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Optical metasurfaces (subwavelength-patterned surfaces typically described by variable effective surface impedances) are typically modeled by an approximation akin to ray optics: the reflection or transmission of an incident wave at each…

The minimal geodesic models based on the Eikonal equations are capable of finding suitable solutions in various image segmentation scenarios. Existing geodesic-based segmentation approaches usually exploit image features in conjunction with…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Da Chen , Jean-Marie Mirebeau , Minglei Shu , Xuecheng Tai , Laurent D. Cohen

Existing 3D surface representation approaches are unable to accurately classify pixels and their orientation lying on the boundary of an object. Thus resulting in coarse representations which usually require post-processing steps to extract…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Mateusz Michalkiewicz , Jhony K. Pontes , Dominic Jack , Mahsa Baktashmotlagh , Anders Eriksson

This paper presents and investigates an inexact proximal gradient method for solving composite convex optimization problems characterized by an objective function composed of a sum of a full-domain differentiable convex function and a…

Optimization and Control · Mathematics 2025-04-16 Yunier Bello-Cruz , Max L. N. Gonçalves , Jefferson G. Melo , Cassandra Mohr

Segmenting an image into multiple components is a central task in computer vision. In many practical scenarios, prior knowledge about plausible components is available. Incorporating such prior knowledge into models and algorithms for image…

Computer Vision and Pattern Recognition · Computer Science 2015-09-08 Loic A. Royer , David L. Richmond , Carsten Rother , Bjoern Andres , Dagmar Kainmueller

Converting a parametric curve into the implicit form, which is called implicitization, has always been a popular but challenging problem in geometric modeling and related applications. However, the existing methods mostly suffer from the…

Graphics · Computer Science 2023-02-24 Minghao Guo , Yan Gao , Zheng Pan

The problem of image segmentation is known to become particularly challenging in the case of partial occlusion of the object(s) of interest, background clutter, and the presence of strong noise. To overcome this problem, the present paper…

Computer Vision and Pattern Recognition · Computer Science 2010-06-15 Robert Sheng Xu , Oleg Michailovich , Magdy Salama

Visual affordance segmentation identifies the surfaces of an object an agent can interact with. Common challenges for the identification of affordances are the variety of the geometry and physical properties of these surfaces as well as…

Computer Vision and Pattern Recognition · Computer Science 2025-05-12 Tommaso Apicella , Alessio Xompero , Edoardo Ragusa , Riccardo Berta , Andrea Cavallaro , Paolo Gastaldo

This paper presents a novel approach for segmenting moving objects in unconstrained environments using guided convolutional neural networks. This guiding process relies on foreground masks from independent algorithms (i.e. state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Diego Ortego , Kevin McGuinness , Juan C. SanMiguel , Eric Arazo , José M. Martínez , Noel E. O'Connor

3D Reconstruction of moving articulated objects without additional information about object structure is a challenging problem. Current methods overcome such challenges by employing category-specific skeletal models. Consequently, they do…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Hao Zhang , Fang Li , Samyak Rawlekar , Narendra Ahuja

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

For more than twenty years, Ray Tracing methods have continued to improve on both accuracy and computational time aspects. However, most state-of-the-art image-based ray tracers still rely on a description of the environment that only…

Signal Processing · Electrical Eng. & Systems 2024-01-23 Jérome Eertmans , Claude Oestges , Laurent Jacques

We introduce a method-of-lines formulation of the closest point method, a numerical technique for solving partial differential equations (PDEs) defined on surfaces. This is an embedding method, which uses an implicit representation of the…

Numerical Analysis · Mathematics 2013-07-23 Ingrid von Glehn , Thomas März , Colin B. Macdonald

Segmentation of multiple surfaces in medical images is a challenging problem, further complicated by the frequent presence of weak boundary and mutual influence between adjacent objects. The traditional graph-based optimal surface…

Computer Vision and Pattern Recognition · Computer Science 2020-07-22 Hui Xie , Zhe Pan , Leixin Zhou , Fahim A Zaman , Danny Chen , Jost B Jonas , Yaxing Wang , Xiaodong Wu

A novel method for segmenting bright objects from dark background for grayscale image is proposed. The concept of this method can be stated simply as: to pick out the local-thinnest bands on the grayscale grade-map. It turns out to be a…

Computer Vision and Pattern Recognition · Computer Science 2013-05-23 Bo Xiao , Yuefeng Jing , Yonghong Guan

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

We propose an optimization proxy in terms of iterative implicit gradient methods for solving constrained optimization problems with nonconvex loss functions. This framework can be applied to a broad range of machine learning settings,…

Optimization and Control · Mathematics 2025-10-14 Harshal D. Kaushik , Ming Jin

Many scientific and engineering applications feature nonsmooth convex minimization problems over convex sets. In this paper, we address an important instance of this broad class where we assume that the nonsmooth objective is equipped with…

Optimization and Control · Mathematics 2014-06-23 Quoc Tran Dinh , Anastasios Kyrillidis , Volkan Cevher

In this paper, a novel technique for tight outer-approximation of the intersection region of a finite number of ellipses in 2-dimensional (2D) space is proposed. First, the vertices of a tight polygon that contains the convex intersection…

Computational Geometry · Computer Science 2017-09-19 Siamak Yousefi , Xiao-Wen Chang , Henk Wymeersch , Benoit Champagne , Godfried Toussaint

We present a new and general framework for convolutional neural network operations on spherical (or omnidirectional) images. Our approach represents the surface as a graph of connected points that doesn't rely on a particular sampling…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 David Hart , Michael Whitney , Bryan Morse