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Mathematical morphology (MM) helps to describe and analyze shapes using set theory. MM can be effectively applied to binary images which are treated as sets. Basic morphological operators defined can be used as an effective tool in image…

Computer Vision and Pattern Recognition · Computer Science 2015-07-28 Keerthana S. Prakash , R. P. Prakash , V. P. Binu

Mathematical morphology is a theory and technique to collect features like geometric and topological structures in digital images. Given a target image, determining suitable morphological operations and structuring elements is a cumbersome…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Yucong Shen , Xin Zhong , Frank Y. Shih

The focus of this article is to develop computationally efficient mathematical morphology operators on hypergraphs. To this aim we consider lattice structures on hypergraphs on which we build morphological operators. We develop a pair of…

Discrete Mathematics · Computer Science 2014-02-19 V. Bino Sebastian , A Unnikrishnan , Kannan Balakrishnan , P. B Ramkumar

Deep Neural Networks (DNNs) are generated by sequentially performing linear and non-linear processes. Using a combination of linear and non-linear procedures is critical for generating a sufficiently deep feature space. The majority of…

Computer Vision and Pattern Recognition · Computer Science 2022-07-29 Yufei Hu , Nacim Belkhir , Jesus Angulo , Angela Yao , Gianni Franchi

We propose approaches based on deep learning to localize objects in images when only a small training dataset is available and the images have low quality. That applies to many problems in medical image processing, and in particular to the…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Aaron Pries , Peter J. Schreier , Artur Lamm , Stefan Pede , Jürgen Schmidt

Mathematical morphology contributes many profitable tools to image processing area. Some of these methods considered to be basic but the most important fundamental of data processing in many various applications. In this paper, we modify…

Category Theory · Mathematics 2020-09-15 Hossein Memarzadeh Sharifipour , Bardia Yousefi

In this paper we consider the fundamental operations dilation and erosion of mathematical morphology. Many powerful image filtering operations are based on their combinations. We establish homomorphism between max-plus semi-ring of integers…

Image and Video Processing · Electrical Eng. & Systems 2023-05-05 Vivek Sridhar , Keyvan Shahin , Michael Breuß , Marc Reichenbach

The field of mathematical morphology offers well-studied techniques for image processing. In this work, we view morphological operations through the lens of persistent homology, a tool at the heart of the field of topological data analysis.…

Computational Geometry · Computer Science 2021-03-25 Yu-Min Chung , Sarah Day , Chuan-Shen Hu

The recent impressive results of deep learning-based methods on computer vision applications brought fresh air to the research and industrial community. This success is mainly due to the process that allows those methods to learn…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Keiller Nogueira , Jocelyn Chanussot , Mauro Dalla Mura , Jefersson A. dos Santos

Connected operators are filtering tools that act by merging elementary regions of an image. A popular strategy is based on tree-based image representations: for example, one can compute an attribute on each node of the tree and keep only…

Computer Vision and Pattern Recognition · Computer Science 2012-07-17 Yongchao Xu , Thierry Géraud , Laurent Najman

We define morphological operators and filters for directional images whose pixel values are unit vectors. This requires an ordering relation for unit vectors which is obtained by using depth functions. They provide a centre-outward ordering…

Statistics Theory · Mathematics 2023-11-20 Konstantin Hauch , Claudia Redenbach

Thinning is the removal of contour pixels/points of connected components in an image to produce their skeleton with retained connectivity and structural properties. The output requirements of a thinning procedure often vary with…

Computer Vision and Pattern Recognition · Computer Science 2017-11-20 Himanshu Jain , Archana Praveen Kumar

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

Recently, some hypergraph-based methods have been proposed to deal with the problem of model fitting in computer vision, mainly due to the superior capability of hypergraph to represent the complex relationship between data points. However,…

Computer Vision and Pattern Recognition · Computer Science 2020-02-14 Shuyuan Lin , Guobao Xiao , Yan Yan , David Suter , Hanzi Wang

Sampling is a basic operation in image processing. In classic literature, a morphological sampling theorem has been established, which shows how sampling interacts by morphological operations with image reconstruction. Many aspects of…

Image and Video Processing · Electrical Eng. & Systems 2023-05-23 Vivek Sridhar , Michael Breuß

The shapes and morphology of the organs and tissues are important prior knowledge in medical imaging recognition and segmentation. The morphological operation is a well-known method for morphological feature extraction. As the morphological…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Chentian Li , Chi Ma , William W. Lu

In this work we study the framework of mathematical morphology on simplicial complex spaces. Simplicial complexes are widely used to represent multidimensional data, such as meshes, that are two dimensional complexes, or graphs, that can be…

Discrete Mathematics · Computer Science 2014-01-23 Fabio Dias , Jean Cousty , Laurent Najman

A new set of mathematical morphology (MM) operators adaptive to illumination changes caused by variation of exposure time or light intensity is defined thanks to the Logarithmic Image Processing (LIP) model. This model based on the physics…

Computer Vision and Pattern Recognition · Computer Science 2019-04-22 Guillaume Noyel

We present a method for performing hierarchical object detection in images guided by a deep reinforcement learning agent. The key idea is to focus on those parts of the image that contain richer information and zoom on them. We train an…

Computer Vision and Pattern Recognition · Computer Science 2016-11-28 Miriam Bellver , Xavier Giro-i-Nieto , Ferran Marques , Jordi Torres

In this technical report, we investigate efficient representations of articulated objects (e.g. human bodies), which is an important problem in computer vision and graphics. To deform articulated geometry, existing approaches represent…

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