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The three-dimensional reconstruction of scenes from multiple views has made impressive strides in recent years, chiefly by methods correlating isolated feature points, intensities, or curvilinear structure. In the general setting, i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2017-07-14 Anil Usumezbas , Ricardo Fabbri , Benjamin Kimia

The contour estimation of transparent fragments is very important for autonomous reassembly, especially in the fields of precision optical instrument repair, cultural relic restoration, and identification of other precious device broken…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Qihao Lin , Borui Chen , Yuping Zhou , Jianing Wu , Yulan Guo , Weishi Zheng , Chongkun Xia

In this paper subdivision schemes, which are used for functions approximation and curves generation, are considered. In classical case, for the functions defined on the real line, the theory of subdivision schemes is widely known due to…

Functional Analysis · Mathematics 2020-12-10 Mikhail Karapetyants

Point cloud reconstruction from raw point cloud has been an important topic in computer graphics for decades, especially due to its high demand in modeling and rendering applications. An important way to solve this problem is establishing a…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Hui Tian , Kai Xu

Approximate convex decomposition aims to decompose a 3D shape into a set of almost convex components, whose convex hulls can then be used to represent the input shape. It thus enables efficient geometry processing algorithms specifically…

Graphics · Computer Science 2022-05-09 Xinyue Wei , Minghua Liu , Zhan Ling , Hao Su

We introduce the concept of pseudo-trisections of smooth oriented compact 4-manifolds with boundary. The main feature of pseudo-trisections is that they have lower complexity than relative trisections for given 4-manifolds. We prove…

Geometric Topology · Mathematics 2025-02-19 Shintaro Fushida-Hardy

In this paper, we present a new approach of creating PTAS to the TSP problems by defining a bounded-curvature surface embedded spaces. Using this definition we prove: - A bounded-curvature surface embedded spaces TSP admits to a PTAS. -…

Computational Geometry · Computer Science 2023-11-30 David Zisselman

Instance segmentation aims to locate targets in the image and segment each target area at pixel level, which is one of the most important tasks in computer vision. Mask R-CNN is a classic method of instance segmentation, but we find that…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Xiaolong Guo , Xiaosong Lan , Kunfeng Wang , Shuxiao Li

We consider the problem of B\'{e}zier curves/surfaces subdivision using blossoms. We propose closed-form formulae for blossoms evaluation, as needed for the calculation of control points. This approach leads to direct and efficient way to…

Computational Geometry · Computer Science 2026-01-16 Krassimira Vlachkova

We present a novel approach designed to address the complexities posed by challenging, out-of-distribution data in the single-image depth estimation task. Starting with images that facilitate depth prediction due to the absence of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Fabio Tosi , Pierluigi Zama Ramirez , Matteo Poggi

Edges, boundaries and contours are important subjects of study in both computer graphics and computer vision. On one hand, they are the 2D elements that convey 3D shapes, on the other hand, they are indicative of occlusion events and thus…

Computer Vision and Pattern Recognition · Computer Science 2019-01-04 Mengtian Li , Zhe Lin , Radomir Mech , Ersin Yumer , Deva Ramanan

Many edge and contour detection algorithms give a soft-value as an output and the final binary map is commonly obtained by applying an optimal threshold. In this paper, we propose a novel method to detect image contours from the extracted…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Zahra Mousavi Kouzehkanan , Reshad Hosseini , Babak Nadjar Araabi

The generation of curves and surfaces from given data is a well-known problem in Computer-Aided Design that can be approached using subdivision schemes. They are powerful tools that allow obtaining new data from the initial one by means of…

Numerical Analysis · Mathematics 2024-12-03 Sergio López-Ureña , Dionisio F. Yáñez

Objects often occlude each other in scenes; Inferring their appearance beyond their visible parts plays an important role in scene understanding, depth estimation, object interaction and manipulation. In this paper, we study the challenging…

Computer Vision and Pattern Recognition · Computer Science 2018-05-09 Kiana Ehsani , Roozbeh Mottaghi , Ali Farhadi

Occlusion in face recognition is a common yet challenging problem. While sparse representation based classification (SRC) has been shown promising performance in laboratory conditions (i.e. noiseless or random pixel corrupted), it performs…

Computer Vision and Pattern Recognition · Computer Science 2015-07-28 Yandong Wen , Weiyang Liu , Meng Yang , Yuli Fu , Youjun Xiang , Rui Hu

Contour detection has been a fundamental component in many image segmentation and object detection systems. Most previous work utilizes low-level features such as texture or saliency to detect contours and then use them as cues for a…

Computer Vision and Pattern Recognition · Computer Science 2015-04-24 Gedas Bertasius , Jianbo Shi , Lorenzo Torresani

In this thesis, a new approach for constructing subdivision algorithms for generalized quadratic and cubic B-spline subdivision for subdivision surfaces and volumes is presented. First, a catalog of quality criteria for these subdivision…

Computational Geometry · Computer Science 2025-07-29 Alexander Dietz

In the realm of computer-aided design (CAD) software, the intersection of B-spline surfaces stands as a fundamental operation. Despite the extensive history of surface intersection algorithms, the challenge of handling complex intersection…

Computational Geometry · Computer Science 2026-04-15 Chenming Gao , Hongwei Lin , Gengchen Li

Almost all existing amodal segmentation methods make the inferences of occluded regions by using features corresponding to the whole image. This is against the human's amodal perception, where human uses the visible part and the shape prior…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Yuting Xiao , Yanyu Xu , Ziming Zhong , Weixin Luo , Jiawei Li , Shenghua Gao

The article discusses an algorithm for recognizing the contour of fragments of a honeycomb block. The inapplicability of ready-made functions of the OpenCV library is shown. Two proposed algorithms are considered. The direct scanning…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Maksim Viktorovich Kubrikov , Mikhail Vladimirovich Saramud , Ivan Alekseevich Paulin , Evgeniy Petrovich Talay