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In this paper we introduce the algorithm and the fixed point hardware to calculate the normalized singular value decomposition of a non-symmetric matrices using Givens fast (approximate) rotations. This algorithm only uses the basic…

Numerical Analysis · Computer Science 2017-07-18 Ehsan Rohani , Gwan Choi , Mi Lu

Deep convolutional neural networks (CNNs) have been shown to be very successful in a wide range of image processing applications. However, due to their increasing number of model parameters and an increasing availability of large amounts of…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Axel Klawonn , Martin Lanser , Janine Weber

High-dimensional transfer function design is widely used to provide appropriate data classification for direct volume rendering of various datasets. However, its design is a complicated task. Parallel coordinate plot (PCP), as a powerful…

Graphics · Computer Science 2013-11-05 Xin Zhao

The principal component analysis (PCA) is widely used for data decorrelation and dimensionality reduction. However, the use of PCA may be impractical in real-time applications, or in situations were energy and computing constraints are…

Image and Video Processing · Electrical Eng. & Systems 2024-01-31 R. S. Oliveira , R. J. Cintra , F. M. Bayer , T. L. T. da Silveira , A. Madanayake , A. Leite

Discrete transforms such as the discrete Fourier transform (DFT) or the discrete Hartley transform (DHT) furnish an indispensable tool in signal processing. The successful application of transform techniques relies on the existence of the…

Data Structures and Algorithms · Computer Science 2015-08-27 H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza

Accelerating the data acquisition of dynamic magnetic resonance imaging (MRI) leads to a challenging ill-posed inverse problem, which has received great interest from both the signal processing and machine learning community over the last…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Chen Qin , Jo Schlemper , Jose Caballero , Anthony Price , Joseph V. Hajnal , Daniel Rueckert

A novel energy-efficient edge computing paradigm is proposed for real-time deep learning-based image upsampling applications. State-of-the-art deep learning solutions for image upsampling are currently trained using either resize or…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Ian Colbert , Ken Kreutz-Delgado , Srinjoy Das

In this article, we present an $O(N \log N)$ rapidly convergent algorithm for the numerical approximation of the convolution integral with radially symmetric weakly singular kernels and compactly supported densities. To achieve the reduced…

Numerical Analysis · Mathematics 2021-07-09 Awanish Kumar Tiwari , Ambuj Pandey , Jagabandhu Paul , Akash Anand

Light-weight convolutional neural networks (CNNs) have small complexity and are good candidates for low-power, high-throughput inference. Such networks are heterogeneous in terms of computation-to-communication (CTC) ratios and computation…

Hardware Architecture · Computer Science 2021-10-05 Tiandong Zhao , Yunxuan Yu , Kun Wang , Lei He

Modern tomography involves gathering projection data from multiple directions and feeding them into a software algorithm for tomographic reconstruction. We focus our study on image reconstruction from Radon data in the setting of…

Numerical Analysis · Mathematics 2014-12-19 Maria Angela Narduzzo

The spherical Radon transform (SRT) is an integral transform that maps a function to its integrals over concentric spherical shells centered at specified sensor locations. It has several imaging applications, including synthetic aperture…

Image and Video Processing · Electrical Eng. & Systems 2024-02-27 Luke Lozenski , Refik Mert Cam , Mark A. Anastasio , Umberto Villa

The ever-growing deep learning technologies are making revolutionary changes for modern life. However, conventional computing architectures are designed to process sequential and digital programs, being extremely burdened with performing…

Emerging Technologies · Computer Science 2022-12-21 Yuyao Huang , Tingzhao Fu , Honghao Huang , Sigang Yang , Hongwei Chen

Magnetic resonance (MR) image acquisition is an inherently prolonged process, whose acceleration by obtaining multiple undersampled images simultaneously through parallel imaging has always been the subject of research. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2021-04-13 Chun-Mei Feng , Zhanyuan Yang , Geng Chen , Yong Xu , Ling Shao

We present data structures and algorithms for native implementations of discrete convolution operators over Adaptive Particle Representations (APR) of images on parallel computer architectures. The APR is a content-adaptive image…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Joel Jonsson , Bevan L. Cheeseman , Suryanarayana Maddu , Krzysztof Gonciarz , Ivo F. Sbalzarini

The discrete cosine transform (DCT) is a relevant tool in signal processing applications, mainly known for its good decorrelation properties. Current image and video coding standards -- such as JPEG and HEVC -- adopt the DCT as a…

Image and Video Processing · Electrical Eng. & Systems 2022-12-09 T. L. T. da Silveira , D. R. Canterle , D. F. G. Coelho , V. A. Coutinho , F. M. Bayer , R. J. Cintra

Joint image filters are used to transfer structural details from a guidance picture used as a prior to a target image, in tasks such as enhancing spatial resolution and suppressing noise. Previous methods based on convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Beomjun Kim , Jean Ponce , Bumsub Ham

Parallel-across-the method time integration can provide small scale parallelism when solving initial value problems. Spectral deferred corrections (SDC) with a diagonal sweeper, which is closely related to iterated Runge-Kutta methods…

Numerical Analysis · Mathematics 2025-02-12 Gayatri Čaklović , Thibaut Lunet , Sebastian Götschel , Daniel Ruprecht

We present the new parallel version (pCRASH2) of the cosmological radiative transfer code CRASH2 for distributed memory supercomputing facilities. The code is based on a static domain decomposition strategy inspired by geometric dilution of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Adrian M. Partl , Antonella Maselli , Benedetta Ciardi , Andrea Ferrara , Volker Müller

The goal of this paper is to serve as a guide for selecting a detection architecture that achieves the right speed/memory/accuracy balance for a given application and platform. To this end, we investigate various ways to trade accuracy for…

Computer Vision and Pattern Recognition · Computer Science 2017-04-26 Jonathan Huang , Vivek Rathod , Chen Sun , Menglong Zhu , Anoop Korattikara , Alireza Fathi , Ian Fischer , Zbigniew Wojna , Yang Song , Sergio Guadarrama , Kevin Murphy

Traditional 3D convolutions are computationally expensive, memory intensive, and due to large number of parameters, they often tend to overfit. On the other hand, 2D CNNs are less computationally expensive and less memory intensive than 3D…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Gagan Kanojia , Sudhakar Kumawat , Shanmuganathan Raman