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We propose a novel iterative numerical method to solve the three-dimensional inverse obstacle scattering problem of recovering the shape of the obstacle from far-field measurements. To address the inherent ill-posed nature of the inverse…

Numerical Analysis · Mathematics 2024-04-18 Junqing Chen , Bangti Jin , Haibo Liu

This paper proposes a deep-learning-based method for recovering a signed distance function (SDF) of a given hypersurface represented by an implicit level set function. Using the flexibility of constructing a neural network, we use an…

Numerical Analysis · Mathematics 2023-05-16 Yesom Park , Chang hoon Song , Jooyoung Hahn , Myungjoo Kang

The task of automatically segmenting 3-D surfaces representing boundaries of objects is important for quantitative analysis of volumetric images, and plays a vital role in biomedical image analysis. Recently, graph-based methods with a…

Computer Vision and Pattern Recognition · Computer Science 2018-01-10 Abhay Shah , Michael Abramoff , Xiaodong Wu

Recent advances in 3D deep learning have shown that it is possible to train highly effective deep models for 3D shape generation, directly from 2D images. This is particularly interesting since the availability of 3D models is still limited…

Computer Vision and Pattern Recognition · Computer Science 2019-11-05 Shichen Liu , Shunsuke Saito , Weikai Chen , Hao Li

In this paper, we propose a new inexact version of the projected subgradient method to solve nondifferentiable constrained convex optimization problems. The method combine $\epsilon$-subgradient method with a procedure to obtain a feasible…

Optimization and Control · Mathematics 2020-06-17 Ademir Alves Aguiar , Orizon Pereira Ferreira , Leandro da Fonseca Prudente

A new exact projective penalty method is proposed for the equivalent reduction of constrained optimization problems to nonsmooth unconstrained ones. In the method, the original objective function is extended to infeasible points by summing…

Optimization and Control · Mathematics 2023-12-05 Vladimir Norkin

In autonomous Vehicles technology Image segmentation was a major problem in visual perception. This image segmentation process is mainly used in medical applications. Here we adopted an image segmentation process to visual perception tasks…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Tirumalapudi Raviteja , Rajay Vedaraj . I. S

The classical convex feasibility problem in a finite dimensional Euclidean space is studied in the present paper. We are interested in two cases. First, we assume to know how to compute an exact project onto one of the sets involved and the…

Optimization and Control · Mathematics 2019-12-10 R. Díaz Millán , O. P. Ferreira , L. F. Prudente

We introduce an efficient and scalable method for density-based multi-material topology optimization, integrating classical mirror descent techniques with point-wise polytopal design constraints. Such constraints arise naturally in this…

Numerical Analysis · Mathematics 2026-05-15 Peter Gangl , Brendan Keith , Dohyun Kim , Boyan S. Lazarov , Thomas M. Surowiec

In this paper, we propose a novel computational implicit method, which we call Isogeometric Residual Minimization (iGRM) with direction splitting. The method mixes the benefits resulting from isogeometric analysis, implicit dynamics,…

Numerical Analysis · Mathematics 2021-03-09 Marcin Los , Judit Munoz-Matute , Ignacio Muga , Maciej Paszynski

We suggest a finite element method for computing minimal surfaces based on computing a discrete Laplace-Beltrami operator operating on the coordinates of the surface. The surface is a discrete representation of the zero level set of a…

Numerical Analysis · Mathematics 2014-03-17 Mirza Cenanovic , Peter Hansbo , Mats G. Larson

We propose a novel guided interactive segmentation (GIS) algorithm for video objects to improve the segmentation accuracy and reduce the interaction time. First, we design the reliability-based attention module to analyze the reliability of…

Computer Vision and Pattern Recognition · Computer Science 2021-04-22 Yuk Heo , Yeong Jun Koh , Chang-Su Kim

We tackle the problem of generating novel-view images from collections of 2D images showing refractive and reflective objects. Current solutions assume opaque or transparent light transport along straight paths following the…

Image segmentation is still an open problem especially when intensities of the interested objects are overlapped due to the presence of intensity inhomogeneity (also known as bias field). To segment images with intensity inhomogeneities, a…

Computer Vision and Pattern Recognition · Computer Science 2018-03-09 Chaolu Feng

Camera localization is a fundamental and key component of autonomous driving vehicles and mobile robots to localize themselves globally for further environment perception, path planning and motion control. Recently end-to-end approaches…

Computer Vision and Pattern Recognition · Computer Science 2020-05-14 Mi Tian , Qiong Nie , Hao Shen

Image segmentation is a fundamental and challenging task in image processing and computer vision. The color image segmentation is attracting more attention due to the color image provides more information than the gray image. In this paper,…

Image and Video Processing · Electrical Eng. & Systems 2021-03-18 Tingting Wu , Xiaoyu Gu , Jinbo Shao , Ruoxuan Zhou , Zhi Li

Video segmentation consists of a frame-by-frame selection process of meaningful areas related to foreground moving objects. Some applications include traffic monitoring, human tracking, action recognition, efficient video surveillance, and…

Computer Vision and Pattern Recognition · Computer Science 2022-12-22 Daniel F. S. Santos , Rafael G. Pires , Danilo Colombo , João P. Papa

This work introduces a new approach to reduce the computational cost of solving partial differential equations (PDEs) with convection-dominated solutions: model reduction with implicit feature tracking. Traditional model reduction…

Numerical Analysis · Mathematics 2021-10-01 Marzieh Alireza Mirhoseini , Matthew J. Zahr

Radiance Fields have become a powerful tool for modeling 3D scenes from multiple images. However, they remain difficult to segment into semantically meaningful regions. Some methods work well using 2D semantic masks, but they generalize…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Corentin Dumery , Aoxiang Fan , Ren Li , Nicolas Talabot , Pascal Fua

We present a proximal gradient method for solving convex multiobjective optimization problems, where each objective function is the sum of two convex functions, with one assumed to be continuously differentiable. The algorithm incorporates…

Optimization and Control · Mathematics 2024-04-18 Yunier Bello-Cruz , J. G. Melo , L. F. Prudente , R. V. G. Serra
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