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This communication describes a representation of images as a set of edges characterized by their position and orientation. This representation allows the comparison of two images and the computation of their similarity. The first step in…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Joel Le Roux , Philippe Chaurand , Mickael Urrutia

Boundary and edge cues are highly beneficial in improving a wide variety of vision tasks such as semantic segmentation, object recognition, stereo, and object proposal generation. Recently, the problem of edge detection has been revisited…

Computer Vision and Pattern Recognition · Computer Science 2017-05-30 Zhiding Yu , Chen Feng , Ming-Yu Liu , Srikumar Ramalingam

We investigate a type of distance between triangulations on finite type surfaces where one moves between triangulations by performing simultaneous flips. We consider triangulations up to homeomorphism and our main results are upper bounds…

Geometric Topology · Mathematics 2015-09-15 Valentina Disarlo , Hugo Parlier

Strip-decomposable quadrilateral (SDQ) meshes, i.e., quad meshes that can be decomposed into two transversal strip networks, are vital in numerous fabrication processes; examples include woven structures, surfaces from sheets, custom rebar,…

Graphics · Computer Science 2023-07-27 Ioanna Mitropoulou , Amir Vaxman , Olga Diamanti , Benjamin Dillenburger

We present a suite of techniques for jointly optimizing triangle meshes and shading models to match the appearance of reference scenes. This capability has a number of uses, including appearance-preserving simplification of extremely…

Graphics · Computer Science 2021-04-12 Jon Hasselgren , Jacob Munkberg , Jaakko Lehtinen , Miika Aittala , Samuli Laine

Laser triangulation sensors are widely used in industry for surface inspection due to simple setup, micron precision and low cost. Conventional laser triangulation methods only enable axial distance measurement limiting further…

Instrumentation and Detectors · Physics 2024-12-02 Hao Zhang , Shiji Wang

We present a differentiable representation, DMesh, for general 3D triangular meshes. DMesh considers both the geometry and connectivity information of a mesh. In our design, we first get a set of convex tetrahedra that compactly tessellates…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Sanghyun Son , Matheus Gadelha , Yang Zhou , Zexiang Xu , Ming C. Lin , Yi Zhou

This paper proposes a novel algorithm for the problem of structural image segmentation through an interactive model-based approach. Interaction is expressed in the model creation, which is done according to user traces drawn over a given…

Computer Vision and Pattern Recognition · Computer Science 2008-05-16 Alexandre Noma , Ana B. V. Graciano , Luis Augusto Consularo , Roberto M. Cesar-Jr , Isabelle Bloch

A main bottleneck of learning-based robotic scene understanding methods is the heavy reliance on extensive annotated training data, which often limits their generalization ability. In LiDAR panoptic segmentation, this challenge becomes even…

Computer Vision and Pattern Recognition · Computer Science 2025-07-10 Ahmet Selim Çanakçı , Niclas Vödisch , Kürsat Petek , Wolfram Burgard , Abhinav Valada

Real-world graphs often manifest as a massive temporal stream of edges. The need for real-time analysis of such large graph streams has led to progress on low memory, one-pass streaming graph algorithms. These algorithms were designed for…

Data Structures and Algorithms · Computer Science 2014-10-16 Madhav Jha , C. Seshadhri , Ali Pinar

This paper shows that lumped directed-area vectors at edges and dual control volumes required to implement the edge-based discretization can be computed without explicitly defining the dual control volume around each node for triangular and…

Numerical Analysis · Mathematics 2025-02-04 Hiroaki Nishikawa

Methods were developed in Ref. [1] for constructing reference metrics (and from them differentiable structures) on three-dimensional manifolds with topologies specified by suitable triangulations. This note generalizes those methods by…

General Relativity and Quantum Cosmology · Physics 2024-01-03 Lee Lindblom , Oliver Rinne

Answering exact shortest path distance queries is a fundamental task in graph theory. Despite a tremendous amount of research on the subject, there is still no satisfactory solution that can scale to billion-scale complex networks.…

Data Structures and Algorithms · Computer Science 2021-02-18 Muhammad Farhan , Qing Wang , Yu Lin , Brendan Mckay

We provide a linear time algorithm to determine the flip distance between two plane spanning paths on a point set in convex position. At the same time, we show that the happy edge property does not hold in this setting. This has to be seen…

Computational Geometry · Computer Science 2026-02-11 Oswin Aichholzer , Joseph Dorfer

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…

Computer Vision and Pattern Recognition · Computer Science 2014-11-26 Piotr Dollár , C. Lawrence Zitnick

In this paper a fast triangular mesh based registration method is proposed. Having Template and Reference images as inputs, the template image is triangulated using a content adaptive mesh generation algorithm. Considering the pixel values…

Computer Vision and Pattern Recognition · Computer Science 2016-11-25 Ahmadreza Baghaie , Zeyun Yu , Roshan M. D'souza

Traditional supervised medical image segmentation models require large amounts of labeled data for training; however, obtaining such large-scale labeled datasets in the real world is extremely challenging. Recent semi-supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Yunyao Lu , Yihang Wu , Reem Kateb , Ahmad Chaddad

We introduce an algorithm to remesh triangle meshes representing developable surfaces to planar quad dominant meshes. The output of our algorithm consists of planar quadrilateral (PQ) strips that are aligned to principal curvature…

Graphics · Computer Science 2021-06-28 Floor Verhoeven , Amir Vaxman , Tim Hoffmann , Olga Sorkine-Hornung

We study the {\sc Graph Relabeling Problem}--given an undirected, connected, simple graph $G = (V,E)$, two labelings $L$ and $L'$ of $G$, and label {\em flip} or {\em mutation} functions determine the complexity of transforming or evolving…

Combinatorics · Mathematics 2008-09-15 Geir Agnarsson , Raymond Greenlaw , Sanpawat Kantabutra

Edge detection serves as a critical foundation for numerous computer vision applications, including object detection, semantic segmentation, and image editing, by extracting essential structural cues that define object boundaries and…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Yuanbin Fu , Liang Li , Xiaojie Guo
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