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Scanpath prediction in 360{\deg} images can help realize rapid rendering and better user interaction in Virtual/Augmented Reality applications. However, existing scanpath prediction models for 360{\deg} images execute scanpath prediction on…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Rong Quan , Yantao Lai , Mengyu Qiu , Dong Liang

Convolutions have long been regarded as fundamental to applied mathematics, physics and engineering. Their mathematical elegance allows for common tasks such as numerical differentiation to be computed efficiently on large data sets.…

Computer Vision and Pattern Recognition · Computer Science 2016-12-30 Alexander Amini , Berthold Horn , Alan Edelman

A novel and highly efficient computational framework for reconstructing binary-type images suitable for models of various complexity seen in diverse biomedical applications is developed and validated. Efficiency in computational speed and…

Optimization and Control · Mathematics 2024-02-09 Paul R. Arbic , Vladislav Bukshtynov

The objective of ordinal embedding is to find a Euclidean representation of a set of abstract items, using only answers to triplet comparisons of the form "Is item $i$ closer to the item $j$ or item $k$?". In recent years, numerous…

Machine Learning · Computer Science 2021-10-22 Leena Chennuru Vankadara , Siavash Haghiri , Michael Lohaus , Faiz Ul Wahab , Ulrike von Luxburg

Convex polyhedral abstractions of logic programs have been found very useful in deriving numeric relationships between program arguments in order to prove program properties and in other areas such as termination and complexity analysis. We…

Programming Languages · Computer Science 2007-12-18 Kim Henriksen , Gourinath Banda , John Gallagher

Image pyramids are commonly used in modern computer vision tasks to obtain multi-scale features for precise understanding of images. However, image pyramids process multiple resolutions of images using the same large-scale model, which…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Xizhou Zhu , Xue Yang , Zhaokai Wang , Hao Li , Wenhan Dou , Junqi Ge , Lewei Lu , Yu Qiao , Jifeng Dai

Projective geometry provides the preferred framework for most implementations of Euclidean space in graphics applications. Translations and rotations are both linear transformations in projective geometry, which helps when it comes to…

Computational Geometry · Computer Science 2007-05-23 Chris Doran , Anthony Lasenby , Joan Lasenby

A method is presented to exploit adaptive integration algorithms using importance sampling, like VEGAS, for the task of scanning theoretical predictions depending on a multi-dimensional parameter space. Usually, a parameter scan is…

High Energy Physics - Phenomenology · Physics 2010-04-05 Oliver Brein

Libpsht (or "library for Performant Spherical Harmonic Transforms") is a collection of algorithms for efficient conversion between spatial-domain and spectral-domain representations of data defined on the sphere. The package supports…

Instrumentation and Methods for Astrophysics · Physics 2011-01-11 Martin Reinecke

We introduce two efficient algorithms for computing the partial Fourier transforms in one and two dimensions. Our study is motivated by the wave extrapolation procedure in reflection seismology. In both algorithms, the main idea is to…

Numerical Analysis · Mathematics 2008-02-13 Lexing Ying , Sergey Fomel

We present a simple and efficient acceleration technique for an arbitrary method for computing the Euclidean projection of a point onto a convex polytope, defined as the convex hull of a finite number of points, in the case when the number…

Optimization and Control · Mathematics 2024-10-28 M. V. Dolgopolik

In this work, we present a novel framework for constructing three-dimensional (3D) objects from two-dimensional (2D) maps, tailored for the analysis of complex structures in the interstellar medium (ISM). The framework extends the Abel…

Astrophysics of Galaxies · Physics 2025-03-26 Xunchuan Liu , Xiaofeng Mai

In this work, we use multi-view aerial images to reconstruct the geometry, lighting, and material of facades using neural signed distance fields (SDFs). Without the requirement of complex equipment, our method only takes simple RGB images…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Zixuan Xie , Rengan Xie , Rong Li , Kai Huang , Pengju Qiao , Jingsen Zhu , Xu Yin , Qi Ye , Wei Hua , Yuchi Huo , Hujun Bao

This paper propose a interactive 3D modeling method and corresponding system based on single or multiple uncalibrated images. The main feature of this method is that, according to the modeling habits of ordinary people, the 3D model of the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Zhi He , Rui Wang , Wei Hua , Yuchi Huo

Background: Digital Image Correlation (DIC) is a widely used full-field measurement technique, but both open-source and commercial packages often have limitations such as operating-system restrictions, lack of support for deployment on…

Image and Video Processing · Electrical Eng. & Systems 2026-02-02 Joel Hirst , Lorna Sibson , Adel Tayeb , Ben Poole , Megan Sampson , Wiera Bielajewa , Michael Atkinson , Alex Marsh , Rory Spencer , Rob Hamill , Cory Hamelin , Allan Harte , Lloyd Fletcher

In this paper we consider the problem of constructing numerical algorithms for approximating of convex compact bodies in d-dimensional Euclidean space by polytopes with any given accuracy. It is well known that optimal with respect to the…

Metric Geometry · Mathematics 2018-12-10 G. K. Kamenev

Hyperdimensional (HD) computing is built upon its unique data type referred to as hypervectors. The dimension of these hypervectors is typically in the range of tens of thousands. Proposed to solve cognitive tasks, HD computing aims at…

Machine Learning · Computer Science 2020-06-08 Lulu Ge , Keshab K. Parhi

Precise calibration is a must for high reliance 3D computer vision algorithms. A challenging case is when the camera is behind a protective glass or transparent object: due to refraction, the image is heavily distorted; the pinhole camera…

Computer Vision and Pattern Recognition · Computer Science 2019-09-25 Szabolcs Pável , Csanád Sándor , Lehel Csató

In this paper, a method is proposed for finding a pixel transformation function that maximizes backlight dimming while maintaining a pre-specified image distortion level for a liquid crystal display. This is achieved by finding a pixel…

Other Computer Science · Computer Science 2011-11-09 Ali Iranli , Hanif Fatemi , Massoud Pedram

We introduce ADAM, the All-Data Asteroid Modelling algorithm. ADAM is simple and universal since it handles all disk-resolved data types (adaptive optics or other images, interferometry, and range-Doppler radar data) in a uniform manner via…

Earth and Planetary Astrophysics · Physics 2015-03-18 Matti Viikinkoski , Mikko Kaasalainen , Josef Durech