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We present a new method for stochastic shape optimisation of engineering structures. The method generalises an existing deterministic scheme, in which the structure is represented and evolved by a level-set method coupled with mathematical…

Statistical Mechanics · Physics 2017-09-13 Lester O. Hedges , H. Alicia Kim , Robert L. Jack

The classical level set method, which represents the boundary of the unknown geometry as the zero-level set of a function, has been shown to be very effective in solving shape optimization problems. The present work addresses the issue of…

Optimization and Control · Mathematics 2025-10-20 Oleg Alexandrov , Fadil Santosa

In this paper, we introduce a novel parametric method for segmentation of three-dimensional images. We consider a piecewise constant version of the Mumford-Shah and the Chan-Vese functionals and perform a region-based segmentation of 3D…

Computer Vision and Pattern Recognition · Computer Science 2015-06-24 Heike Benninghoff , Harald Garcke

This paper proposes a novel training model based on shape and appearance features for object segmentation in images and videos. Whereas most such models rely on two-dimensional appearance templates or a finite set of descriptors, our…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Martin Mueller , Navdeep Dahiya , Anthony Yezzi

A functional for joint variational object segmentation and shape matching is developed. The formulation is based on optimal transport w.r.t. geometric distance and local feature similarity. Geometric invariance and modelling of…

Computer Vision and Pattern Recognition · Computer Science 2014-12-30 Bernhard Schmitzer , Christoph Schnörr

In this paper, we propose a method for image-set classification based on convex cone models. Image set classification aims to classify a set of images, which were usually obtained from video frames or multi-view cameras, into a target…

Computer Vision and Pattern Recognition · Computer Science 2019-03-18 Naoya Sogi , Rui Zhu , Jing-Hao Xue , Kazuhiro Fukui

Although the preservation of shape continuity and physiological anatomy is a natural assumption in the segmentation of medical images, it is often neglected by deep learning methods that mostly aim for the statistical modeling of input data…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Yousef Yeganeh , Azade Farshad , Goktug Guevercin , Amr Abu-zer , Rui Xiao , Yongjian Tang , Ehsan Adeli , Nassir Navab

Thesedays, Convolutional Neural Networks are widely used in semantic segmentation. However, since CNN-based segmentation networks produce low-resolution outputs with rich semantic information, it is inevitable that spatial details (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2019-10-03 Youngeun Kim , Seunghyeon Kim , Taekyung Kim , Changick Kim

Purpose: Lung nodule segmentation, i.e., the algorithmic delineation of the lung nodule surface, is a fundamental component of computational nodule analysis pipelines. We propose a new method for segmentation that is a machine learning…

Image and Video Processing · Electrical Eng. & Systems 2021-01-20 Matthew C Hancock , Jerry F Magnan

Image segmentation is the process of partitioning an image into a set of meaningful regions according to some criteria. Hierarchical segmentation has emerged as a major trend in this regard as it favors the emergence of important regions at…

Machine Learning · Statistics 2018-02-21 Amin Fehri , Santiago Velasco-Forero , Fernand Meyer

In this paper, we focus on the problem of category-level object pose estimation, which is challenging due to the large intra-category shape variation. 3D graph convolution (3D-GC) based methods have been widely used to extract local…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Linfang Zheng , Chen Wang , Yinghan Sun , Esha Dasgupta , Hua Chen , Ales Leonardis , Wei Zhang , Hyung Jin Chang

Seeking the convex hull of an object is a very fundamental problem arising from various tasks. In this work, we propose two variational convex hull models using level set representation for 2-dimensional data. The first one is an exact…

Computer Vision and Pattern Recognition · Computer Science 2019-08-12 Lingfeng Li , Shousheng Luo , Xue-Cheng Tai , Jiang Yang

We propose a novel approach for image segmentation that combines Neural Ordinary Differential Equations (NODEs) and the Level Set method. Our approach parametrizes the evolution of an initial contour with a NODE that implicitly learns from…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Rafael Valle , Fitsum Reda , Mohammad Shoeybi , Patrick Legresley , Andrew Tao , Bryan Catanzaro

Segmentation, a useful/powerful technique in pattern recognition, is the process of identifying object outlines within images. There are a number of efficient algorithms for segmentation in Euclidean space that depend on the variational…

Computer Vision and Pattern Recognition · Computer Science 2019-11-12 Xiaohao Cai , Christopher G. R. Wallis , Jennifer Y. H. Chan , Jason D. McEwen

All imaging modalities such as computed tomography (CT), emission tomography and magnetic resonance imaging (MRI) require a reconstruction approach to produce an image. A common image processing task for applications that utilise those…

Medical image segmentation remains challenging due to intensity inhomogeneity, noise, blurred boundaries, and irregular structures. Traditional level set methods, while effective in certain cases, often depend on approximate bias field…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Wenqi Zhao , Jiacheng Sang , Fenghua Cheng , Yonglu Shu , Dong Li , Xiaofeng Yang

The widespread use of vector graphics creates a significant demand for vectorization methods. While recent learning-based techniques have shown their capability to create vector images of clear topology, filling these primitives with…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Hengyu Zhou , Hui Zhang , Bin Wang

In this paper, we propose a novel object-level mapping system that can simultaneously segment, track, and reconstruct objects in dynamic scenes. It can further predict and complete their full geometries by conditioning on reconstructions…

Computer Vision and Pattern Recognition · Computer Science 2022-08-11 Binbin Xu , Andrew J. Davison , Stefan Leutenegger

In this paper, we present a new image segmentation method based on the concept of sparse subset selection. Starting with an over-segmentation, we adopt local spectral histogram features to encode the visual information of the small segments…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Fariba Zohrizadeh , Mohsen Kheirandishfard , Farhad Kamangar

In this paper, a multi-scale framework with local region based active contour and boundary shape similarity constraint is proposed for the segmentation of levator hiatus in ultrasound images. In this paper, we proposed a multiscale active…

Computer Vision and Pattern Recognition · Computer Science 2019-01-14 Xinling Zhang , Xu Li , Ying Chen , Yixin Gan , Dexing Kong , Rongqin Zheng