On finding the shortest distance of a point from a line: Which method do you prefer?
Sign Up to like & getrecommendations! Published in 2017 at "Resonance"
DOI: 10.1007/s12045-017-0514-x
Abstract: The formula for the shortest distance of a point from a line can be derived in several different ways. Some typical methods are taught at the elementary (i.e., high-school and junior college) level. However, solving… read more here.
Keywords: point line; shortest distance; distance point;
Point-to-line polymers and orthogonal Whittaker functions
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7423
Abstract: We study a one-dimensional directed polymer model in an inverse-gamma random environment, known as the log-gamma polymer, in three different geometries: point-to-line, point-to-half-line and when the polymer is restricted to a half-space with end point… read more here.
Keywords: point line; whittaker functions; line; line polymers ... See more keywords
Point-Line LIVO Using Patch-Based Gradient Optimization for Degenerate Scenes
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Robotics and Automation Letters"
DOI: 10.1109/lra.2024.3466088
Abstract: Simultaneous localization and mapping based on 3-D light detection and ranging (LiDAR) tends to degenerate in structural-less environments, leading to a distinct reduction in localization accuracy and mapping precision. This article proposes a point-line LiDAR-visual-inertial… read more here.
Keywords: degenerate scenes; patch based; localization; based gradient ... See more keywords
FLM PL-VIO: A Robust Monocular Point-Line Visual-Inertial Odometry Based on Fast Line Matching
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Industrial Electronics"
DOI: 10.1109/tie.2024.3379661
Abstract: This article proposes a monocular point-line visual-inertial odometry (VIO) with line filtering and fast line matching (FLM PL-VIO), improving the localization accuracy and robustness. Different from the existing point-line VIO frameworks, we construct a new… read more here.
Keywords: line matching; fast line; line; point line ... See more keywords
PL-ALF: A Novel Point-Line Feature Autonomous Localization and Flight Framework Based on Multisensor Fusion and Optimization
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Instrumentation and Measurement"
DOI: 10.1109/tim.2024.3522670
Abstract: Unmanned aerial vehicles (UAVs) are extensively utilized across diverse domains due to their flexibility. However, for UAVs relying solely on visual sensors, achieving autonomous flight in low-textured environments presents a significant challenge. The scarcity of… read more here.
Keywords: flight framework; framework; flight; alf ... See more keywords
Simplification of 2D Polygonal Partitions via Point‐line Projective Duality, and Application to Urban Reconstruction
Sign Up to like & getrecommendations! Published in 2022 at "Computer Graphics Forum"
DOI: 10.1111/cgf.14511
Abstract: We address the problem of simplifying two‐dimensional polygonal partitions that exhibit strong regularities. Such partitions are relevant for reconstructing urban scenes in a concise way. Preserving long linear structures spanning several partition cells motivates a… read more here.
Keywords: line projective; projective duality; polygonal partitions; line ... See more keywords
Point-line Visual-Inertial Odometry Systems under Short and Long Line Segment Fusion
Sign Up to like & getrecommendations! Published in 2024 at "Transactions of the Institute of Measurement and Control"
DOI: 10.1177/01423312241285949
Abstract: In visual-inertial odometry (VIO) research, combining point and line features can satisfy high requirements of integrity and restoration for scene reconstruction. In this paper, an integrating strategy of two types of line segments is proposed… read more here.
Keywords: short long; inertial odometry; visual inertial; line ... See more keywords
Enhanced RGB-D SLAM through orthogonal plane constraints and point-line-plane collaborative optimization
Sign Up to like & getrecommendations! Published in 2025 at "PLOS One"
DOI: 10.1371/journal.pone.0330839
Abstract: Accurate visual localization in complex indoor environments remains a significant challenge due to feature degradation and cumulative errors. In response, we propose PLPM-SLAM, a novel RGB-D SLAM framework that integrates orthogonal Manhattan plane constraints with… read more here.
Keywords: line plane; plane; plpm slam; line ... See more keywords
Towards Biologically-Inspired Visual SLAM in Dynamic Environments: IPL-SLAM with Instance Segmentation and Point-Line Feature Fusion
Sign Up to like & getrecommendations! Published in 2025 at "Biomimetics"
DOI: 10.3390/biomimetics10090558
Abstract: Simultaneous Localization and Mapping (SLAM) is a fundamental technique in mobile robotics, enabling autonomous navigation and environmental reconstruction. However, dynamic elements in real-world scenes—such as walking pedestrians, moving vehicles, and swinging doors—often degrade SLAM performance… read more here.
Keywords: slam; instance; ipl slam; point ... See more keywords