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Surface reconstruction from point clouds is a fundamental step in many applications in computer vision. In this paper, we develop an efficient iterative method on a variational model for the surface reconstruction from point clouds. The…

Numerical Analysis · Mathematics 2020-05-26 Dong Wang

This paper presents a novel approach for the differentiable rendering of convex polyhedra, addressing the limitations of recent methods that rely on implicit field supervision. Our technique introduces a strategy that combines…

Graphics · Computer Science 2024-07-23 Daxuan Ren , Haiyi Mei , Hezi Shi , Jianmin Zheng , Jianfei Cai , Lei Yang

Isocontours in road networks represent the area that is reachable from a source within a given resource limit. We study the problem of computing accurate isocontours in realistic, large-scale networks. We propose polygons with minimum…

Data Structures and Algorithms · Computer Science 2016-02-05 Moritz Baum , Thomas Bläsius , Andreas Gemsa , Ignaz Rutter , Franziska Wegner

Image smoothing is by reducing pixel-wise gradients to smooth out details. As existing methods always rely on gradients to determine smoothing manners, it is difficult to distinguish structures and details to handle distinctively due to the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Shengchun Wang , Wencheng Wang , Fei Hou

This work studies path planning in two-dimensional space, in the presence of polygonal obstacles. We specifically address the problem of building a roadmap graph, that is, an abstract representation of all the paths that can potentially be…

Computational Geometry · Computer Science 2016-06-08 Stéphane Lens , Bernard Boigelot

Triangulated meshes have become ubiquitous discrete-surface representations. In this paper we address the problem of how to maintain the manifold properties of a surface while it undergoes strong deformations that may cause topological…

Computer Vision and Pattern Recognition · Computer Science 2020-12-11 Andrei Zaharescu , Edmond Boyer , Radu Horaud

Automated surface segmentation of retinal layer is important and challenging in analyzing optical coherence tomography (OCT). Recently, many deep learning based methods have been developed for this task and yield remarkable performance.…

Image and Video Processing · Electrical Eng. & Systems 2022-03-07 Hong Liu , Dong Wei , Donghuan Lu , Yuexiang Li , Kai Ma , Liansheng Wang , Yefeng Zheng

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

Most previous bounding-box-based segmentation methods assume the bounding box tightly covers the object of interest. However it is common that a rectangle input could be too large or too small. In this paper, we propose a novel segmentation…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Ning Xu , Brian Price , Scott Cohen , Jimei Yang , Thomas Huang

Eikonal, or ray tracing, methods are commonly used to estimate the propagation of radio frequency fields in plasmas. While the information gained from the rays is quite useful, an approximate solution for the fields would also be valuable,…

Plasma Physics · Physics 2010-05-20 A. S. Richardson , P. T. Bonoli , J. C. Wright

Approximate solutions of linear and nonlinear integral equations using methods related to an interpolatory projection involve many integrals which need to be evaluated using a numerical quadrature formula. In this paper, we consider…

Numerical Analysis · Mathematics 2017-08-03 Rekha P. Kulkarni , Gobinda Rakshit

Finding an unsupervised decomposition of an image into individual objects is a key step to leverage compositionality and to perform symbolic reasoning. Traditionally, this problem is solved using amortized inference, which does not…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Pradyumna Reddy , Paul Guerrero , Niloy J. Mitra

In this paper, we propose several novel deep learning methods for object saliency detection based on the powerful convolutional neural networks. In our approach, we use a gradient descent method to iteratively modify an input image based on…

Computer Vision and Pattern Recognition · Computer Science 2015-05-07 Hengyue Pan , Bo Wang , Hui Jiang

We present SurfCut, an algorithm for extracting a smooth, simple surface with an unknown 3D curve boundary from a noisy 3D image and a seed point. Our method is built on the novel observation that certain ridge curves of a function defined…

Computer Vision and Pattern Recognition · Computer Science 2017-05-02 Marei Algarni , Ganesh Sundaramoorthi

This paper introduces and studies the convergence properties of a new class of explicit $\epsilon$-subgradient methods for the task of minimizing a convex function over the set of minimizers of another convex minimization problem. The…

Optimization and Control · Mathematics 2019-04-03 Elias Salomão Helou , Lucas Eduardo Azevedo Simões

We present Gradient-SDF, a novel representation for 3D geometry that combines the advantages of implict and explicit representations. By storing at every voxel both the signed distance field as well as its gradient vector field, we enhance…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Christiane Sommer , Lu Sang , David Schubert , Daniel Cremers

We develop a new proximal-gradient method for minimizing the sum of a differentiable, possibly nonconvex, function plus a convex, possibly non differentiable, function. The key features of the proposed method are the definition of a…

Numerical Analysis · Mathematics 2016-05-13 Silvia Bonettini , Ignace Loris , Federica Porta , Marco Prato

Current 3D inpainting and object removal methods are largely limited to front-facing scenes, facing substantial challenges when applied to diverse, "unconstrained" scenes where the camera orientation and trajectory are unrestricted. To…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Zhihao Shi , Dong Huo , Yuhongze Zhou , Kejia Yin , Yan Min , Juwei Lu , Xinxin Zuo

We consider the inverse obstacle scattering problem of determining both the shape and the "equivalent impedance" from far field measurements at a fixed frequency. In this work, the surface impedance is represented by a second order surface…

Numerical Analysis · Mathematics 2013-07-24 Laurent Bourgeois , Nicolas Chaulet , Houssem Haddar

In this paper, we propose a descent method for composite optimization problems with linear operators. Specifically, we first design a structure-exploiting preconditioner tailored to the linear operator so that the resulting preconditioned…

Optimization and Control · Mathematics 2026-03-20 Jian Chen , Xinmin Yang