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This paper revisits the design and optimization of parallel fast finite impulse response (FIR) filters using polyphase decomposition and iterated fast FIR algorithms (FFAs). Parallel FIR filtering enhances computational efficiency and…

Signal Processing · Electrical Eng. & Systems 2026-01-23 Keshab K. Parhi

Supervised statistical classification is a vital tool for satellite image processing. It is useful not only when a discrete result, such as feature extraction or surface type, is required, but also for continuum retrievals by dividing the…

Atmospheric and Oceanic Physics · Physics 2016-02-05 Peter Mills

In this paper a nonlinear Gabor Wavelet Transform (GWT) discriminant feature extraction approach for enhanced face recognition is proposed. Firstly, the low-energized blocks from Gabor wavelet transformed images are extracted. Secondly, the…

Computer Vision and Pattern Recognition · Computer Science 2013-12-06 Arindam Kar , Debotosh Bhattacharjee , Dipak Kumar Basu , Mita Nasipuri , Mahantapas Kundu

With tens of petaflops supercomputers already in operation and exaflops machines expected to appear within the next 10 years, efficient parallel computational methods are required to take advantage of such extreme-scale machines. In this…

Materials Science · Physics 2012-11-13 Truong Vinh Truong Duy , Taisuke Ozaki

In order to accurately detect defects in patterned fabric images, a novel detection algorithm based on Gabor-HOG (GHOG) and low-rank decomposition is proposed in this paper. Defect-free pattern fabric images have the specified direction,…

Computer Vision and Pattern Recognition · Computer Science 2017-02-21 Chunlei Li , Guangshuai Gao , Zhoufeng Liu , Di Huang , Sheng Liu , Miao Yu

We construct an algorithm for implementing the discrete wavelet transform by means of matrices in SO_2(R) for orthonormal compactly supported wavelets and matrices in SL_m(R), m > = 2, for compactly supported biorthogonal wavelets. We show…

Mathematical Software · Computer Science 2007-05-23 Eirik Fossgaard

We consider three problems for Gabor frames that have recently received much attention. The first problem concerns the approximation of dual Gabor frames in $L_2(R)$ by finite-dimensional methods. Utilizing Wexler-Raz type duality relations…

Functional Analysis · Mathematics 2025-10-20 Thomas Strohmer

3D Gaussian Splatting (3DGS) achieves an appealing balance between rendering quality and efficiency, but relies on approximating 3D Gaussians as 2D projections--an assumption that degrades accuracy, especially under generic large…

Graphics · Computer Science 2026-03-13 Zixun Huang , Cho-Ying Wu , Yuliang Guo , Xinyu Huang , Liu Ren

In this paper, we introduce Ref-GS, a novel approach for directional light factorization in 2D Gaussian splatting, which enables photorealistic view-dependent appearance rendering and precise geometry recovery. Ref-GS builds upon the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Youjia Zhang , Anpei Chen , Yumin Wan , Zikai Song , Junqing Yu , Yawei Luo , Wei Yang

Corner detection is widely used in various computer vision tasks, such as image matching and 3D reconstruction. Our research indicates that there are theoretical flaws in Zhang et al.'s use of a simple corner model to obtain a series of…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Dongbo Xie , Junjie Qiu , Changming Sun , Weichuan Zhang

We introduce Gaussian-Flow, a novel point-based approach for fast dynamic scene reconstruction and real-time rendering from both multi-view and monocular videos. In contrast to the prevalent NeRF-based approaches hampered by slow training…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Youtian Lin , Zuozhuo Dai , Siyu Zhu , Yao Yao

We present a promising approach to the extremely fast sensing and correction of small wavefront errors in adaptive optics systems. As our algorithm's computational complexity is roughly proportional to the number of actuators, it is…

Instrumentation and Methods for Astrophysics · Physics 2016-11-26 Christoph U. Keller , Visa Korkiakoski , Niek Doelman , Rufus Fraanje , Raluca Andrei , Michel Verhaegen

Implicit neural representations (INRs) enable fast video compression and effective video processing, but a single model rarely offers scalable decoding across rates and resolutions. In practice, multi-resolution typically relies on…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Mufan Liu , Qi Yang , Miaoran Zhao , He Huang , Le Yang , Zhu Li , Yiling Xu

3D Gaussian Splatting has demonstrated remarkable real-time rendering capabilities and superior visual quality in novel view synthesis for static scenes. Building upon these advantages, researchers have progressively extended 3D Gaussians…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Han Jiao , Jiakai Sun , Lei Zhao , Zhanjie Zhang , Wei Xing , Huaizhong Lin

First-principles density functional theory (DFT) codes which employ a localized basis offer advantages over those which use plane-wave bases, such as better scaling with system size and better suitability to low-dimensional systems. The…

Materials Science · Physics 2024-11-25 Daniel Bennett , Michele Pizzochero , Javier Junquera , Efthimios Kaxiras

Two steps phase shifting interferometry has been a hot topic in the recent years. We present a comparison study of 12 representative self--tunning algorithms based on two-steps phase shifting interferometry. We evaluate the performance of…

Image and Video Processing · Electrical Eng. & Systems 2020-02-28 Víctor H. Flores , Alan Reyes-Figueroa , César Carrillo-Delgado , Mariano Rivera

Multi-directional 3D printing has the capability of decreasing or eliminating the need for support structures. Recent work proposed a beam-guided search algorithm to find an optimized sequence of plane-clipping, which gives volume…

Graphics · Computer Science 2020-07-21 Chenming Wu , Yong-Jin Liu , Charlie C. L. Wang

Two-Dimensional (2D) Discrete Fourier Transform (DFT) is a basic and computationally intensive algorithm, with a vast variety of applications. 2D images are, in general, non-periodic, but are assumed to be periodic while calculating their…

Computer Vision and Pattern Recognition · Computer Science 2016-03-17 Faisal Mahmood , Märt Toots , Lars-Göran Öfverstedt , Ulf Skoglund

Novel technologies and new materials are in high demand for future energy-efficient electronic devices to overcome the fundamental limitations of miniaturization of current silicon-based devices. Two-dimensional (2D) materials show…

Computational Physics · Physics 2021-12-20 Lei Shen , Jun Zhou , Tong Yang , Ming Yang , Yuan Ping Feng

3D Gaussian Splatting (3D-GS) has emerged as an efficient 3D representation and a promising foundation for semantic tasks like segmentation. However, existing 3D-GS-based segmentation methods typically rely on high-dimensional category…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 An Yang , Chenyu Liu , Jun Du , Jianqing Gao , Jia Pan , Jinshui Hu , Baocai Yin , Bing Yin , Cong Liu
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