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This paper introduces a sparse projection matrix composed of discrete (digital) periodic lines that create a pseudo-random (p.frac) sampling scheme. Our approach enables random Cartesian sampling whilst employing deterministic and…

图像与视频处理 · 电气工程与系统科学 2024-01-09 Marlon Bran Lorenzana , Benjamin Cottier , Matthew Marques , Andrew Kingston , Shekhar S. Chandra

We introduce a novel edge tracing algorithm using Gaussian process regression. Our edge-based segmentation algorithm models an edge of interest using Gaussian process regression and iteratively searches the image for edge pixels in a…

计算机视觉与模式识别 · 计算机科学 2021-12-15 Jamie Burke , Stuart King

Gaussian Splatting (GS) has recently emerged as a state-of-the-art representation for radiance fields, combining real-time rendering with high visual fidelity. However, GS models require storing millions of parameters, leading to large file…

多媒体 · 计算机科学 2026-02-27 Pedro Martin , Antonio Rodrigues , Joao Ascenso , Maria Paula Queluz

Recently, 3D Gaussian Splatting (3D-GS) has emerged, showing real-time rendering speeds and high-quality results in static scenes. Although 3D-GS shows effectiveness in static scenes, their performance significantly degrades in real-world…

计算机视觉与模式识别 · 计算机科学 2025-09-12 Wongi Park , Myeongseok Nam , Siwon Kim , Sangwoo Jo , Soomok Lee

Deep Gaussian processes (DGP) have appealing Bayesian properties, can handle variable-sized data, and learn deep features. Their limitation is that they do not scale well with the size of the data. Existing approaches address this using a…

机器学习 · 计算机科学 2019-05-20 Issam H. Laradji , Mark Schmidt , Vladimir Pavlovic , Minyoung Kim

One of the fundamental tasks of science is to find explainable relationships between observed phenomena. One approach to this task that has received attention in recent years is based on probabilistic graphical modelling with sparsity…

机器学习 · 统计学 2014-04-16 Peter Orchard , Felix Agakov , Amos Storkey

Deriving from the gradient vector of a generative model of local features, Fisher vector coding (FVC) has been identified as an effective coding method for image classification. Most, if not all, % FVC implementations employ the Gaussian…

计算机视觉与模式识别 · 计算机科学 2014-11-25 Lingqiao Liu , Chunhua Shen , Lei Wang , Anton van den Hengel , Chao Wang

3D Gaussian splatting (3DGS) has shown its detailed expressive ability and highly efficient rendering speed in the novel view synthesis (NVS) task. The application to inverse rendering still faces several challenges, as the discrete nature…

图形学 · 计算机科学 2025-07-22 Zuo-Liang Zhu , Jian Yang , Beibei Wang

3D Gaussian Splatting (3DGS) enables photorealistic rendering but suffers from artefacts due to sparse Structure-from-Motion (SfM) initialisation. To address this limitation, we propose GP-GS, a Gaussian Process (GP) based densification…

计算机视觉与模式识别 · 计算机科学 2026-01-13 Zhihao Guo , Jingxuan Su , Chenghao Qian , Shenglin Wang , Jinlong Fan , Jing Zhang , Wei Zhou , Hadi Amirpour , Yunlong Zhao , Liangxiu Han , Peng Wang

Lensless imaging has emerged as a promising field within inverse imaging, offering compact, cost-effective solutions with the potential to revolutionize the computational camera market. By circumventing traditional optical components like…

图像与视频处理 · 电气工程与系统科学 2024-07-10 Abeer Banerjee , Sanjay Singh

In spatial statistics, a common method for prediction over a Gaussian random field (GRF) is maximum likelihood estimation combined with kriging. For massive data sets, kriging is computationally intensive, both in terms of CPU time and…

统计方法学 · 统计学 2018-09-28 Karl T. Pazdernik , Ranjan Maitra , Douglas Nychka , Stephen Sain

The advent of neural and Gaussian-based radiance field methods have achieved great success in the field of novel view synthesis. However, specular reflection remains non-trivial, as the high frequency radiance field is notoriously difficult…

计算机视觉与模式识别 · 计算机科学 2024-06-05 Keyang Ye , Qiming Hou , Kun Zhou

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…

计算机视觉与模式识别 · 计算机科学 2024-07-26 Jintong Hu , Bin Xia , Bin Chen , Wenming Yang , Lei Zhang

Recent advances in 3D Gaussian Splatting (3DGS) have enabled highly efficient and photorealistic novel view synthesis. However, segmenting objects accurately in 3DGS remains challenging due to the discrete nature of Gaussian…

计算机视觉与模式识别 · 计算机科学 2026-04-17 Yi He , Tao Wang , Yi Jin , Congyan Lang , Yidong Li , Haibin Ling

Using parts of existing models to rebuild new models, commonly termed as example-based modeling, is a classical methodology in the realm of computer graphics. Previous works mostly focus on shape composition, making them very hard to use…

计算机视觉与模式识别 · 计算机科学 2024-08-29 Xinyu Gao , Ziyi Yang , Bingchen Gong , Xiaoguang Han , Sipeng Yang , Xiaogang Jin

3D scene reconstruction and rendering are core tasks in computer vision, with applications spanning industrial monitoring, robotics, and autonomous driving. Recent advances in 3D Gaussian Splatting (GS) and its variants have achieved…

计算机视觉与模式识别 · 计算机科学 2026-02-20 Chi-Shiang Gau , Konstantinos D. Polyzos , Athanasios Bacharis , Saketh Madhuvarasu , Tara Javidi

Gaussian Splatting has emerged as a leading method for novel view synthesis, offering superior training efficiency and real-time inference compared to NeRF approaches, while still delivering high-quality reconstructions. Beyond view…

计算机视觉与模式识别 · 计算机科学 2025-11-25 Lorenzo Rutayisire , Nicola Capodieci , Fabio Pellacini

In this paper, we study random subsampling of Gaussian process regression, one of the simplest approximation baselines, from a theoretical perspective. Although subsampling discards a large part of training data, we show provable guarantees…

机器学习 · 统计学 2019-01-29 Kohei Hayashi , Masaaki Imaizumi , Yuichi Yoshida

We present the Gaussian process density sampler (GPDS), an exchangeable generative model for use in nonparametric Bayesian density estimation. Samples drawn from the GPDS are consistent with exact, independent samples from a distribution…

统计计算 · 统计学 2009-12-25 Ryan Prescott Adams , Iain Murray , David J. C. MacKay

In astronomy, upcoming space telescopes with wide-field optical instruments have a spatially varying point spread function (PSF). Specific scientific goals require a high-fidelity estimation of the PSF at target positions where no direct…

天体物理仪器与方法 · 物理学 2023-02-22 Tobias Liaudat , Jean-Luc Starck , Martin Kilbinger , Pierre-Antoine Frugier