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A simple method is presented for the rapid simulation of statistically-isotropic non-Gaussian maps of CMB temperature fluctuations with a given power spectrum and analytically-calculable bispectrum and higher-order polyspectra. The…

Astrophysics · Physics 2009-11-10 Graca Rocha , M. P. Hobson , Sarah Smith , Pedro Ferreira , Anthony Challinor

In mesh-based numerical simulations, the interpolation of mesh-defined functions across different meshes is a critical task, and achieving high-precision interpolation is of great significance for improving the computational efficiency and…

Numerical Analysis · Mathematics 2026-04-15 Jiaxiong Hao , Yunqing Huang , Nianyu Yi

In this paper, we propose a novel image interpolation algorithm, which is formulated via combining both the local autoregressive (AR) model and the nonlocal adaptive 3-D sparse model as regularized constraints under the regularization…

Multimedia · Computer Science 2016-11-17 Xinwei Gao , Jian Zhang , Feng Jiang , Xiaopeng Fan , Siwei Ma , Debin Zhao

Images encode both the state of the world and its content. The former is useful for tasks such as planning and control, and the latter for classification. The automatic extraction of this information is challenging because of the…

Artificial Intelligence · Computer Science 2020-12-09 Christine Allen-Blanchette , Kostas Daniilidis

GNSS localization is an important part of today's autonomous systems, although it suffers from non-Gaussian errors caused by non-line-of-sight effects. Recent methods are able to mitigate these effects by including the corresponding…

Robotics · Computer Science 2020-03-20 Tim Pfeifer , Peter Protzel

The Gridding algorithm has shown great utility for reconstructing images from non-uniformly spaced samples in the Fourier domain in several imaging modalities. Due to the non-uniform spacing, some correction for the variable density of the…

Image and Video Processing · Electrical Eng. & Systems 2021-06-17 Nicholas Dwork , Daniel O'Connor , Ethan M. I. Johnson , Corey A. Baron , Jeremy W. Gordon , John M. Pauly , Peder E. Z. Larson

Many high dimensional integrals can be reduced to the problem of finding the relative measures of two sets. Often one set will be exponentially larger than the other, making it difficult to compare the sizes. A standard method of dealing…

Probability · Mathematics 2011-12-19 Mark Huber , Sarah Schott

Partitioning an image into superpixels based on the similarity of pixels with respect to features such as colour or spatial location can significantly reduce data complexity and improve subsequent image processing tasks. Initial algorithms…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Jakob Geusen , Gustav Bredell , Tianfei Zhou , Ender Konukoglu

Supervised and unsupervised homography estimation methods depend on image pairs tailored to specific modalities to achieve high accuracy. However, their performance deteriorates substantially when applied to unseen modalities. To address…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Jinkun You , Jiaxin Cheng , Jie Zhang , Yicong Zhou

Spectral Clustering is one of the most traditional methods to solve segmentation problems. Based on Normalized Cuts, it aims at partitioning an image using an objective function defined by a graph. Despite their mathematical attractiveness,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Rahul Palnitkar , Jeova Farias Sales Rocha Neto

Non-Gaussian and multimodal distributions are an important part of many recent robust sensor fusion algorithms. In difference to robust cost functions, they are probabilistically founded and have good convergence properties. Since their…

Robotics · Computer Science 2020-01-14 Tim Pfeifer , Peter Protzel

Video frame interpolation aims at synthesizing intermediate frames from nearby source frames while maintaining spatial and temporal consistencies. The existing deep-learning-based video frame interpolation methods can be roughly divided…

Computer Vision and Pattern Recognition · Computer Science 2021-03-19 Zhihao Shi , Xiaohong Liu , Kangdi Shi , Linhui Dai , Jun Chen

Implicit neural representations (INRs) have significantly advanced the field of arbitrary-scale super-resolution (ASSR) of images. Most existing INR-based ASSR networks first extract features from the given low-resolution image using an…

Computer Vision and Pattern Recognition · Computer Science 2024-07-26 Jintong Hu , Bin Xia , Bin Chen , Wenming Yang , Lei Zhang

A wide range of applications require learning image generation models whose latent space effectively captures the high-level factors of variation present in the data distribution. The extent to which a model represents such variations…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Avinandan Bose , Aniket Das , Yatin Dandi , Piyush Rai

We present a simple and effective image super-resolution algorithm that imposes an image formation constraint on the deep neural networks via pixel substitution. The proposed algorithm first uses a deep neural network to estimate…

Image and Video Processing · Electrical Eng. & Systems 2020-03-31 Jinshan Pan , Yang Liu , Deqing Sun , Jimmy Ren , Ming-Ming Cheng , Jian Yang , Jinhui Tang

This paper presents a simple and efficient method to convolve an image with a Gaussian kernel. The computation is performed in a constant number of operations per pixel using running sums along the image rows and columns. We investigate the…

Computer Vision and Pattern Recognition · Computer Science 2011-07-26 Elhanan Elboher , Michael Werman

This paper addresses the problem of interpolating visual textures. We formulate this problem by requiring (1) by-example controllability and (2) realistic and smooth interpolation among an arbitrary number of texture samples. To solve it we…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Ning Yu , Connelly Barnes , Eli Shechtman , Sohrab Amirghodsi , Michal Lukac

Uncalibrated photometric stereo is proposed to estimate the detailed surface normal from images under varying and unknown lightings. Recently, deep learning brings powerful data priors to this underdetermined problem. This paper presents a…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Fangzhou Gao , Meng Wang , Lianghao Zhang , Li Wang , Jiawan Zhang

This paper presents a nonlinear mixing model for joint hyperspectral image unmixing and nonlinearity detection. The proposed model assumes that the pixel reflectances are linear combinations of known pure spectral components corrupted by an…

Methodology · Statistics 2015-06-16 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , Jean-Yves Tourneret

In video super-resolution, it is common to use a frame-wise alignment to support the propagation of information over time. The role of alignment is well-studied for low-level enhancement in video, but existing works overlook a critical step…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Kai Xu , Ziwei Yu , Xin Wang , Michael Bi Mi , Angela Yao
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