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In a recent article, we have shown that a variety of localized polynomial frames, including isotropic as well as directional systems, are suitable for detecting jump discontinuities along circles on the sphere. More precisely, such edges…

经典分析与常微分方程 · 数学 2026-01-06 Frederic Schoppert

Image structure-texture decomposition is a long-standing and fundamental problem in both image processing and computer vision fields. In this paper, we propose a generalized semi-sparse regularization framework for image structural analysis…

计算机视觉与模式识别 · 计算机科学 2023-08-21 Junqing Huang , Haihui Wang , Michael Ruzhansky

The graph continual release model of differential privacy seeks to produce differentially private solutions to graph problems under a stream of edge updates where new private solutions are released after each update. Thus far, previously…

数据结构与算法 · 计算机科学 2025-04-17 Alessandro Epasto , Quanquan C. Liu , Tamalika Mukherjee , Felix Zhou

This paper initiates the studies of parallel algorithms for core maintenance in dynamic graphs. The core number is a fundamental index reflecting the cohesiveness of a graph, which are widely used in large-scale graph analytics. The core…

数据结构与算法 · 计算机科学 2017-01-02 Na Wang , Dongxiao Yu , Hai Jin , Chen Qian , Xia Xie , Qiang-Sheng Hua

Mask-based lensless cameras replace the lens of a conventional camera with a custom mask. These cameras can potentially be very thin and even flexible. Recently, it has been demonstrated that such mask-based cameras can recover light…

图像与视频处理 · 电气工程与系统科学 2020-06-22 Yucheng Zheng , M. Salman Asif

Discrete gradient methods are well-known methods of Geometric Numerical Integration, which preserve the dissipation of gradient systems. The preservation of the dissipation of a system is an important feature in numerous image processing…

数值分析 · 数学 2016-03-25 V Grimm , R I McLachlan , D McLaren , G R W Quispel , C-B Schönlieb

This paper proposes to generalize linear subdivision schemes to nonlinear subdivision schemes for curve and surface modeling by refining vertex positions together with refinement of unit control normals at the vertices. For each round of…

数值分析 · 数学 2023-05-15 Xunnian Yang

We introduce Neural Deformation Graphs for globally-consistent deformation tracking and 3D reconstruction of non-rigid objects. Specifically, we implicitly model a deformation graph via a deep neural network. This neural deformation graph…

计算机视觉与模式识别 · 计算机科学 2020-12-04 Aljaž Božič , Pablo Palafox , Michael Zollhöfer , Justus Thies , Angela Dai , Matthias Nießner

Point discretization of curved surfaces is required in many applications ranging from object rendering to the solution of surface partial differential equations (PDEs). These applications often impose that surfaces are sampled with local…

计算工程、金融与科学 · 计算机科学 2026-05-06 Lennart J. Schulze , Ivo F. Sbalzarini

The curvature regularities are well-known for providing strong priors in the continuity of edges, which have been applied to a wide range of applications in image processing and computer vision. However, these models are usually non-convex,…

数值分析 · 数学 2019-12-03 Qiuxiang Zhong , Ke Yin , Yuping Duan

3D scene reconstruction from 2D images has been a long-standing task. Instead of estimating per-frame depth maps and fusing them in 3D, recent research leverages the neural implicit surface as a unified representation for 3D reconstruction.…

计算机视觉与模式识别 · 计算机科学 2023-09-19 Xinyi Yu , Liqin Lu , Jintao Rong , Guangkai Xu , Linlin Ou

Recent techniques have been successful in reconstructing surfaces as level sets of learned functions (such as signed distance fields) parameterized by deep neural networks. Many of these methods, however, learn only closed surfaces and are…

计算机视觉与模式识别 · 计算机科学 2022-03-23 David Palmer , Dmitriy Smirnov , Stephanie Wang , Albert Chern , Justin Solomon

The data consistency for the physical forward model is crucial in inverse problems, especially in MR imaging reconstruction. The standard way is to unroll an iterative algorithm into a neural network with a forward model embedded. The…

图像与视频处理 · 电气工程与系统科学 2023-06-28 Guanxiong Luo , Mengmeng Kuang , Peng Cao

This paper presents some applications using recently developed algorithms for smooth-continuous data reconstruction based on the digital-discrete method. The classical discrete method for data reconstruction is based on domain decomposition…

数值分析 · 数学 2010-03-23 Li Chen

Active Surface Models have a long history of being useful to model complex 3D surfaces but only Active Contours have been used in conjunction with deep networks, and then only to produce the data term as well as meta-parameter maps…

计算机视觉与模式识别 · 计算机科学 2021-06-09 Udaranga Wickramasinghe , Graham Knott , Pascal Fua

As a real scenes sensing approach, depth information obtains the widespread applications. However, resulting from the restriction of depth sensing technology, the depth map captured in practice usually suffers terrible noise and missing…

计算机视觉与模式识别 · 计算机科学 2020-01-09 Wenxiang Zuo , Qiang Li , Xianming Liu

Neural Radiance Fields (NeRF) achieve remarkable performance in dense multi-view scenarios, but their reconstruction quality degrades significantly under sparse inputs due to geometric artifacts. Existing methods utilize global depth…

计算机视觉与模式识别 · 计算机科学 2026-01-06 Weiqi Yu , Yiyang Yao , Lin He , Jianming Lv

Depth completion, inferring dense depth maps from sparse measurements, is crucial for robust 3D perception. Although deep learning based methods have made tremendous progress in this problem, these models cannot generalize well across…

计算机视觉与模式识别 · 计算机科学 2024-10-25 Haotian Wang , Meng Yang , Xinhu Zheng , Gang Hua

Neural implicit functions have emerged as a powerful representation for surfaces in 3D. Such a function can encode a high quality surface with intricate details into the parameters of a deep neural network. However, optimizing for the…

计算机视觉与模式识别 · 计算机科学 2021-04-13 Wang Yifan , Shihao Wu , Cengiz Oztireli , Olga Sorkine-Hornung

Neural implicit reconstruction via volume rendering has demonstrated its effectiveness in recovering dense 3D surfaces. However, it is non-trivial to simultaneously recover meticulous geometry and preserve smoothness across regions with…

计算机视觉与模式识别 · 计算机科学 2025-04-09 Ziyu Tang , Weicai Ye , Yifan Wang , Di Huang , Hujun Bao , Tong He , Guofeng Zhang