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We present a neural network technique for the analysis and extrapolation of time-series data called Neural Decomposition (ND). Units with a sinusoidal activation function are used to perform a Fourier-like decomposition of training samples…

Neural and Evolutionary Computing · Computer Science 2018-06-26 Luke B. Godfrey , Michael S. Gashler

Neural implicit representations, which encode a surface as the level set of a neural network applied to spatial coordinates, have proven to be remarkably effective for optimizing, compressing, and generating 3D geometry. Although these…

Computer Vision and Pattern Recognition · Computer Science 2022-06-27 Nicholas Sharp , Alec Jacobson

A parameterized surface can be represented as a projection from a certain toric surface. This generalizes the classical homogeneous and bihomogeneous parameterizations. We extend to the toric case two methods for computing the implicit…

Algebraic Geometry · Mathematics 2007-05-23 Amit Khetan , Carlos D'Andrea

We propose a generative model of 2D and 3D natural textures with diversity, visual fidelity and at high computational efficiency. This is enabled by a family of methods that extend ideas from classic stochastic procedural texturing (Perlin…

Computer Vision and Pattern Recognition · Computer Science 2020-04-06 Philipp Henzler , Niloy J. Mitra , Tobias Ritschel

Implicit Neural Representations (INRs) have emerged as a powerful paradigm for parameterizing physical fields, yet they often suffer from spectral bias and the computational expense of non-convex optimization. We introduce the Vekua Layer…

Machine Learning · Computer Science 2025-12-15 Vladimer Khasia

Neural implicit representations have become a popular choice for modeling surfaces due to their adaptability in resolution and support for complex topology. While previous works have achieved impressive reconstruction quality by training on…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Lu Sang , Abhishek Saroha , Maolin Gao , Daniel Cremers

An implicit neural representation (INR) is a neural network that approximates a spatiotemporal function. Many memory-intensive visualization tasks, including modern 4D CT scanning methods, represent data natively as INRs. While INRs are…

Machine Learning · Computer Science 2025-12-03 Jennifer Zvonek , Andrew Gillette

Implicit neural representation (INR) has become the standard approach for arbitrary-scale image super-resolution (ASSR). To date, no empirical study has systematically examined the effectiveness of existing methods, nor investigated the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Tayyab Nasir , Daochang Liu , Ajmal Mian

Implicit neural representations (INRs) have demonstrated success in a variety of applications, including inverse problems and neural rendering. An INR is typically trained to capture one signal of interest, resulting in learned neural…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Kushal Vyas , Ahmed Imtiaz Humayun , Aniket Dashpute , Richard G. Baraniuk , Ashok Veeraraghavan , Guha Balakrishnan

Models for image representation learning are typically designed for either recognition or generation. Various forms of contrastive learning help models learn to convert images to embeddings that are useful for classification, detection, and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Matthew Gwilliam , Xiao Wang , Xuefeng Hu , Zhenheng Yang

Identifying changes in a pair of 3D aerial LiDAR point clouds, obtained during two distinct time periods over the same geographic region presents a significant challenge due to the disparities in spatial coverage and the presence of noise…

Computer Vision and Pattern Recognition · Computer Science 2023-08-31 Peter Naylor , Diego Di Carlo , Arianna Traviglia , Makoto Yamada , Marco Fiorucci

Existing 3D surface representation approaches are unable to accurately classify pixels and their orientation lying on the boundary of an object. Thus resulting in coarse representations which usually require post-processing steps to extract…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Mateusz Michalkiewicz , Jhony K. Pontes , Dominic Jack , Mahsa Baktashmotlagh , Anders Eriksson

Implicit Neural Representations (INRs) model signals as continuous, differentiable functions. However, monolithic INRs scale poorly with data dimensionality, leading to excessive training costs. We propose F-INR, a framework that addresses…

Machine Learning · Computer Science 2025-11-27 Sai Karthikeya Vemuri , Tim Büchner , Joachim Denzler

Implicit representation of an image can map arbitrary coordinates in the continuous domain to their corresponding color values, presenting a powerful capability for image reconstruction. Nevertheless, existing implicit representation…

Computer Vision and Pattern Recognition · Computer Science 2023-10-16 Canyu Zhang , Xiaoguang Li , Qing Guo , Song Wang

Many patterns in nature exhibit self-similarity: they can be compactly described via self-referential transformations. Said patterns commonly appear in natural and artificial objects, such as molecules, shorelines, galaxies and even images.…

Machine Learning · Computer Science 2022-04-19 Michael Poli , Winnie Xu , Stefano Massaroli , Chenlin Meng , Kuno Kim , Stefano Ermon

In this work, we investigate the use of spatio-temporalImplicit Neural Representations (INRs) for dynamic X-ray computed tomography (XCT) reconstruction under interlaced acquisition schemes. The proposed approach combines ADMM-based…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Mathias Boulanger , Ericmoore Jossou

We present a novel method for reconstructing a 3D implicit surface from a large-scale, sparse, and noisy point cloud. Our approach builds upon the recently introduced Neural Kernel Fields (NKF) representation. It enjoys similar…

Computer Vision and Pattern Recognition · Computer Science 2023-06-12 Jiahui Huang , Zan Gojcic , Matan Atzmon , Or Litany , Sanja Fidler , Francis Williams

The identification of repeating patterns in discrete grids is rudimentary within symbolic reasoning, algorithm synthesis and structural optimization across diverse computational domains. Although statistical approaches targeting noisy data…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Sushish Baral , Paulo Garcia , Warisa Sritriratanarak

Neural implicit representations are widely used for 3D shape modeling due to their smoothness and compactness, but traditional MLP-based methods struggle with sharp features, such as edges and corners in CAD models, and require long…

Graphics · Computer Science 2025-03-18 Guying Lin , Lei Yang , Congyi Zhang , Hao Pan , Yuhan Ping , Guodong Wei , Taku Komura , John Keyser , Wenping Wang

Deep neural networks represent a powerful class of function approximators that can learn to compress and reconstruct images. Existing image compression algorithms based on neural networks learn quantized representations with a constant…

Computer Vision and Pattern Recognition · Computer Science 2018-02-09 David Minnen , George Toderici , Michele Covell , Troy Chinen , Nick Johnston , Joel Shor , Sung Jin Hwang , Damien Vincent , Saurabh Singh
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