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Geodesic distance, commonly called shortest path length, has proved useful in a great variety of disciplines. It has been playing a significant role in search engine at present and so attracted considerable attention at the last few…

Combinatorics · Mathematics 2019-09-17 Xudong Luo , Fei Ma , Wentao Xu

Computing an array of all pairs of geodesic distances between the pixels of an image is time consuming. In the sequel, we introduce new methods exploiting the redundancy of geodesic propagations and compare them to an existing one. We show…

Discrete Mathematics · Computer Science 2020-08-03 Guillaume Noyel , Jesus Angulo , Dominique Jeulin

We give an accessible introduction and elaboration on the methods used in obtaining a geodesic, which is the curve of shortest length connecting two points lying on the surface of a function. This is found through computing what's known as…

Functional Analysis · Mathematics 2020-10-21 Andrew R. Tawfeek

In this paper, we develop a novel method for fast geodesic distance queries. The key idea is to embed the mesh into a high-dimensional space, such that the Euclidean distance in the high-dimensional space can induce the geodesic distance in…

Graphics · Computer Science 2021-09-02 Qianwei Xia , Juyong Zhang , Zheng Fang , Jin Li , Mingyue Zhang , Bailin Deng , Ying He

The geodesic model based on the eikonal partial differential equation (PDE) has served as a fundamental tool for the applications of image segmentation and boundary detection in the past two decades. However, the existing approaches…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Da Chen , Jean-Marie Mirebeau , Huazhong Shu , Laurent D. Cohen

In this paper the space of images is considered as a Riemannian manifold using the metamorphosis approach, where the underlying Riemannian metric simultaneously measures the cost of image transport and intensity variation. A robust and…

Numerical Analysis · Mathematics 2015-05-28 Benjamin Berkels , Alexander Effland , Martin Rumpf

Previous works leveraging video models for image-to-3D scene generation tend to suffer from geometric distortions and blurry content. In this paper, we renovate the pipeline of image-to-3D scene generation by unlocking the potential of…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Yuhao Wan , Lijuan Liu , Jingzhi Zhou , Zihan Zhou , Xuying Zhang , Dongbo Zhang , Shaohui Jiao , Qibin Hou , Ming-Ming Cheng

Targeting at depicting land covers with pixel-wise semantic categories, semantic segmentation in remote sensing images needs to portray diverse distributions over vast geographical locations, which is difficult to be achieved by the…

Image and Video Processing · Electrical Eng. & Systems 2022-10-05 Kunping Yang , Xin-Yi Tong , Gui-Song Xia , Weiming Shen , Liangpei Zhang

Video depth estimation extends monocular prediction into the temporal domain to ensure coherence. However, existing methods often suffer from spatial blurring in fine-detail regions and temporal inconsistencies. We argue that current…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Yuecheng Liu , Junda Cheng , Longliang Liu , Wenjing Liao , Hanrui Cheng , Yuzhou Wang , Xin Yang

Saliency detection has been an intuitive way to provide useful cues for object detection and segmentation, as desired for many vision and graphics applications. In this paper, we provided a robust method for salient object detection and…

Computer Vision and Pattern Recognition · Computer Science 2013-11-11 Richard M Jiang

Numerous works have proven that existing neighbor-averaging Graph Neural Networks cannot efficiently catch structure features, and many works show that injecting structure, distance, position or spatial features can significantly improve…

Machine Learning · Computer Science 2021-12-07 Zhiguo Huang , Xiaowei Chen , Bojuan Wang

In this paper, we propose a new framework for segmenting feature-based moving objects under affine subspace model. Since the feature trajectories in practice are high-dimensional and contain a lot of noise, we firstly apply the sparse PCA…

Computer Vision and Pattern Recognition · Computer Science 2017-01-25 Michael Ying Yang , Hanno Ackermann , Weiyao Lin , Sitong Feng , Bodo Rosenhahn

Chamfer Distance (CD) is a widely adopted metric in 3D point cloud learning due to its simplicity and efficiency. However, it suffers from a fundamental limitation: it relies solely on Euclidean distances, which often fail to capture the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Pedro Alonso , Tianrui Li , Chongshou Li

We present GeGnn, a learning-based method for computing the approximate geodesic distance between two arbitrary points on discrete polyhedra surfaces with constant time complexity after fast precomputation. Previous relevant methods either…

Computer Vision and Pattern Recognition · Computer Science 2023-10-05 Bo Pang , Zhongtian Zheng , Guoping Wang , Peng-Shuai Wang

We propose an approach for 3D reconstruction and segmentation of a single object placed on a flat surface from an input video. Our approach is to perform dense depth map estimation for multiple views using a proposed objective function that…

Computer Vision and Pattern Recognition · Computer Science 2016-07-29 Tanmay Gupta , Daeyun Shin , Naren Sivagnanadasan , Derek Hoiem

Vision transformers have recently emerged as an effective alternative to convolutional networks for action recognition. However, vision transformers still struggle with geometric variations prevalent in video data. This paper proposes a…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Jinhui Ye , Jiaming Zhou , Hui Xiong , Junwei Liang

The task of generating natural images from 3D scenes has been a long standing goal in computer graphics. On the other hand, recent developments in deep neural networks allow for trainable models that can produce natural-looking images with…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Hassan Abu Alhaija , Siva Karthik Mustikovela , Andreas Geiger , Carsten Rother

In addition to color and textural information, geometry provides important cues for 3D scene reconstruction. However, current reconstruction methods only include geometry at the feature level thus not fully exploiting the geometric…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Ruihong Yin , Sezer Karaoglu , Theo Gevers

This work presents a region-growing image segmentation approach based on superpixel decomposition. From an initial contour-constrained over-segmentation of the input image, the image segmentation is achieved by iteratively merging similar…

Computer Vision and Pattern Recognition · Computer Science 2018-03-20 Mahaman Sani Chaibou , Pierre-Henri Conze , Karim Kalti , Basel Solaiman , Mohamed Ali Mahjoub

Visual perception plays a pivotal role in enabling autonomous behavior, offering a cost-effective and efficient alternative to complex multi-sensor systems. However, robust segmentation remains a challenge in complex scenarios. To address…

Computer Vision and Pattern Recognition · Computer Science 2026-01-05 Hewen Xiao , Jie Mei , Guangfu Ma , Weiren Wu