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This paper presents a high-order accurate numerical quadrature algorithm for evaluating integrals over curved surfaces and regions defined implicitly via a level set of a given function restricted to a hyperrectangle. The domain is divided…

Numerical Analysis · Mathematics 2025-06-17 Zibo Zhao

We make use of the complex implicit representation in order to provide a deterministic algorithm for checking whether or not two implicit algebraic curves are related by a similarity, a central question in Pattern Recognition and Computer…

Algebraic Geometry · Mathematics 2015-05-25 Juan Gerardo Alcázar , Gema M. Diaz-Toca , Carlos Hermosa

Dynamic systems are ubiquitous in nature and are used to model many processes in biology, chemistry, physics, medicine, and engineering. In particular, systems of ordinary differential equations are commonly used for the mathematical…

Statistics Theory · Mathematics 2016-02-19 Ivan Vujačić , Itai Dattner

Computer Vision is growing day by day in terms of user specific applications. The first step of any such application is segmenting an image. In this paper, we propose a novel and grass-root level image segmentation algorithm for cases in…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Viraj Mavani , Ayesha Gurnani , Jhanvi Shah

Image recognition is the need of the hour. In order to be able to recognize an image, it is of immense importance that the image should be distinguishable from the background. In the present work, an approach is presented for automatic…

Computer Vision and Pattern Recognition · Computer Science 2016-04-08 Vivek Kumar , Sumit Pandey , Amrindra Pal , Sandeep Sharma

Classic algorithms and machine learning systems like neural networks are both abundant in everyday life. While classic computer science algorithms are suitable for precise execution of exactly defined tasks such as finding the shortest path…

Machine Learning · Computer Science 2022-09-02 Felix Petersen

Incremental computation aims to compute more efficiently on changed input by reusing previously computed results. We give a high-level overview of works on incremental computation, and highlight the essence underlying all of them, which we…

Programming Languages · Computer Science 2025-10-15 Yanhong A. Liu

Superpixel algorithms are a common pre-processing step for computer vision algorithms such as segmentation, object tracking and localization. Many superpixel methods only rely on colors features for segmentation, limiting performance in…

Computer Vision and Pattern Recognition · Computer Science 2019-03-13 Thomas Verelst , Matthew Blaschko , Maxim Berman

This study introduces a novel unsupervised medical image feature extraction method that employs spatial stratification techniques. An objective function based on weight is proposed to achieve the purpose of fast image recognition. The…

Image and Video Processing · Electrical Eng. & Systems 2024-06-28 Qishi Zhan , Dan Sun , Erdi Gao , Yuhan Ma , Yaxin Liang , Haowei Yang

A quantum edge detector for image segmentation in optical environments is presented in this work. A Boolean version of the same detector is presented too. The quantum version of the new edge detector works with computational basis states,…

Computer Vision and Pattern Recognition · Computer Science 2014-09-11 Mario Mastriani

In Computer Vision, edge detection is one of the favored approaches for feature and object detection in images since it provides information about their objects boundaries. Other region-based approaches use probabilistic analysis such as…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Dominique Beaini , Sofiane Achiche , Fabrice Nonez , Maxime Raison

Image segmentation is the process of partitioning a image into different regions or groups based on some characteristics like color, texture, motion or shape etc. Active contours is a popular variational method for object segmentation in…

Computer Vision and Pattern Recognition · Computer Science 2013-11-12 Sumukh Bansal , Aditya Tatu

In this paper, we formulate a simple algorithm that detects contours around a region of interest in an image. After an initial smoothing, the method is based on viewing an image as a topographic surface and finding convex and/or concave…

Image and Video Processing · Electrical Eng. & Systems 2019-05-31 Victor Churchill

We provide criteria for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. These criteria reduce the projection problem to a certain…

Computer Vision and Pattern Recognition · Computer Science 2015-03-14 Joseph M. Burdis , Irina A. Kogan

The first contribution of this paper is architecture of a multipurpose system, which delegates a range of object detection tasks to a classifier, applied in special grid positions of the tested image. The second contribution is Gray…

Computer Vision and Pattern Recognition · Computer Science 2013-12-10 Andrew Gleibman

Representing visual signals with implicit coordinate-based neural networks, as an effective replacement of the traditional discrete signal representation, has gained considerable popularity in computer vision and graphics. In contrast to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Xin Huang , Qi Zhang , Ying Feng , Hongdong Li , Qing Wang

We give an algorithm to compute inhomogeneous differential equations for definite integrals with parameters. The algorithm is based on the integration algorithm for $D$-modules by Oaku. Main tool in the algorithm is the Gr\"obner basis…

Algebraic Geometry · Mathematics 2010-07-15 Hiromasa Nakayama , Kenta Nishiyama

This paper discusses a new method to solve definite integrals using artificial neural networks. The objective is to build a neural network that would be a novel alternative to pre-established numerical methods and with the help of a…

Machine Learning · Computer Science 2019-04-23 Satyasaran Changdar , Snehangshu Bhattacharjee

The use of explicit object detectors as an intermediate step to image captioning - which used to constitute an essential stage in early work - is often bypassed in the currently dominant end-to-end approaches, where the language model is…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Josiah Wang , Pranava Madhyastha , Lucia Specia

We use neural network algorithms for finding compression methods of images in the framework of iterated function systems which is a collection of the transformations of the interval $(0, 1)$ satisfying suitable properties.

Image and Video Processing · Electrical Eng. & Systems 2023-06-22 Orchidea Maria Lecian , Brunello Tirozzi
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