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Despite being vastly ignored in the literature, coping with topological noise is an issue of increasing importance, especially as a consequence of the increasing number and diversity of 3D polygonal models that are captured by devices of…

Graphics · Computer Science 2017-05-16 Asli Genctav , Yusuf Sahillioglu , Sibel Tari

Autonomous mobile robots like self-flying drones and industrial robots heavily depend on depth images to perform tasks such as 3D reconstruction and visual SLAM. However, the presence of inaccuracies in these depth images can greatly hinder…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Yashashwee Chakrabarty , Smruti Ranjan Sarangi

We address the problem of surface inpainting, which aims to fill in holes or missing regions on a Riemann surface based on its surface geometry. In practical situation, surfaces obtained from range scanners often have holes where the 3D…

Differential Geometry · Mathematics 2014-03-27 Lok Ming Lui , Chengfeng Wen , Xianfeng Gu

3D lane detection and topology reasoning are essential tasks in autonomous driving scenarios, requiring not only detecting the accurate 3D coordinates on lane lines, but also reasoning the relationship between lanes and traffic elements.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Han Li , Zehao Huang , Zitian Wang , Wenge Rong , Naiyan Wang , Si Liu

One of the key elements of reconstructing a 3D mesh from a monocular video is generating every frame's depth map. However, in the application of colonoscopy video reconstruction, producing good-quality depth estimation is challenging.…

Image and Video Processing · Electrical Eng. & Systems 2021-11-23 Yubo Zhang , Jan-Michael Frahm , Samuel Ehrenstein , Sarah K. McGill , Julian G. Rosenman , Shuxian Wang , Stephen M. Pizer

Depth is widely viewed as a central contributor to the success of deep neural networks, whereas standard neural network approximation theory typically provides guarantees only for the final output and leaves the role of intermediate layers…

Machine Learning · Computer Science 2026-04-23 Shijun Zhang , Zuowei Shen , Yuesheng Xu

A Computer-Aided Design (CAD) model encodes an object in two coupled forms: a parametric construction sequence and its resulting visible geometric shape. During iterative design, adjustments to the geometric shape inevitably require…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Weijian Ma , Shizhao Sun , Ruiyu Wang , Jiang Bian

We present a deep learning approach for high resolution face completion with multiple controllable attributes (e.g., male and smiling) under arbitrary masks. Face completion entails understanding both structural meaningfulness and…

Computer Vision and Pattern Recognition · Computer Science 2018-01-24 Zeyuan Chen , Shaoliang Nie , Tianfu Wu , Christopher G. Healey

Lane detection is typically tackled with a two-step pipeline in which a segmentation mask of the lane markings is predicted first, and a lane line model (like a parabola or spline) is fitted to the post-processed mask next. The problem with…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Wouter Van Gansbeke , Bert De Brabandere , Davy Neven , Marc Proesmans , Luc Van Gool

Achieving tight bounding boxes of a shape while guaranteeing complete boundness is an essential task for efficient geometric operations and unsupervised semantic part detection. But previous methods fail to achieve both full coverage and…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Chanhyeok Park , Minhyuk Sung

Recent 3D-based manipulation methods either directly predict the grasp pose using 3D neural networks, or solve the grasp pose using similar objects retrieved from shape databases. However, the former faces generalizability challenges when…

Robotics · Computer Science 2023-10-03 Luobin Wang , Runlin Guo , Quan Vuong , Yuzhe Qin , Hao Su , Henrik Christensen

Distortion identification and rectification in images and videos is vital for achieving good performance in downstream vision applications. Instead of relying on fixed trial-and-error based image processing pipelines, we propose a two-level…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Aditya Kapoor , Harshad Khadilkar , Jayvardhana Gubbi

Some methods based on simple regularizing geometric element transformations have heuristically been shown to give runtime efficient and quality effective smoothing algorithms for meshes. We describe the mathematical framework and a…

Computational Geometry · Computer Science 2013-07-09 Dimitris Vartziotis , Benjamin Himpel

Spatially localized deformation components are very useful for shape analysis and synthesis in 3D geometry processing. Several methods have recently been developed, with an aim to extract intuitive and interpretable deformation components.…

Graphics · Computer Science 2017-12-19 Qingyang Tan , Lin Gao , Yu-Kun Lai , Jie Yang , Shihong Xia

Polygonal mesh reconstruction of a raw point cloud is a valuable topic in the field of computer graphics and 3D vision. Especially to 3D architectural models, polygonal mesh provides concise expressions for fundamental geometric structures…

Graphics · Computer Science 2024-07-30 Xin He , Chenlei Lv , Pengdi Huang , Hui Huang

One of the strategies to detect the pose and shape of unknown objects is their geometric modeling, consisting on fitting known geometric entities. Classical geometric modeling fits simple shapes such as spheres or cylinders, but often those…

Image and Video Processing · Electrical Eng. & Systems 2024-12-31 Joan Badia Torres , Eric Carmona , Abhijit Makhal , Omid Heidari , Alba Perez Gracia

Topological structures in image data, such as connected components and loops, play a crucial role in understanding image content (e.g., biomedical objects). % Despite remarkable successes of numerous image processing methods that rely on…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Pengfei Gu , Hongxiao Wang , Yejia Zhang , Huimin Li , Chaoli Wang , Danny Chen

Explainable numerical representations or latent information of otherwise complex datasets are more convenient to analyze and study. These representations assist in identifying clusters and outliers, assess similar data points, and explore…

Computers and Society · Computer Science 2023-10-11 Deepank Verma , Olaf Mumm , Vanessa Miriam Carlow

Sketching is used as a ubiquitous tool of expression by novices and experts alike. In this thesis I explore two methods that help a system provide a geometric machine-understanding of sketches, and in-turn help a user accomplish a…

Computer Vision and Pattern Recognition · Computer Science 2022-04-15 Raghav Brahmadesam Venkataramaiyer

3D point cloud completion, the task of inferring the complete geometric shape from a partial point cloud, has been attracting attention in the community. For acquiring high-fidelity dense point clouds and avoiding uneven distribution,…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Minghua Liu , Lu Sheng , Sheng Yang , Jing Shao , Shi-Min Hu