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Generalized sampling expansion for the quaternion linear canonical transform
The theory of quaternions has gained firm ground in recent times and is being widely explored, with the field of signal and image processing being no...
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A Gaussian regularization for derivative sampling interpolation of signals in the linear canonical transform representations
The linear canonical transform (LCT) plays an important role in signal and image processing from both theoretical and practical points of view....
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Convolution and correlation theorems for Wigner–Ville distribution associated with the quaternion offset linear canonical transform
The quaternion offset linear canonical transform (QOLCT) has gained much popularity in recent years because of its applications in many areas,...
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Cryptanalysis of DRPE using complex S-Box based on linear canonical transform
During recent decades, double random phase encoding grasped more attention for researchers. To achieve nonlinearity, it had been done with random...
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Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonical transforms
The main purpose of this paper is to study different types of sampling formulas of quaternionic functions, which are bandlimited under various...
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Quadratic Phase Quaternion Domain Fourier Transform
Based on the quaternion domain Fourier transform (QDFT) of 2016 and the quadratic-phase Fourier transform of 2018, we introduce the quadratic-phase...
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Discrete combined fractional Fourier transform and its application to image enhancement
Many generalizations of the Fourier transform (FT) have been introduced in the literature, including fractional Fourier transform (FrFT) and linear...
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Sampling and multiplicative filtering associated with the quadratic-phase Fourier transform
The quadratic-phase Fourier transform is a recent addition to the class of quadratic-phase integral transforms and embodies several signal processing...
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A new kind of convolution, correlation and product theorems related to quaternion linear canonical transform
The quaternion linear canonical transform (QLCT) has been investigated and used for many years by various research communities; it has been shown to...
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Canonical Scattering Regimes for Bxdf
This chapter describes canonical examples of isotropic and fully opaque material BRDFs: emissive, diffuse, specular, and plastic, as simplified Bxdf...
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Uncertainty relations of the complex signals from generalized Hilbert transform on LCT
It is well known that as the generalized case for Fourier transform (FT) and fractional Fourier transform (FrFT), the linear canonical transform...
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Robust generalized canonical correlation analysis
Generalized canonical correlation analysis (GCCA) has been widely used for classification and regression problems. The key idea of GCCA is to map the...
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Distributing and Parallelizing Non-canonical Loops
This work leverages an original dependency analysis to parallelize loops regardless of their form in imperative programs. Our algorithm distributes a...
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Convolution based quadratic-phase Stockwell transform: theory and uncertainty relations
In the field of optics and signal processing, the novel quadratic-phase Fourier transform (QPFT) has emerged as a powerful tool. However, it has a...
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Invariant Scattering Transform for Medical Imaging
Over the years, the Invariant Scattering Transform (IST) technique has become popular for medical image analysis, including using wavelet transform...
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Mask focal loss: a unifying framework for dense crowd counting with canonical object detection networks
As a fundamental computer vision task, crowd counting plays an important role in public safety. Currently, deep learning based head detection is a...
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A Comparative Study on Canonical Correlation Analysis-Based Multi-feature Fusion for Palmprint Recognition
Contactless palmprint recognition provides high-accuracy and friendly experience for users without directly contacting the recognition device....
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Plaintext Related Optical Image Hybrid Encryption Based on Fractional Fourier Transform and Generalized Chaos of Multiple Controlling Parameters
Combining optical image encryption with digital image encryption, we propose a composed optical image hybrid encryption scheme in this paper. The...
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Autoregressive 3D Shape Generation via Canonical Map**
With the capacity of modeling long-range dependencies in sequential data, transformers have shown remarkable performances in a variety of generative...