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There is a lifting from a non-CM elliptic curve $E/\mathbb{Q}$ to a paramodular form $f$ of degree $2$ and weight $3$ given by the symmetric cube map. We find the level of $f$ in an explicit way in terms of the coefficients of the…

Number Theory · Mathematics 2021-08-19 Manami Roy

Starting from a variational formulation, we present a model for image segmentation that employs both region statistics and edge information. This combination allows for improved flexibility, making the proposed model suitable to process a…

Analysis of PDEs · Mathematics 2019-10-15 Carlos M. Paniagua Mejia

The convolution operation suffers from a limited receptive filed, while global modeling is fundamental to dense prediction tasks, such as semantic segmentation. In this paper, we apply graph convolution into the semantic segmentation task…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Xia Li , Yibo Yang , Qijie Zhao , Tiancheng Shen , Zhouchen Lin , Hong Liu

We propose and experimentally demonstrate an efficient image decomposition in the Laguerre-Gaussian (LG) domain. By developing an advanced computing method, the sampling points are much fewer than those in the existing methods, which can…

Image and Video Processing · Electrical Eng. & Systems 2020-05-19 Jiantao Ma , Dan Wei , Haocheng Yang , Yong Zhang , Min Xiao

This work examines the use of a fully convolutional net (FCN) to find an image segment, given a pixel within this segment region. The net receives an image, a point in the image and a region of interest (RoI ) mask. The net output is a…

Computer Vision and Pattern Recognition · Computer Science 2019-02-26 Sagi Eppel

How to obtain a graph from data samples is an important problem in graph signal processing. One way to formulate this graph learning problem is based on Gaussian maximum likelihood estimation, possibly under particular topology constraints.…

Signal Processing · Electrical Eng. & Systems 2017-11-02 Keng-Shih Lu , Antonio Ortega

Face parsing is defined as the per-pixel labeling of images containing human faces. The labels are defined to identify key facial regions like eyes, lips, nose, hair, etc. In this work, we make use of the structural consistency of the human…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Mausoom Sarkar , Nikitha SR , Mayur Hemani , Rishabh Jain , Balaji Krishnamurthy

A general framework of spatio-spectral segmentation for multi-spectral images is introduced in this paper. The method is based on classification-driven stochastic watershed (WS) by Monte Carlo simulations, and it gives more regular and…

Computer Vision and Pattern Recognition · Computer Science 2016-02-10 Guillaume Noyel , Jesus Angulo , Dominique Jeulin

Segmentation is often an essential intermediate step in image analysis. A volume segmentation characterizes the underlying volume image in terms of geometric information--segments, faces between segments, curves in which several faces…

Computational Geometry · Computer Science 2010-10-01 Bjoern Andres , Ullrich Koethe , Thorben Kroeger , Fred A. Hamprecht

A wide range of techniques can be considered for segmentation of images of nanostructured surfaces. Manually segmenting these images is time-consuming and results in a user-dependent segmentation bias, while there is currently no consensus…

Image and Video Processing · Electrical Eng. & Systems 2020-08-31 Steff Farley , Jo E. A. Hodgkinson , Oliver M. Gordon , Joanna Turner , Andrea Soltoggio , Philip J. Moriarty , Eugenie Hunsicker

A levelset free but a hybrid image segmentation approach based on a modified version of the piece wise constant shape gradient of an Mumford Shah shape functional and a repulsive function is considered. The segmentation is performed a…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Shafeequdheen Palengara , Jyotiranjan Nayak , Vijayakrishna Rowthu

In this paper we present a methodology that uses convolutional neural networks (CNNs) for segmentation by iteratively growing predicted mask regions in each coordinate direction. The CNN is used to predict class probability scores in a…

Image and Video Processing · Electrical Eng. & Systems 2020-09-25 John Lagergren , Erica Rutter , Kevin Flores

Image segmentation is a fundamental and challenging task in image processing and computer vision. The color image segmentation is attracting more attention due to the color image provides more information than the gray image. In this paper,…

Image and Video Processing · Electrical Eng. & Systems 2021-03-18 Tingting Wu , Xiaoyu Gu , Jinbo Shao , Ruoxuan Zhou , Zhi Li

We introduce a new spectral method for image segmentation that incorporates long range relationships for global appearance modeling. The approach combines two different graphs, one is a sparse graph that captures spatial relationships…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Jeova F. S. Rocha Neto , Pedro F. Felzenszwalb

An efficient spatial regularization method using superpixel segmentation and graph Laplacian regularization is proposed for sparse hyperspectral unmixing method. Since it is likely to find spectrally similar pixels in a homogeneous region,…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Taner Ince

Graph-based video segmentation methods rely on superpixels as starting point. While most previous work has focused on the construction of the graph edges and weights as well as solving the graph partitioning problem, this paper focuses on…

Computer Vision and Pattern Recognition · Computer Science 2016-11-24 Anna Khoreva , Rodrigo Benenson , Fabio Galasso , Matthias Hein , Bernt Schiele

A shape filter is presented to repair segmentation results obtained in calcium imaging of neurons in vivo. This post-segmentation algorithm can automatically smooth the shapes obtained from a preliminary segmentation, while precluding the…

Image and Video Processing · Electrical Eng. & Systems 2018-06-04 Jie Wang , Zhongxiao Fu , Nasrin Sadeghzadehyazdi , Jonathan Kipnis , Scott T. Acton

Most point cloud compression methods operate in the voxel or octree domain which is not the original representation of point clouds. Those representations either remove the geometric information or require high computational power for…

Image and Video Processing · Electrical Eng. & Systems 2022-06-23 Dat Thanh Nguyen , Andre Kaup

In motion planning problems for autonomous robots, such as self-driving cars, the robot must ensure that its planned path is not in close proximity to obstacles in the environment. However, the problem of evaluating the proximity is…

Robotics · Computer Science 2019-06-21 Arun Lakshmanan , Andrew Patterson , Venanzio Cichella , Naira Hovakimyan

We construct a surface that is obtained from the octahedron by pushing out 4 of the faces so that the curvature is supported in a copy of the Sierpinski gasket in each of them, and is essentially the self similar measure on SG. We then…

Analysis of PDEs · Mathematics 2020-07-15 Iancu Dima , Rachel Popp , Robert S. Strichartz , Samuel C. Wiese