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A method for moving least squares interpolation and differentiation is presented in the framework of orthogonal polynomials on discrete points. This yields a robust and efficient method which can avoid singularities and breakdowns in the…

数值分析 · 数学 2010-09-21 Michael Carley

In this paper a fourth order asymptotically optimal error bound for a new cubic interpolating spline function, denoted by Q-spline, is derived for the case that only function values at given points are used but not any derivative…

数值分析 · 数学 2025-07-08 Florian Jarre

In recent years, there has been a proliferation of wide-field sky surveys to search for a variety of transient objects. Using relatively short focal lengths, the optics of these systems produce undersampled stellar images often marred by a…

天体物理学 · 物理学 2009-11-13 Fang Yuan , Carl W. Akerlof

The goal of this paper is to present a new efficient image segmentation method based on evolutionary computation which is a model inspired from human behavior. Based on this model, a four layer process for image segmentation is proposed…

计算机视觉与模式识别 · 计算机科学 2017-12-07 Roohollah Aslanzadeh , Kazem Qazanfari , Mohammad Rahmati

Local perturbations around contours strongly disturb the final result of computer vision tasks. It is common to introduce a priori information in the estimation process. Improvement can be achieved via a deformable model such as the snake…

计算机视觉与模式识别 · 计算机科学 2016-04-01 R. L. B. Breder , Vania V. Estrela , J. T. de Assis

A number of basic image processing tasks, such as any geometric transformation require interpolation at subpixel image values. In this work we utilize the multidimensional coordinate Hermite spline interpolation defined on non-equal spaced,…

计算机视觉与模式识别 · 计算机科学 2024-03-21 Konstantinos K. Delibasis , Iro Oikonomou , Aristides I. Kechriniotis , Georgios N. Tsigaridas

This paper presents a novel iterative deep learning framework and apply it for document enhancement and binarization. Unlike the traditional methods which predict the binary label of each pixel on the input image, we train the neural…

计算机视觉与模式识别 · 计算机科学 2019-01-21 Sheng He , Lambert Schomaker

Interpolation based image zooming methods provide a high execution speed and low computational complexity. However, the quality of the zoomed images is unsatisfactory in many cases. The main challenge of super- resolution methods is to…

图像与视频处理 · 电气工程与系统科学 2017-12-05 Soroush Saryazdi , Saman Saryazdi , Hossein Nezamabadi-pour

Used in the paper is an overcomplete piecewise-polynomial image model incorporating sparsity. The paper shows that using such a model, the edges in the image can be resolved robustly with respect to noise. Two variants of the proposed…

最优化与控制 · 数学 2018-10-16 Michaela Novosadová , Pavel Rajmic

Most of existing superpixel methods are designed to segment standard planar images as pre-processing for computer vision pipelines. Nevertheless, the increasing number of applications based on wide angle capture devices, mainly generating…

计算机视觉与模式识别 · 计算机科学 2021-02-16 Rémi Giraud , Rodrigo Borba Pinheiro , Yannick Berthoumieu

Medical image segmentation is vital to the area of medical imaging because it enables professionals to more accurately examine and understand the information offered by different imaging modalities. The technique of splitting a medical…

图像与视频处理 · 电气工程与系统科学 2024-09-01 Aitik Gupta , Joydip Dhar

In this paper a general theory for interpolation methods on a rectangular grid is introduced. By the use of this theory an efficient B-spline based interpolation method for spectral codes is presented. The theory links the order of the…

Combining high-level and low-level visual tasks is a common technique in the field of computer vision. This work integrates the technique of image super resolution to semantic segmentation for document image binarization. It demonstrates…

计算机视觉与模式识别 · 计算机科学 2023-06-28 Chih-Chia Chen , Wei-Han Chen , Jen-Shiun Chiang , Chun-Tse Chien , Tingkai Chang

360{\deg} spherical images have advantages of wide view field, and are typically projected on a planar plane for processing, which is known as equirectangular image. The object shape in equirectangular images can be distorted and lack…

计算机视觉与模式识别 · 计算机科学 2023-10-16 Haoqian Chen , Jian Liu , Minghe Li , Kaiwen Jiang , Ziheng Xu , Rencheng Sun , Yi Sui

The Jaccard index, also known as Intersection-over-Union (IoU), is one of the most critical evaluation metrics in image semantic segmentation. However, direct optimization of IoU score is very difficult because the learning objective is…

计算机视觉与模式识别 · 计算机科学 2021-12-23 Litao Yu , Zhibin Li , Min Xu , Yongsheng Gao , Jiebo Luo , Jian Zhang

The aim of this study is to investigate the segmentation accuracies of different segmentation networks trained on 730 manually annotated lateral lumbar spine X-rays. Instance segmentation networks were compared to semantic segmentation…

图像与视频处理 · 电气工程与系统科学 2020-04-08 Sandor Konya , Sai Natarajan T R , Hassan Allouch , Kais Abu Nahleh , Omneya Yakout Dogheim , Heinrich Boehm

The scarcity of pixel-level annotation is a prevalent problem in medical image segmentation tasks. In this paper, we introduce a novel regularization strategy involving interpolation-based mixing for semi-supervised medical image…

图像与视频处理 · 电气工程与系统科学 2022-02-04 Hritam Basak , Rajarshi Bhattacharya , Rukhshanda Hussain , Agniv Chatterjee

With the development and widespread application of digital image processing technology, image splicing has become a common method of image manipulation, raising numerous security and legal issues. This paper introduces a new splicing image…

计算机视觉与模式识别 · 计算机科学 2024-05-20 Ao Xiang , Jingyu Zhang , Qin Yang , Liyang Wang , Yu Cheng

We study image segmentation from an information-theoretic perspective, proposing a novel adversarial method that performs unsupervised segmentation by partitioning images into maximally independent sets. More specifically, we group image…

计算机视觉与模式识别 · 计算机科学 2021-06-30 Pedro Savarese , Sunnie S. Y. Kim , Michael Maire , Greg Shakhnarovich , David McAllester

Image inpainting is a restoration process which has numerous applications. Restoring of scanned old images with scratches, or removing objects in images are some of inpainting applications. Different approaches have been used for…

图像与视频处理 · 电气工程与系统科学 2018-01-03 Mehran Motmaen , Majid Mohrekesh , Mojtaba Akbari , Nader Karimi , Shadrokh Samavi