transition border regions, an adaptive fractional order is implemented based on the PAS metric to enhance edges. The experimental results show that our method outperforms other state-of-the-art ultrasound despeckling filters in both speckle reduction and feature preservation

Orthogonal Features-based EEG Signal Denoising using Fractionally Compressed AutoEncoder

A fractional-based compressed auto-encoder architecture has been introduced to solve the problem of denoising electroencephalogram (EEG) signals. The architecture makes use of fractional calculus to calculate the gradients during the backpropagation process, as a result of which a new hyper-parameter in the form of fractional order ($\alpha$) has been introduced which can be tuned to get the best denoising performance. Additionally, to avoid substantial use of memory resources, the model makes use of orthogonal features in the form of Tchebichef moments as input. The orthogonal features have been used in achieving compression at the input stage. Considering the growing use of low energy devices, compression of neural networks becomes imperative. Here, the auto-encoder's weights are compressed using the randomized singular value decomposition (RSVD) algorithm during training while evaluation is performed using various compression ratios. The experimental results show that the proposed fractionally compressed architecture provides improved denoising results on the standard datasets when compared with the existing methods.Comment: 9 pages, 8 figures, 26 reference

Expressway visibility estimation based on image entropy and piecewise stationary time series analysis

Vision-based methods for visibility estimation can play a critical role in reducing traffic accidents caused by fog and haze. To overcome the disadvantages of current visibility estimation methods, we present a novel data-driven approach based on Gaussian image entropy and piecewise stationary time series analysis (SPEV). This is the first time that Gaussian image entropy is used for estimating atmospheric visibility. To lessen the impact of landscape and sunshine illuminance on visibility estimation, we used region of interest (ROI) analysis and took into account relative ratios of image entropy, to improve estimation accuracy. We assume fog and haze cause blurred images and that fog and haze can be considered as a piecewise stationary signal. We used piecewise stationary time series analysis to construct the piecewise causal relationship between image entropy and visibility. To obtain a real-world visibility measure during fog and haze, a subjective assessment was established through a study with 36 subjects who performed visibility observations. Finally, a total of two million videos were used for training the SPEV model and validate its effectiveness. The videos were collected from the constantly foggy and hazy Tongqi expressway in Jiangsu, China. The contrast model of visibility estimation was used for algorithm performance comparison, and the validation results of the SPEV model were encouraging as 99.14% of the relative errors were less than 10%