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In this paper we present a new dynamical systems algorithm for clustering in hyperspectral images. The main idea of the algorithm is that data points are \`pushed\' in the direction of increasing density and groups of pixels that end up in…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 William F. Basener , Alexey Castrodad , David Messinger , Jennifer Mahle , Paul Prue

Image matting refers to extracting precise alpha matte from natural images, and it plays a critical role in various downstream applications, such as image editing. Despite being an ill-posed problem, traditional methods have been trying to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Jizhizi Li , Jing Zhang , Dacheng Tao

Image manipulation detection algorithms are often trained to discriminate between images manipulated with particular Generative Models (GMs) and genuine/real images, yet generalize poorly to images manipulated with GMs unseen in the…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Vishal Asnani , Xi Yin , Tal Hassner , Sijia Liu , Xiaoming Liu

We transpose an optimal control technique to the image segmentation problem. The idea is to consider image segmentation as a parameter estimation problem. The parameter to estimate is the color of the pixels of the image. We use the…

Numerical Analysis · Mathematics 2011-05-24 Hend Ben Ameur , Guy Chavent , Francois Clément , Pierre Weis

Creative processes such as painting often involve creating different components of an image one by one. Can we build a computational model to perform this task? Prior works often fail by making global changes to the image, inserting objects…

Computer Vision and Pattern Recognition · Computer Science 2024-12-25 Alper Canberk , Maksym Bondarenko , Ege Ozguroglu , Ruoshi Liu , Carl Vondrick

The Grad-CAM algorithm provides a way to identify what parts of an image contribute most to the output of a classifier deep network. The algorithm is simple and widely used for localization of objects in an image, although some researchers…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Miguel Lerma , Mirtha Lucas

Medical Informatics and the application of modern signal processing in the assistance of the diagnostic process in medical imaging is one of the more recent and active research areas today. This thesis addresses a variety of issues related…

Computer Vision and Pattern Recognition · Computer Science 2009-10-20 Harris Georgiou

Efficient and accurate object detection is an important topic in the development of computer vision systems. With the advent of deep learning techniques, the accuracy of object detection has increased significantly. The project aims to…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Md Pranto , Omar Faruk

In the recent time deep learning has achieved huge popularity due to its performance in various machine learning algorithms. Deep learning as hierarchical or structured learning attempts to model high level abstractions in data by using a…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Parth Shah , Vishvajit Bakrola , Supriya Pati

We review results of papers written on the topic of polynomial amoebas with an emphasis on computational aspects of the topic. The polynomial amoebas have a lot of applications in various domains of science. Computation of the amoeba for a…

Complex Variables · Mathematics 2022-11-18 Vitaly A. Krasikov

We design a Quasi-Polynomial time deterministic approximation algorithm for computing the integral of a multi-dimensional separable function, supported by some underlying hyper-graph structure, appropriately defined. Equivalently, our…

Data Structures and Algorithms · Computer Science 2024-02-14 David Gamarnik , Devin Smedira

Bayesian probabilistic numerical methods are a set of tools providing posterior distributions on the output of numerical methods. The use of these methods is usually motivated by the fact that they can represent our uncertainty due to…

Computation · Statistics 2018-08-01 Xiaoyue Xi , François-Xavier Briol , Mark Girolami

Estimating and rectifying the orientation angle of any image is a pretty challenging task. Initial work used the hand engineering features for this purpose, where after the invention of deep learning using convolution-based neural network…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Subhadip Maji , Smarajit Bose

We present a continuous formulation of machine learning, as a problem in the calculus of variations and differential-integral equations, in the spirit of classical numerical analysis. We demonstrate that conventional machine learning models…

Numerical Analysis · Mathematics 2020-10-02 Weinan E , Chao Ma , Lei Wu

Photo retouching enables photographers to invoke dramatic visual impressions by artistically enhancing their photos through stylistic color and tone adjustments. However, it is also a time-consuming and challenging task that requires…

Computer Vision and Pattern Recognition · Computer Science 2018-07-18 Zhicheng Yan , Hao Zhang , Baoyuan Wang , Sylvain Paris , Yizhou Yu

We examine a variety of numerical methods that arise when considering dynamical systems in the context of physics-based simulations of deformable objects. Such problems arise in various applications, including animation, robotics, control…

Graphics · Computer Science 2021-08-19 Uri M. Ascher , Egor Larionov , Seung Heon Sheen , Dinesh K. Pai

The Fundamental Theorem of Integral Calculus links the integrand and its antiderivative via a simple first order differential equation. A numerical solution of this ode yields the antiderivative and hence the required integral. This…

General Mathematics · Mathematics 2017-04-11 N. Mohankumar , Soubhadra Sen , A. Natarajan

The central purpose of this article is to establish new inverse and implicit function theorems for differentiable maps with isolated critical points. One of the key ingredients is a discovery of the fact that differentiable maps with…

Classical Analysis and ODEs · Mathematics 2021-04-02 Liangpan Li

In this work, we propose a new paradigm of iterative model-based reconstruction algorithms for providing real-time solution for zooming-in and refining a region of interest in medical and clinical tomographic images. This algorithmic…

Image and Video Processing · Electrical Eng. & Systems 2025-12-01 Junqi Tang , Guixian Xu , Jinglai Li

Local algorithms are common tools for estimating intrinsic volumes from black-and-white digital images. However, these algorithms are typically biased in the design based setting, even when the resolution tends to infinity. Moreover, images…

Statistics Theory · Mathematics 2014-02-11 Anne Marie Svane