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This note is a very basic introduction to wavelets. It starts with an orthogonal basis of piecewise constant functions, constructed by dilation and translation. The ``wavelet transform'' maps each $f(x)$ to its coefficients with respect to…

数值分析 · 数学 2025-10-20 Gilbert Strang

We describe a method for fast approximation of sparse coding. The input space is subdivided by a binary decision tree, and we simultaneously learn a dictionary and assignment of allowed dictionary elements for each leaf of the tree. We…

计算机视觉与模式识别 · 计算机科学 2015-06-09 Arthur Szlam , Karol Gregor , Yann LeCun

One of the main challenges for arbitrary-shaped text detection is to design a good text instance representation that allows networks to learn diverse text geometry variances. Most of existing methods model text instances in image spatial…

计算机视觉与模式识别 · 计算机科学 2021-04-23 Yiqin Zhu , Jianyong Chen , Lingyu Liang , Zhanghui Kuang , Lianwen Jin , Wayne Zhang

In a common approach for parallel processing applied to simulations of many-particle systems with short-ranged interactions and uniform density, the simulation cell is partitioned into domains of equal shape and size, each of which is…

材料科学 · 物理学 2007-05-23 M. A. Stijnman , R. H. Bisseling , G. T. Barkema

In this letter, we propose a Voronoi shaping method with reduced encoding complexity. The method works for integer shaping and coding lattices satisfying the chain $\Lambda_s \subseteq \textbf{K}\mathbb{Z}^n \subseteq \Lambda_c$, with…

信号处理 · 电气工程与系统科学 2020-08-05 H. Buglia , R. R. Lopes

This study considers the Block-Toeplitz structural properties inherent in traditional multichannel forward model matrices, using Full Matrix Capture (FMC) in ultrasonic testing as a case study. We propose an analytical convolutional forward…

信号处理 · 电气工程与系统科学 2024-07-19 Han Wang , Yhonatan Kvich , Eduardo Pérez , Florian Römer , Yonina C. Eldar

High-performance learned image compression codecs require flexible probability models to fit latent representations. Gaussian Mixture Models (GMMs) were proposed to satisfy this demand, but suffer from a significant runtime performance…

图像与视频处理 · 电气工程与系统科学 2025-09-24 Shimon Murai , Fangzheng Lin , Jiro Katto

As the availability of imagery data continues to swell, so do the demands on transmission, storage and processing power. Processing requirements to handle this plethora of data is quickly outpacing the utility of conventional processing…

计算机视觉与模式识别 · 计算机科学 2022-11-01 Artyom M. Grigoryan , Sos S. Agaian , Karen Panetta

We introduce a new approach to the numerical simulation of Scanning Transmission Electron Microscopy images. The Lattice Multislice Algorithm (LMA) takes advantage of the fact that electron waves passing through the specimen have limited…

数值分析 · 数学 2023-10-26 Christian Doberstein , Peter Binev

Face recognition has made extraordinary progress owing to the advancement of deep convolutional neural networks (CNNs). The central task of face recognition, including face verification and identification, involves face feature…

计算机视觉与模式识别 · 计算机科学 2018-04-04 Hao Wang , Yitong Wang , Zheng Zhou , Xing Ji , Dihong Gong , Jingchao Zhou , Zhifeng Li , Wei Liu

Fast Fourier transform was included in the Top 10 Algorithms of 20th Century by Computing in Science & Engineering. In this paper, we provide a new simple derivation of both the discrete Fourier transform and fast Fourier transform by means…

数据结构与算法 · 计算机科学 2019-08-21 Peter Zeman

In the field of 3D medical imaging, accurately extracting and representing the blood vessels with curvilinear structures holds paramount importance for clinical diagnosis. Previous methods have commonly relied on discrete representation…

计算机视觉与模式识别 · 计算机科学 2025-06-09 Ziwei Zhao , Zhixing Zhang , Yuhang Liu , Zhao Zhang , Haojun Yu , Dong Wang , Liwei Wang

Dense facial landmark detection is one of the key elements of face processing pipeline. It is used in virtual face reenactment, emotion recognition, driver status tracking, etc. Early approaches were suitable for facial landmark detection…

计算机视觉与模式识别 · 计算机科学 2022-04-26 Kostiantyn Khabarlak , Larysa Koriashkina

One of the fundamental challenges in supervised learning for multimodal image registration is the lack of ground-truth for voxel-level spatial correspondence. This work describes a method to infer voxel-level transformation from…

A second-order face-centred finite volume method (FCFV) is proposed. Contrary to the more popular cell-centred and vertex-centred finite volume (FV) techniques, the proposed method defines the solution on the faces of the mesh (edges in two…

数值分析 · 数学 2019-11-12 Luan M Vieira , Matteo Giacomini , Ruben Sevilla , Antonio Huerta

This paper proposes a fusion strategy for multistream convolutional networks, the Lattice Cross Fusion. This approach crosses signals from convolution layers performing mathematical operation-based fusions right before pooling layers.…

计算机视觉与模式识别 · 计算机科学 2020-08-04 Ana Paula G. S. de Almeida , Flavio de Barros Vidal

We present a novel lightweight convolutional neural network for point cloud analysis. In contrast to many current CNNs which increase receptive field by downsampling point cloud, our method directly operates on the entire point sets without…

计算机视觉与模式识别 · 计算机科学 2021-09-27 Xu Wang , Yuyan Li , Ye Duan

Accurate 3D object detection in large-scale outdoor scenes, characterized by considerable variations in object scales, necessitates features rich in both long-range and fine-grained information. While recent detectors have utilized…

计算机视觉与模式识别 · 计算机科学 2024-01-23 Jianan Li , Shaocong Dong , Lihe Ding , Tingfa Xu

State-of-the-art 3D-aware generative models rely on coordinate-based MLPs to parameterize 3D radiance fields. While demonstrating impressive results, querying an MLP for every sample along each ray leads to slow rendering. Therefore,…

计算机视觉与模式识别 · 计算机科学 2022-11-11 Katja Schwarz , Axel Sauer , Michael Niemeyer , Yiyi Liao , Andreas Geiger

Lattice sieving in two or more dimensions has proven to be an indispensable practical aid in integer factorization and discrete log computations involving the number field sieve. The main contribution of this article is to show that a…

数论 · 数学 2020-01-30 Gary McGuire , Oisin Robinson