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We investigate image segmentation of cells under the lens of scalar fields. Our goal is to learn a continuous scalar field on image domains such that its segmentation produces robust instances for cells present in images. This field is a…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Kevin I. Ruiz Vargas , Gabriel G. Galdino , Tsang Ing Ren , Alexandre L. Cunha

Cell counting is a ubiquitous, yet tedious task that would greatly benefit from automation. From basic biological questions to clinical trials, cell counts provide key quantitative feedback that drive research. Unfortunately, cell counting…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Carlos X. Hernández , Mohammad M. Sultan , Vijay S. Pande

Iteration method is commonly used in solving linear systems of equations. We present quantum algorithms for the relaxed row and column iteration methods by constructing unitary matrices in the iterative processes, which generalize row and…

Quantum Physics · Physics 2022-06-29 Xiao-Qi Liu , Jing Wang , Ming Li , Shu-Qian Shen , Weiguo Li , Shao-Ming Fei

We propose a novel abstraction of the image segmentation task in the form of a combinatorial optimization problem that we call the multi-separator problem. Feasible solutions indicate for every pixel whether it belongs to a segment or a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Jannik Irmai , Shengxian Zhao , Jannik Presberger , Bjoern Andres

Every year millions of people die due to disease of Cancer. Due to its invasive nature it is very complex to cure even in primary stages. Hence, only method to survive this disease completely is via forecasting by analyzing the early…

Computer Vision and Pattern Recognition · Computer Science 2018-08-24 Shivam Singh , Stuti Pathak

GANs provide a framework for training generative models which mimic a data distribution. However, in many cases we wish to train these generative models to optimize some auxiliary objective function within the data it generates, such as…

Computer Vision and Pattern Recognition · Computer Science 2017-10-02 Andrew Kyle Lampinen , David So , Douglas Eck , Fred Bertsch

When images are statistically described by a generative model we can use this information to develop optimum techniques for various image restoration problems as inpainting, super-resolution, image coloring, generative model inversion, etc.…

Image and Video Processing · Electrical Eng. & Systems 2020-06-17 Kalliopi Basioti , George V. Moustakides

Coupled natural systems are generally modeled at multiple abstraction levels. Both structural scale and behavioral complexity of these models are determinants in the kinds of questions that can be posed and answered. As scale and complexity…

Computational Engineering, Finance, and Science · Computer Science 2018-07-23 Hessam S. Sarjoughian , William A. Boyd , Miguel F. Acevedo

Photomosaic images are a type of images consisting of various tiny images. A complete form can be seen clearly by viewing it from a long distance. Small tiny images which replace blocks of the original image can be seen clearly by viewing…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Yaodong He , Jianfeng Zhou , Shiu Yin Yuen

In our paper we consider the Cell Formation Problem in Group Technology with grouping efficiency as an objective function. We present a heuristic approach for obtaining high-quality solutions of the CFP. The suggested heuristic applies an…

Discrete Mathematics · Computer Science 2017-02-24 Ilya Bychkov , Mikhail Batsyn , Panos M. Pardalos

Visual segmentation is a key perceptual function that partitions visual space and allows for detection, recognition and discrimination of objects in complex environments. The processes underlying human segmentation of natural images are…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Jonathan Vacher , Pascal Mamassian , Ruben Coen-Cagli

Image segmentation is a popular area of research in computer vision that has many applications in automated image processing. A recent technique called piecewise flat embeddings (PFE) has been proposed for use in image segmentation; PFE…

Computer Vision and Pattern Recognition · Computer Science 2016-12-21 Renee T. Meinhold , Tyler L. Hayes , Nathan D. Cahill

Set covering problem is an important class of combinatorial optimization problems, which has been widely applied and studied in many fields. In this paper, we propose an improved column generation algorithm with neural prediction (CG-P) for…

Machine Learning · Computer Science 2022-07-13 Haofeng Yuan , Peng Jiang , Shiji Song

Sequence segmentation is a well-studied problem, where given a sequence of elements, an integer K, and some measure of homogeneity, the task is to split the sequence into K contiguous segments that are maximally homogeneous. A classic…

Data Structures and Algorithms · Computer Science 2019-02-12 Nikolaj Tatti

We study the mathematical properties of a general model of cell division structured with several internal variables. We begin with a simpler and specific model with two variables, we solve the eigenvalue problem with strong or weak…

Analysis of PDEs · Mathematics 2008-10-08 Marie Doumic Jauffret

We propose a new iterative algorithm for generating a subset of eigenvalues and eigenvectors of large matrices which generalizes the method of optimal relaxations. We also give convergence criteria for the iterative process, investigate its…

General Physics · Physics 2009-11-07 F. Andreozzi , A. Porrino , N. Lo Iudice

Given a collection $L$ of line segments, we consider its arrangement and study the problem of covering all cells with line segments of $L$. That is, we want to find a minimum-size set $L'$ of line segments such that every cell in the…

Computational Geometry · Computer Science 2017-08-03 Matias Korman , Sheung-Hung Poon , Marcel Roeloffzen

Image segmentation is usually addressed by training a model for a fixed set of object classes. Incorporating additional classes or more complex queries later is expensive as it requires re-training the model on a dataset that encompasses…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Timo Lüddecke , Alexander S. Ecker

We present a new insight into the systematic generation of minimal solvers in computer vision, which leads to smaller and faster solvers. Many minimal problem formulations are coupled sets of linear and polynomial equations where image…

Computer Vision and Pattern Recognition · Computer Science 2017-03-16 Zuzana Kukelova , Joe Kileel , Bernd Sturmfels , Tomas Pajdla

Detecting manipulated images has become a significant emerging challenge. The advent of image sharing platforms and the easy availability of advanced photo editing software have resulted in a large quantities of manipulated images being…

Computer Vision and Pattern Recognition · Computer Science 2019-11-26 Peng Zhou , Bor-Chun Chen , Xintong Han , Mahyar Najibi , Abhinav Shrivastava , Ser Nam Lim , Larry S. Davis