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We describe a new sampling-based method to determine cuts in an undirected graph. For a graph (V, E), its cycle space is the family of all subsets of E that have even degree at each vertex. We prove that with high probability, sampling the…

分布式、并行与集群计算 · 计算机科学 2010-07-22 David Pritchard , Ramakrishna Thurimella

We derive methods to compute higher order differentials (Hessians and Hessian-vector products) of the rendering operator. Our approach is based on importance sampling of a convolution that represents the differentials of rendering…

图形学 · 计算机科学 2025-08-07 Zican Wang , Michael Fischer , Tobias Ritschel

In this paper, we propose an advanced methodology for the detection of 3D objects and precise estimation of their spatial positions from a single image. Unlike conventional frameworks that rely solely on center-point and dimension…

计算机视觉与模式识别 · 计算机科学 2024-01-04 Dhyey Manish Rajani , Surya Pratap Singh , Rahul Kashyap Swayampakula

We consider stochastic algorithms derived from methods for solving deterministic optimization problems, especially comparison-based algorithms derived from stochastic approximation algorithms with a constant step-size. We develop a…

最优化与控制 · 数学 2022-01-03 Youhei Akimoto , Anne Auger , Nikolaus Hansen

We present a particle locating method for unstructured meshes in two and three dimensions. Our algorithm is based on a patch searching process, and includes two steps. We first locate the given point to a patch near a vertex, and then the…

数值分析 · 数学 2025-03-20 Shuang Chen , Fanyi Yang

We present a rectangle-based segmentation algorithm that sets up a graph and performs a graph cut to separate an object from the background. However, graph-based algorithms distribute the graph's nodes uniformly and equidistantly on the…

计算机视觉与模式识别 · 计算机科学 2012-03-14 Jan Egger , Tina Kapur , Thomas Dukatz , Malgorzata Kolodziej , Dzenan Zukic , Bernd Freisleben , Christopher Nimsky

Enumerating all 3-manifold triangulations of a given size is a difficult but increasingly important problem in computational topology. A key difficulty for enumeration algorithms is that most combinatorial triangulations must be discarded…

几何拓扑 · 数学 2015-03-17 Benjamin A. Burton

We propose stochastic optimization algorithms that can find local minima faster than existing algorithms for nonconvex optimization problems, by exploiting the third-order smoothness to escape non-degenerate saddle points more efficiently.…

最优化与控制 · 数学 2017-12-19 Yaodong Yu , Pan Xu , Quanquan Gu

The selection of the optimal feature subset and the classification has become an important issue in the field of iris recognition. In this paper we propose several methods for iris feature subset selection and vector creation. The…

计算机视觉与模式识别 · 计算机科学 2009-06-29 Amir Azizi , Hamid Reza Pourreza

Object detection in 3D is a crucial aspect in the context of autonomous vehicles and drones. However, prototyping detection algorithms is time-consuming and costly in terms of energy and environmental impact. To address these challenges,…

计算机视觉与模式识别 · 计算机科学 2023-11-14 Konrad Lis , Tomasz Kryjak

To derive the hidden dynamics from observed data is one of the fundamental but also challenging problems in many different fields. In this study, we propose a new type of interpretable network called the ordinary differential equation…

动力系统 · 数学 2020-10-19 Pipi Hu , Wuyue Yang , Yi Zhu , Liu Hong

We introduce a novel offset meshing approach that can robustly handle a 3D surface mesh with an arbitrary geometry and topology configurations, while nicely capturing the sharp features on the original input for both inward and outward…

图形学 · 计算机科学 2024-12-23 Hongyi Cao , Gang Xu , Renshu Gu , Jinlan Xu , Xiaoyu Zhang , Timon Rabczuk , Yuzhe Luo , Xifeng Gao

Detection of moving objects is an essential capability in dealing with dynamic environments. Most moving object detection algorithms have been designed for color images without depth. For robotic navigation where real-time RGB-D data is…

计算机视觉与模式识别 · 计算机科学 2020-09-21 Haram Kim , Pyojin Kim , H. Jin Kim

Recent work has shown good recognition results in 3D object recognition using 3D convolutional networks. In this paper, we show that the object orientation plays an important role in 3D recognition. More specifically, we argue that objects…

计算机视觉与模式识别 · 计算机科学 2017-10-23 Nima Sedaghat , Mohammadreza Zolfaghari , Ehsan Amiri , Thomas Brox

With the explosive growth of web-based cameras and mobile devices, billions of photographs are uploaded to the internet. We can trivially collect a huge number of photo streams for various goals, such as 3D scene reconstruction and other…

计算机视觉与模式识别 · 计算机科学 2016-11-18 Jianjun Yang , Yin Wang , Honggang Wang , Kun Hua , Wei Wang , Ju Shen

Edge detection is a critical component of many vision systems, including object detectors and image segmentation algorithms. Patches of edges exhibit well-known forms of local structure, such as straight lines or T-junctions. In this paper…

计算机视觉与模式识别 · 计算机科学 2014-11-26 Piotr Dollár , C. Lawrence Zitnick

While Marching Cubes (MC) and Marching Tetrahedra (MTet) are widely adopted in 3D reconstruction pipelines due to their simplicity and efficiency, their differentiable variants remain suboptimal for mesh extraction. This often limits the…

计算几何 · 计算机科学 2026-01-21 Wylliam Cantin Charawi , Adrien Gruson , Jane Wu , Christian Desrosiers , Diego Thomas

VR sketching lets users explore and iterate on ideas directly in 3D, offering a faster and more intuitive alternative to conventional CAD tools. However, existing sketch-to-shape models ignore the temporal ordering of strokes, discarding…

计算机视觉与模式识别 · 计算机科学 2026-03-18 Yizi Chen , Sidi Wu , Tianyi Xiao , Nina Wiedemann , Loic Landrieu

Vessel tracing by modeling vascular structures in 3D medical images with centerlines and radii can provide useful information for vascular health. Existing algorithms have been developed but there are certain persistent problems such as…

图像与视频处理 · 电气工程与系统科学 2021-07-20 Li Chen , Wenjin Liu , Niranjan Balu , Mahmud Mossa-Basha , Thomas S. Hatsukami , Jenq-Neng Hwang , Chun Yuan

An algorithm to efficiently compute the moments of volumetric images is disclosed. The approach demonstrates a reduction in processing time by reducing the computational complexity significantly. Specifically, the algorithm reduces…

计算机视觉与模式识别 · 计算机科学 2020-12-16 William Diggin , Michael Diggin