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The segment tree is an extremely versatile data structure. In this paper, a new heap based implementation of segment trees is proposed. In such an implementation of segment tree, the structural information associated with the tree nodes can…

Data Structures and Algorithms · Computer Science 2018-07-17 Lei Wang , Xiaodong Wang

Spectral Clustering is one of the most traditional methods to solve segmentation problems. Based on Normalized Cuts, it aims at partitioning an image using an objective function defined by a graph. Despite their mathematical attractiveness,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Rahul Palnitkar , Jeova Farias Sales Rocha Neto

Hierarchies, such as the tree of shapes, are popular representations for image simplification and segmentation thanks to their multiscale structures. Selecting meaningful level lines (boundaries of shapes) yields to simplify image while…

Computer Vision and Pattern Recognition · Computer Science 2016-05-18 Yongchao Xu , Thierry Géraud , Laurent Najman

The work proposes an image segmentation algorithm that isolates slender regions in three-dimensional microstructures. Characterizing slender regions in material microstructures is an extremely important aspect in material science because…

Data Analysis, Statistics and Probability · Physics 2025-03-13 Vinit Vijay Deshpande , Romana Piat

In this paper, we introduce a framework for segmenting instances of a common object class by multiple active contour evolution over semantic segmentation maps of images obtained through fully convolutional networks. The contour evolution is…

Computer Vision and Pattern Recognition · Computer Science 2021-05-06 Przemyslaw Polewski , Jacquelyn Shelton , Wei Yao , Marco Heurich

Geodesic models are known as an efficient tool for solving various image segmentation problems. Most of existing approaches only exploit local pointwise image features to track geodesic paths for delineating the objective boundaries.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-11 Li Liu , Da Chen , Minglei Shu , Laurent D. Cohen

Machine-learning algorithms offer immense possibilities in the development of several cognitive applications. In fact, large scale machine-learning classifiers now represent the state-of-the-art in a wide range of object…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Priyadarshini Panda , Swagath Venkataramani , Abhronil Sengupta , Anand Raghunathan , Kaushik Roy

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 present a fully iterative adaptive algorithm for the numerical minimization of strongly convex energy functionals in Hilbert spaces. The proposed approach, which we first present in abstract form, generates a hierarchical sequence of…

Numerical Analysis · Mathematics 2026-02-26 Raphael Leu , Thomas P. Wihler

We study image segmentation using spatiotemporal dynamics in a recurrent neural network where the state of each unit is given by a complex number. We show that this network generates sophisticated spatiotemporal dynamics that can…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Luisa H. B. Liboni , Roberto C. Budzinski , Alexandra N. Busch , Sindy Löwe , Thomas A. Keller , Max Welling , Lyle E. Muller

In this work, we develop a localized numerical scheme with low regularity requirements for solving time-fractional integro-differential equations. First, a fully discrete numerical scheme is constructed. Specifically, for temporal…

Numerical Analysis · Mathematics 2025-12-02 Lijing Zhao , Rui Zhao , Wenyi Tian , Yufeng Nie

Existing semantic segmentation approaches either aim to improve the object's inner consistency by modeling the global context, or refine objects detail along their boundaries by multi-scale feature fusion. In this paper, a new paradigm for…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Xiangtai Li , Xia Li , Li Zhang , Guangliang Cheng , Jianping Shi , Zhouchen Lin , Shaohua Tan , Yunhai Tong

A new segmentation fusion method is proposed that ensembles the output of several segmentation algorithms applied on a remotely sensed image. The candidate segmentation sets are processed to achieve a consensus segmentation using a…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Mete Ozay , Fatos T. Yarman Vural , Sanjeev R. Kulkarni , H. Vincent Poor

The topic of semantic segmentation has witnessed considerable progress due to the powerful features learned by convolutional neural networks (CNNs). The current leading approaches for semantic segmentation exploit shape information by…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Jifeng Dai , Kaiming He , Jian Sun

We address the problem of minimizing a class of energy functions consisting of data and smoothness terms that commonly occur in machine learning, computer vision, and pattern recognition. While discrete optimization methods are able to give…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Zhakshylyk Nurlanov , Daniel Cremers , Florian Bernard

Selective segmentation is an important application of image processing. In contrast to global segmentation in which all objects are segmented, selective segmentation is used to isolate specific objects in an image and is of particular…

Numerical Analysis · Mathematics 2019-07-08 Michael Roberts , Ke Chen , Klaus L. Irion

We propose a highly structured neural network architecture for semantic segmentation with an extremely small model size, suitable for low-power embedded and mobile platforms. Specifically, our architecture combines i) a Haar wavelet-based…

Computer Vision and Pattern Recognition · Computer Science 2017-06-19 Michael Tschannen , Lukas Cavigelli , Fabian Mentzer , Thomas Wiatowski , Luca Benini

Many computer vision systems require low-cost segmentation algorithms based on deep learning, either because of the enormous size of input images or limited computational budget. Common solutions uniformly downsample the input images to…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Chen Jin , Ryutaro Tanno , Thomy Mertzanidou , Eleftheria Panagiotaki , Daniel C. Alexander

We present a real-space formulation for coarse-graining Kohn-Sham Density Functional Theory that significantly speeds up the analysis of material defects without appreciable loss of accuracy. The approximation scheme consists of two steps.…

Computational Physics · Physics 2015-06-11 Phanish Suryanarayana , Kaushik Bhattacharya , Michael Ortiz

The ability to differentiate through optimization problems has unlocked numerous applications, from optimization-based layers in machine learning models to complex design problems formulated as bilevel programs. It has been shown that…

Optimization and Control · Mathematics 2024-03-05 Lucas Fuentes Valenzuela , Robin Brown , Marco Pavone