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We explore a generalisation of the L\'evy fractional Brownian field on the Euclidean space based on replacing the Euclidean norm with another norm. A characterisation result for admissible norms yields a complete description of all…

Probability · Mathematics 2015-05-01 Ilya Molchanov , Kostiantyn Ralchenko

3D Gaussian Splatting has achieved impressive performance in novel view synthesis with real-time rendering capabilities. However, reconstructing high-quality surfaces with fine details using 3D Gaussians remains a challenging task. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Jiepeng Wang , Yuan Liu , Peng Wang , Cheng Lin , Junhui Hou , Xin Li , Taku Komura , Wenping Wang

Gaussian scale spaces are a cornerstone of signal representation and processing, with applications in filtering, multiscale analysis, anti-aliasing, and many more. However, obtaining such a scale space is costly and cumbersome, in…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Felix Mujkanovic , Ntumba Elie Nsampi , Christian Theobalt , Hans-Peter Seidel , Thomas Leimkühler

The recent advancements in 3D Gaussian splatting (3D-GS) have not only facilitated real-time rendering through modern GPU rasterization pipelines but have also attained state-of-the-art rendering quality. Nevertheless, despite its…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Ziyi Yang , Xinyu Gao , Yangtian Sun , Yihua Huang , Xiaoyang Lyu , Wen Zhou , Shaohui Jiao , Xiaojuan Qi , Xiaogang Jin

This paper aims to improve the accuracy of texture classification based on extracting texture features using five different texture methods and classifying the patterns using a naive Bayesian classifier. Three statistical-based and two…

Computer Vision and Pattern Recognition · Computer Science 2015-12-31 Omar Al-Kadi

A generator of spatio-temporal pseudo-random Gaussian fields that satisfy the "proportionality of scales" property (Tsyroulnikov, 2001) is presented. The generator is based on a third-order in time stochastic differential equation with a…

Data Analysis, Statistics and Probability · Physics 2018-05-15 Michael Tsyrulnikov , Dmitry Gayfulin

Geometric reconstruction of opaque surfaces from images is a longstanding challenge in computer vision, with renewed interest from volumetric view synthesis algorithms using radiance fields. We leverage the geometry field proposed in recent…

Graphics · Computer Science 2025-03-31 Kaiwen Jiang , Venkataram Sivaram , Cheng Peng , Ravi Ramamoorthi

We propose a learning-based method for light-path construction in path tracing algorithms, which iteratively optimizes and samples from what we refer to as spatio-directional Gaussian mixture models (SDMMs). In particular, we approximate…

Graphics · Computer Science 2021-12-30 Ana Dodik , Marios Papas , Cengiz Öztireli , Thomas Müller

Fast, reliable shape reconstruction is an essential ingredient in many computer vision applications. Neural Radiance Fields demonstrated that photorealistic novel view synthesis is within reach, but was gated by performance requirements for…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Leonid Keselman , Martial Hebert

Texture in dense or porous ceramics can enhance their functional and structural properties. Current methods for texturation employ anisotropic particles as starting powders and processes that drive their orientation into specific…

3D Gaussian Splatting (3DGS) has recently emerged as a state-of-the-art 3D reconstruction and rendering technique due to its high-quality results and fast training and rendering time. However, pixels covered by the same Gaussian are always…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Brian Chao , Hung-Yu Tseng , Lorenzo Porzi , Chen Gao , Tuotuo Li , Qinbo Li , Ayush Saraf , Jia-Bin Huang , Johannes Kopf , Gordon Wetzstein , Changil Kim

Recently, enthusiastic studies have devoted to texture synthesis using deep neural networks, because these networks excel at handling complex patterns in images. In these models, second-order statistics, such as Gram matrix, are used to…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Zi-Ming Wang , Gui-Song Xia , Yi-Peng Zhang

Gaussian splatting techniques have shown promising results in novel view synthesis, achieving high fidelity and efficiency. However, their high reconstruction quality comes at the cost of requiring a large number of primitives. We identify…

Graphics · Computer Science 2025-07-29 Xin Zhang , Anpei Chen , Jincheng Xiong , Pinxuan Dai , Yujun Shen , Weiwei Xu

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…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Keyang Ye , Qiming Hou , Kun Zhou

3D scene stylization extends the work of neural style transfer to 3D. A vital challenge in this problem is to maintain the uniformity of the stylized appearance across multiple views. A vast majority of the previous works achieve this by…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Abhishek Saroha , Mariia Gladkova , Cecilia Curreli , Dominik Muhle , Tarun Yenamandra , Daniel Cremers

This paper presents a new approach to the estimation of the deformation of an isotropic Gaussian random field on $\mathbb{R}^2$ based on dense observations of a single realization of the deformed random field. Under this framework we…

Statistics Theory · Mathematics 2008-12-18 Ethan B. Anderes , Michael L. Stein

This paper introduces a framework designed to accurately predict piecewise linear mappings of arbitrary meshes via a neural network, enabling training and evaluating over heterogeneous collections of meshes that do not share a…

Graphics · Computer Science 2022-05-09 Noam Aigerman , Kunal Gupta , Vladimir G. Kim , Siddhartha Chaudhuri , Jun Saito , Thibault Groueix

Here we introduce a new model of natural textures based on the feature spaces of convolutional neural networks optimised for object recognition. Samples from the model are of high perceptual quality demonstrating the generative power of…

Computer Vision and Pattern Recognition · Computer Science 2015-11-09 Leon A. Gatys , Alexander S. Ecker , Matthias Bethge

Considerable recent attention has been given to the study of shape formation using modern responsive materials that can be preprogrammed to undergo spatially inhomogeneous local deformations. In particular, nematic liquid crystal polymer…

Soft Condensed Matter · Physics 2016-09-28 Cyrus Mostajeran , Taylor H. Ware , Timothy J. White

We present a novel Affine-Gradient based Local Binary Pattern (AGLBP) descriptor for texture classification. It is very hard to describe complicated texture using single type information, such as Local Binary Pattern (LBP), which just…

Computer Vision and Pattern Recognition · Computer Science 2017-05-22 You Hao , Shirui Li , Hanlin Mo , Hua Li