New models and nonlinear filters of image restoration. - Artyom M. Grigoryan; Sos S. Agaian (Electronic Imaging: Nonlinear Image Processing, 1996)

Robustness of optimal binary filters. - Artyom M. Grigoryan; Edward R. Dougherty (J. Electronic Imaging, 1998)

Design and Analysis of Robust Binary Filters in the Context of a Prior Distribution for the States of Nature. - Artyom M. Grigoryan; Edward R. Dougherty (J. Math. Imaging Vis., 1999)

Fibonacci thresholding, signal representation and morphological filters. - Artyom M. Grigoryan; Sos S. Agaian; Edward R. Dougherty (EUSIPCO, 2000)

Three Algorithms for Computing the 2-D Discrete Hartley Transform. - Artyom M. Grigoryan; Sos S. Agaian (ICIP, 2000)

Split manageable efficient algorithm for Fourier and Hadamard transforms. - Artyom M. Grigoryan; Sos S. Agaian (IEEE Trans. Signal Process., 2000)

Bayesian robust optimal linear filters. - Artyom M. Grigoryan; Edward R. Dougherty (Signal Process., 2001)

Transform-based image enhancement algorithms with performance measure. - Sos S. Agaian; Karen A. Panetta; Artyom M. Grigoryan (IEEE Trans. Image Process., 2001)

2-D and 1-D multipaired transforms: frequency-time type wavelets. - Artyom M. Grigoryan (IEEE Trans. Signal Process., 2001)

Shifted Fourier transform-based tensor algorithms for the 2-D DCT. - Artyom M. Grigoryan; Sos S. Agaian (IEEE Trans. Signal Process., 2001)

Optimization of linear filters under power-spectral-density stabilization. - Artyom M. Grigoryan; Edward R. Doughelly (IEEE Trans. Signal Process., 2001)

Automatic counting of illuminated spheres in a random Boolean model. - Artyom M. Grigoryan; Edward R. Dougherty (Image Processing: Algorithms and Systems, 2002)

A New Method Of Optimal Coding. - Artyom M. Grigoryan; Emma E. Regentova (ITCC, 2002)

Simulation Toolbox for 3D-FISH Spot-Counting Algorithms. - Artyom M. Grigoryan; Galen Hostetter; Olli-P. Kallioniemi; Edward R. Dougherty (Real Time Imaging, 2002)

Efficient algorithms for computing the 2-D hexagonal Fourier transforms. - Artyom M. Grigoryan (IEEE Trans. Signal Process., 2002)

A novel method of splitting the 3D discrete Hartley transform. - Artyom M. Grigoryan; Sos S. Agaian; Arthur R. Manukyan (ICIP (1), 2003)

Nontraditional cross sections and morphological operations. - Artyom M. Grigoryan (Image Processing: Algorithms and Systems, 2003)

Tensor form of image representation: enhancement by image-signals. - Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2003)

Method of paired transforms for reconstruction of images from projections: discrete model. - Artyom M. Grigoryan (IEEE Trans. Image Process., 2003)

Implementation of the DFT Using Radix-2 and Paired Transform Algorithms. - Narayanam Ranganadh; Parimal Patel; Artyom M. Grigoryan (CAINE, 2004)

Method of arithmetical thresholding of images. - Fatma Arslan; James G. Vital; Artyom M. Grigoryan (Image Processing: Algorithms and Systems, 2004)

Parameterized reversible integer discrete cosine transforms. - Veerabhadra S. Bhamidipati; Artyom M. Grigoryan (Image Processing: Algorithms and Systems, 2004)

Image Enhancement by The Tensor Transform. - Artyom M. Grigoryan; Fatma Arslan (ISBI, 2004)

New Method of Image Reconstruction from Projections. - Artyom M. Grigoryan; Shih-Chia Liu (ISBI, 2004)

Lossless Encoding Based on Redistribution of Statistics. - Artyom M. Grigoryan; Serkan Dursun; Emma E. Regentova (ITCC (2), 2004)

A novel algorithm for computing the 1-D discrete Hartley transform. - Artyom M. Grigoryan (IEEE Signal Process. Lett., 2004)

Method of image enhancement by splitting-signals. - Fatma Arslan; Artyom M. Grigoryan (ICASSP (4), 2005)

Multiresolution of the Fourier transform. - Artyom M. Grigoryan; Serkan Dursun (ICASSP (4), 2005)

New methods of image enhancement. - Fatma Arslan; Joann M. Moreno; Artyom M. Grigoryan (Visual Information Processing, 2005)

An algorithm for calculation of the discrete cosine transform by paired transform. - Artyom M. Grigoryan (IEEE Trans. Signal Process., 2005)

Fourier transform representation by frequency-time wavelets. - Artyom M. Grigoryan (IEEE Trans. Signal Process., 2005)

Method of flow graph simplification for the 16-point discrete Fourier transform. - Artyom M. Grigoryan; Veerabhadra S. Bhamidipati (IEEE Trans. Signal Process., 2005)

Nonlinear Approach Of Construction of Fast Unitary Transforms. - Artyom M. Grigoryan; Merughan M. Grigoryan (CISS, 2006)

New method of calculation of reversible integer 1D DCTs. - Artyom M. Grigoryan; Veerabhadra S. Bhamidipati; Srikrishna Alla (Image Processing: Algorithms and Systems, 2006)

α-rooting image enhancement by paired splitting-signals. - Fatma Arslan; Artyom M. Grigoryan (ISBI, 2006)

Novel method of tensor representation for reconstruction of 3D PET images from projections. - Srikrishna Alla; Joann M. Moreno; Artyom M. Grigoryan (Visual Information Processing, 2006)

Paired directional transform-based methods of image enhancement. - Fatma Arslan; Joann M. Moreno; Artyom M. Grigoryan (Visual Information Processing, 2006)

Representation of the Fourier Transform by Fourier Series. - Artyom M. Grigoryan (J. Math. Imaging Vis., 2006)

Fast Splitting alpha-Rooting Method of Image Enhancement: Tensor Representation. - Fatma Arslan; Artyom M. Grigoryan (IEEE Trans. Image Process., 2006)

Enhancement of Medical Images by the Paired Transform. - Fatma Arslan; Artyom M. Grigoryan (ICIP (1), 2007)

Novel Reversible Integer Fourier Transform With Control Bits. - Artyom M. Grigoryan (IEEE Trans. Signal Process., 2007)

Reversible integer 2D Fourier transform. - Elias Gonzalez; Artyom M. Grigoryan (Image Processing: Algorithms and Systems, 2009)

Decomposition by series direction images: image reconstruction and enhancement. - Artyom M. Grigoryan (Image Processing: Algorithms and Systems, 2009)

Discrete integer Fourier transform in real space: elliptic Fourier transform. - Artyom M. Grigoryan; Merughan M. Grigoryan (Image Processing: Algorithms and Systems, 2009)

Elliptic Discrete Fourier Transforms of Type II. - Artyom M. Grigoryan (SMC, 2009)

New formula for image reconstruction from projections by the 2-D paired transformation. - Artyom M. Grigoryan; Nan Du (SMC, 2009)

Mixed Fourier transforms and image encryption. - Artyom M. Grigoryan; Sree Devineni; Nan Du (SMC, 2009)

Fast Signal-Induced Transforms in Image Enhancement. - Artyom M. Grigoryan; Khalil Naghdali; Ranjith Raghunath (SMC, 2009)

On a Method of Paired Representation: Enhancement and Decomposition by Series Direction Images. - Artyom M. Grigoryan; Khalil Naghdali (J. Math. Imaging Vis., 2009)

Paired transform method of image reconstruction from projections. - Nan Du; Artyom M. Grigoryan (CompIMAGE Special Track, 2010)

Paired Transform Slice Theorem of 2-D Image Reconstruction from Projections. - Serkan Dursun; Nan Du; Artyom M. Grigoryan (ICPR, 2010)

Reversible Interger 2-D Discrete Fourier Transform by Control Bits. - Serkan Dursun; Artyom M. Grigoryan (ICPR, 2010)

Nonlinear L2-by-3 transform for PAPR reduction in OFDM systems. - Serkan Dursun; Artyom M. Grigoryan (Comput. Electr. Eng., 2010)

Two-dimensional images in frequency-time representation: direction images and resolution map. - Artyom M. Grigoryan; Nan Du (J. Electronic Imaging, 2010)

16-point reversible integer discrete Fourier transform with 12 control bits. - Artyom M. Grigoryan (IEEE Trans. Signal Process., 2010)

Comments on "The discrete periodic radon transform". - Artyom M. Grigoryan (IEEE Trans. Signal Process., 2010)

Comments on "Generalised finite Radon transform for N × N images". - Artyom M. Grigoryan; Nan Du (Image Vis. Comput., 2011)

Two Classes of Elliptic Discrete Fourier Transforms: Properties and Examples. - Artyom M. Grigoryan (J. Math. Imaging Vis., 2011)

Principle of Superposition by Direction Images. - Artyom M. Grigoryan; Nan Du (IEEE Trans. Image Process., 2011)

Reconstruction of the image on the Cartesian lattice from a finite number of projections in computed-tomographic imaging. - Nan Du; Yusheng Feng; Artyom M. Grigoryan (Multimedia Content and Mobile Devices, 2013)

Method of G-particles for image reconstruction from a finite number of projections. - Artyom M. Grigoryan; Nan Du (Multimedia Content and Mobile Devices, 2013)

Image Reconstruction From Finite Number of Projections: Method of Transferring Geometry. - Artyom M. Grigoryan (IEEE Trans. Image Process., 2013)

Novel tensor transform-based method of image reconstruction from limited-angle projection data. - Artyom M. Grigoryan; Nan Du (Computational Imaging, 2014)

Alpha-rooting method of color image enhancement by discrete quaternion Fourier transform. - Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2014)

Fibonacci thresholding: signal representation and morphological filters. - Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2014)

A novel method of filtration by the discrete heap transforms. - Artyom M. Grigoryan; Mehdi Hajinoroozi (Image Processing: Algorithms and Systems, 2014)

Machine learning and image processing in astronomy with sparse data sets. - John Jenkinson; Artyom M. Grigoryan; Mehdi Hajinoroozi; Raquel Díaz-Hernández; Hayde Peregrina-Barreto; Ariel Ortiz Esquivel; Leopoldo Altamirano Robles; Vahram Chavushyan (SMC, 2014)

Fast Retinex for color image enhancement: methods and algorithms. - Analysa M. Gonzales; Artyom M. Grigoryan (MOBMU, 2015)

Fast heap transform-based QR-decomposition of real and complex matrices: algorithms and codes. - Artyom M. Grigoryan (MOBMU, 2015)

Fourier transforms with rotations on circles or ellipses in signal and image processing. - Artyom M. Grigoryan (MOBMU, 2015)

Optimal color image restoration: Wiener filter and quaternion Fourier transform. - Artyom M. Grigoryan; Sos S. Agaian (MOBMU, 2015)

Tensor representation of color images and fast 2D quaternion discrete Fourier transform. - Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2015)

Algorithms of the q2r×q2r-point 2D discrete Fourier transform. - Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2015)

New 2D discrete Fourier transforms in image processing. - Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2015)

Enhancement of galaxy images for improved classification. - John Jenkinson; Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2015)

Monotonic sequences for image enhancement and segmentation. - Artyom M. Grigoryan; Sos S. Agaian (Digit. Signal Process., 2015)

Tensor transform-based quaternion fourier transform algorithm. - Artyom M. Grigoryan; Sos S. Agaian (Inf. Sci., 2015)

Quaternion Fourier transform based alpha-rooting method for color image measurement and enhancement. - Artyom M. Grigoryan; John Jenkinson; Sos S. Agaian (Signal Process., 2015)

2-D Left-Side Quaternion Discrete Fourier Transform: Fast Algorithm. - Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2016)

Zonal-Alpha-Rooting Color Image Enhancement by the Two-Side 2D Quaternion Discrete Fourier Transform. - Artyom M. Grigoryan; Aparna John; Sos S. Agaian (Image Processing: Algorithms and Systems, 2016)

Solution of the Problem on Image Reconstruction in Computed Tomography. - Artyom M. Grigoryan (J. Math. Imaging Vis., 2016)

Optimal Wiener and homomorphic filtration: Review. - Artyom M. Grigoryan; Edward R. Dougherty; Sos S. Agaian (Signal Process., 2016)

New Look on q2r-Point Fast Fourier Transforms. - Artyom M. Grigoryan; Sos S. Agaian (IEEE Trans. Signal Process., 2016)

Alpha-Rooting Method of Gray-scale Image Enhancement in The Quaternion Frequency Domain. - Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2017)

Modified Alpha-Rooting Color Image Enhancement Method On The Two-Side 2-D Quaternion Discrete Fourier Transform And The 2-D Discrete Fourier Transform. - Artyom M. Grigoryan; Aparna John; Sos S. Agaian (CoRR, 2017)

Color Visibility Images and Measures of Image Enhancement. - Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2018)

Color Facial Image Representation with New Quaternion Gradients. - Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2018)

Two General Models for Gradient Operators in Imaging. - Artyom M. Grigoryan; Sos S. Agaian (Image Processing: Algorithms and Systems, 2018)

Enhancement of Underwater Color Images by Two-side 2-D Quaternion Discrete Fourier Transform. - Artyom M. Grigoryan; Aparna John; Sos S. Agaian (Image Processing: Algorithms and Systems, 2018)

Alpha-rooting color image enhancement method by two-side 2-D quaternion discrete Fourier transform followed by spatial transformation. - Artyom M. Grigoryan; Aparna John; Sos S. Agaian (CoRR, 2018)

A Novel Color Image Enhancement Method by the Transformation of Color Images to 2-D Grayscale Images. - Artyom M. Grigoryan; Aparna John; Sos S. Agaian (CoRR, 2018)

Paired quantum Fourier transform with log2N Hadamard gates. - Artyom M. Grigoryan; Sos S. Agaian (Quantum Inf. Process., 2019)

Evidence of Golden and Aesthetic Proportions in Colors of Paintings of the Prominent Artists. - Artyom M. Grigoryan; Sos S. Agaian (IEEE Multim., 2020)

Resolution map in quantum computing: signal representation by periodic patterns. - Artyom M. Grigoryan (Quantum Inf. Process., 2020)

New look on quantum representation of images: Fourier transform representation. - Artyom M. Grigoryan; Sos S. Agaian (Quantum Inf. Process., 2020)

Color-Coded Symbology and New Computer Vision Tool to Predict the Historical Color Pallets of the Renaissance Oil Artworks. - Artyom M. Grigoryan; Sos S. Agaian (CoRR, 2021)

Effective Methods of QR-Decompositions of Square Complex Matrices by Fast Discrete Signal-Induced Heap Transforms. - Artyom M. Grigoryan (CoRR, 2021)

An Efficient Calculation of Quaternion Correlation of Signals and Color Images. - Artyom M. Grigoryan; Sos S. Agaian (CoRR, 2022)

Quantum-Inspired Edge Detection Algorithms Implementation using New Dynamic Visual Data Representation and Short-Length Convolution Computation. - Artyom M. Grigoryan; Sos S. Agaian; Karen Panetta (CoRR, 2022)

Quantum representation of 1-D signals on the unit circle. - Artyom M. Grigoryan; Sos S. Agaian (Quantum Inf. Process., 2022)

Commutative quaternion algebra and DSP fundamental properties: Quaternion convolution and Fourier transform. - Artyom M. Grigoryan; Sos S. Agaian (Signal Process., 2022)

Multiplicative group of quantum representations of signals. - Artyom M. Grigoryan; Sos S. Agaian (Quantum Inf. Process., 2023)

Introduction to multiplicative group on 2-qubits in quantum color image processing. - Artyom M. Grigoryan; Sos S. Agaian (Quantum Inf. Process., 2023)

Quaternion-Based Arithmetic in Quantum Information Processing: A promising approach for efficient color quantum imaging [Hypercomplex Signal and Image Processing]. - Artyom M. Grigoryan; Sos S. Agaian (IEEE Signal Process. Mag., 2024)

Novel Entropy for Enhanced Thermal Imaging and Uncertainty Quantification. - Hrach Ayunts; Artyom M. Grigoryan; Sos S. Agaian (Entropy, 2024)

Commutative Quaternion Algebra with Quaternion Fourier Transform-Based Alpha-Rooting Color Image Enhancement. - Artyom M. Grigoryan; Alexis A. Gomez (Comput., 2025)