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We find that, even in the presence of discreteness noise, a Gaussianizing transform (producing a more-Gaussian one-point distribution) reduces nonlinearities in the power spectra of cosmological matter and galaxy density fields, in many…

宇宙学与河外天体物理 · 物理学 2011-04-06 Mark C. Neyrinck , István Szapudi , Alexander S. Szalay

Recent advances in 3D Gaussian Splatting (3DGS) have achieved remarkable success in high-fidelity Novel View Synthesis (NVS), yet the optimization process inevitably introduces noisy Gaussian primitives due to the sparse and incomplete…

计算机视觉与模式识别 · 计算机科学 2026-05-15 Qingyuan Zhou , Xinyi Liu , Weidong Yang , Ning Wang , Shuquan Ye , Ben Fei , Ying He , Wanli Ouyang

Most of existing image denoising methods assume the corrupted noise to be additive white Gaussian noise (AWGN). However, the realistic noise in real-world noisy images is much more complex than AWGN, and is hard to be modelled by simple…

计算机视觉与模式识别 · 计算机科学 2018-07-13 Jun Xu , Lei Zhang , David Zhang

Because noise can interfere with downstream analysis, image denoising has come to occupy an important place in the image processing toolbox. The most accurate state-of-the-art denoisers typically train on a representative dataset. But…

计算机视觉与模式识别 · 计算机科学 2022-12-06 Jason Lequyer , Wen-Hsin Hsu , Reuben Philip , Anna Christina Erpf , Laurence Pelletier

3D scene reconstruction and novel-view synthesis are fundamental for VR, robotics, and content creation. However, most NeRF and 3D Gaussian Splatting pipelines assume clean inputs and degrade under real noise and artifacts. We therefore…

计算机视觉与模式识别 · 计算机科学 2026-03-11 Fuzhen Jiang , Zhuoran Li , Yinlin Zhang

Deep neural networks have been widely used in image denoising during the past few years. Even though they achieve great success on this problem, they are computationally inefficient which makes them inappropriate to be implemented in mobile…

图像与视频处理 · 电气工程与系统科学 2021-08-05 Lu Xu , Jiawei Zhang , Xuanye Cheng , Feng Zhang , Xing Wei , Jimmy Ren

We present a statistical analysis of a variant of the periodogram method that forms power spectral density estimates by cross-correlating the discrete Fourier transforms of adjacent time windows. The proposed estimator is closely related to…

统计理论 · 数学 2026-03-24 Mark Magsino

It is usual in helioseismology to remove unwanted instrumental low-frequency trends by applying high-pass filters to the time series. However, the choice of the filter is very important because it can keep the periodic signals throughout…

天体物理学 · 物理学 2007-12-19 R. A. García , J. Ballot

Plug and play (P&P) algorithms iteratively apply highly optimized image denoisers to impose priors and solve computational image reconstruction problems, to great effect. However, in general the "effective noise", that is the difference…

信号处理 · 电气工程与系统科学 2020-10-27 Christopher A. Metzler , Gordon Wetzstein

We investigated the use of the Bayesian inference to restore noise-degraded images under conditions of spatially correlated noise. The generative statistical models used for the original image and the noise were assumed to obey…

无序系统与神经网络 · 物理学 2009-11-07 Jun Tsuzurugi , Masato Okada

This work concerns noise reduction for one-dimensional spectra in the case that the signal is corrupted by an additive white noise. The proposed method starts with mapping the noisy spectrum to a partial circulant matrix. In virtue of…

数据分析、统计与概率 · 物理学 2020-10-29 X. C. Chen , Yu. A. Litvinov , M. Wang , Q. Wang , Y. H. Zhang

This paper presents a polarization-driven (PD) shortening technique for the design of rate-compatible polar codes. The proposed shortening strategy consists of reducing the generator matrix by relating its row index with the channel…

信息论 · 计算机科学 2018-08-02 R. M. Oliveira , R. C. de Lamare

We propose an ECG denoising method based on a feed forward neural network with three hidden layers. Particulary useful for very noisy signals, this approach uses the available ECG channels to reconstruct a noisy channel. We tested the…

计算工程、金融与科学 · 计算机科学 2012-12-21 Rui Rodrigues , Paula Couto

Fuzzy Transform (F-transform) has been introduced as an approximation method which encompasses both classical transforms and approximation methods studied in fuzzy modeling and fuzzy control. It has been proved that, under some conditions,…

数值分析 · 数学 2020-11-24 Rafael Aleixo

We study matched and Euclidean-mismatched decoding on finite Fourier-curve constellations with tangent-space artificial noise. Each hypothesis induces a Gaussian law with symbol-dependent rank-one covariance. We derive exact Euclidean…

信息论 · 计算机科学 2026-04-24 Bin Han , Hao Chen , Muxia Sun , H. V. Poor , Hans D. Schotten

We present a scheme to neutralize the dephasing effect induced by classical noise on a qubit. The scheme builds upon the key idea that this kind of noise can be recorded by a classical device during the qubit evolution, and that its effect…

The bilateral filter is known to be quite effective in denoising images corrupted with small dosages of additive Gaussian noise. The denoising performance of the filter, however, is known to degrade quickly with the increase in noise level.…

计算机视觉与模式识别 · 计算机科学 2015-05-26 Kunal N. Chaudhury , Kollipara Rithwik

This paper describes a method of calculating the transforms, currently obtained via Fourier and reverse Fourier transforms. The method allows calculating efficiently the transforms of a signal having an arbitrary dimension of the digital…

数值分析 · 数学 2025-10-20 Vladimir I Clue

Detection thresholds in polarized intensity and polarization bias correction are investigated for surveys where the polarization information is obtained from RM synthesis. Considering unresolved sources with a single rotation measure, a…

天体物理仪器与方法 · 物理学 2015-05-28 Samuel J. George , Jeroen M. Stil , Ben W. Keller

Understanding origin and evolution of cosmological magnetic fields requires knowledge of magnetic fields in different extragalactic environments. In this context, a powerful tool is the statistical analysis of the Faraday effect on the…