Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Adjusting a Traverse01:12

Adjusting a Traverse

442
In the site survey of a four-sided traverse, internal angles are essential to ensure geometric accuracy. The survey revealed that the sum of the measured internal angles was 359 degrees and 48 minutes, which is 12 minutes less than the expected 360 degrees. This discrepancy signals an error likely arising from measurement inaccuracies during the fieldwork.To rectify this error, the adjustment process involved distributing the 12-minute shortfall equally across the four internal angles. By...
442
Midpoint Rule01:20

Midpoint Rule

202
Approximating areas under curved boundaries is a common problem in applied mathematics, particularly when an exact calculation is difficult or impractical. One effective numerical method for this purpose is the Midpoint Rule, which provides an estimate of the area under a curve by using rectangular approximations over a specified interval.Description of the Midpoint RuleThe Midpoint Rule begins by dividing the given interval into a number of equal subintervals. For each subinterval, the...
202
Distance Corrections01:15

Distance Corrections

380
To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
380
Latitudes and Departures01:27

Latitudes and Departures

781
Latitudes and departures are essential concepts in surveying, providing a systematic way to analyze the projections of traverse lines. These projections allow surveyors to interpret a line's north-south and east-west components, which are crucial for precisely calculating areas, bearings, and lengths. Latitude is the north-south projection of a line, calculated as the product of the line's length and the cosine of its bearing. Departure, conversely, is the east-west projection obtained by...
781
Common Leveling Mistakes and Errors01:17

Common Leveling Mistakes and Errors

612
A survey team is tasked with determining the elevation difference between points Point A and Point B, separated by uneven terrain. They use a leveling instrument and a leveling rod.Common MistakesMisreading the Rod: During a backsight reading at Point A, the instrumentman observes the rod partially obscured by tall grass. Instead of reading 1.135 m, they mistakenly record 1.735 m due to the misalignment of the crosshair with the wrong graduation. This error adds 0.600 m to all subsequent...
612
Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

792
The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
792

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Corrigendum to "Redox-mediated synthesis of Kiwi-like hybrid nanoparticles enabling multimode lateral flow immunoassay for detection of cardiac troponin I" [Biosens. Bioelectr. 295 (2026) 118320].

Biosensors & bioelectronics·2026
Same author

Redox-mediated synthesis of Kiwi-like hybrid nanoparticles enabling multimode lateral flow immunoassay for detection of cardiac troponin I.

Biosensors & bioelectronics·2025
Same author

Synergy of Oxygen Vacancies and Base Sites for Transfer Hydrogenation of Nitroarenes on Ceria Nanorods.

Angewandte Chemie (International ed. in English)·2023
Same author

Improved Sample Preparation Method for Protein and Peptide Identification from Human Hair.

Journal of proteome research·2023
Same author

Identifying the critical oncogenic mechanism of LDHA based on a prognostic model of T-cell synthetic drivers.

International immunopharmacology·2023
Same author

Targeting PKD2 aggravates ferritinophagy-mediated ferroptosis via promoting autophagosome-lysosome fusion and enhances efficacy of carboplatin in lung adenocarcinoma.

Chemico-biological interactions·2023

Related Experiment Video

Updated: Apr 6, 2026

Robotized Testing of Camera Positions to Determine Ideal Configuration for Stereo 3D Visualization of Open-Heart Surgery
05:12

Robotized Testing of Camera Positions to Determine Ideal Configuration for Stereo 3D Visualization of Open-Heart Surgery

Published on: August 12, 2021

2.6K

Algebraic Error Based Triangulation and Metric of Lines.

Fuchao Wu1, Ming Zhang1, Guanghui Wang2

  • 1National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, P.O. Box 2728, Beijing, 100190, China.

Plos One
|July 29, 2015
PubMed
Summary

This study introduces new methods for 3D line triangulation using Lagrange multipliers, improving accuracy for line segments in computer vision. The research also presents novel metrics for evaluating triangulation errors in 3D line reconstruction.

More Related Videos

Stereo-Imaging System DLT Calibration to Capture 3D In Situ Displacements of Stretched Peripheral Nerves
06:26

Stereo-Imaging System DLT Calibration to Capture 3D In Situ Displacements of Stretched Peripheral Nerves

Published on: January 12, 2024

825
Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.9K

Related Experiment Videos

Last Updated: Apr 6, 2026

Robotized Testing of Camera Positions to Determine Ideal Configuration for Stereo 3D Visualization of Open-Heart Surgery
05:12

Robotized Testing of Camera Positions to Determine Ideal Configuration for Stereo 3D Visualization of Open-Heart Surgery

Published on: August 12, 2021

2.6K
Stereo-Imaging System DLT Calibration to Capture 3D In Situ Displacements of Stretched Peripheral Nerves
06:26

Stereo-Imaging System DLT Calibration to Capture 3D In Situ Displacements of Stretched Peripheral Nerves

Published on: January 12, 2024

825
Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.9K

Area of Science:

  • Computer Vision
  • Geometric Computing
  • Computational Geometry

Background:

  • Line triangulation is a fundamental problem in computer vision, determining 3D line coordinates from 2D projections.
  • Line segments offer greater robustness than point features against errors and occlusions.
  • Existing methods for line triangulation require improved evaluation metrics for 3D errors.

Purpose of the Study:

  • To investigate the line triangulation problem using Lagrange multipliers theory.
  • To develop novel algorithms and metrics for accurate 3D line reconstruction.
  • To enhance the evaluation of 3D line triangulation accuracy.

Main Methods:

  • Utilizing Lagrange multipliers theory to derive a formula for Plücker correction.
  • Proposing a new linear algorithm (LINa) for line triangulation.
  • Developing two optimal algorithms (OPTa-I, OPTa-II) by minimizing algebraic error.
  • Introducing orthogonal and quasi-Riemannian metrics for 3D line space evaluation.

Main Results:

  • A novel linear algorithm, LINa, for line triangulation based on Lagrange multipliers.
  • Two optimal algorithms, OPTa-I and OPTa-II, that minimize algebraic error.
  • Two new metrics for evaluating 3D line triangulation accuracy: orthogonal and quasi-Riemannian metrics.
  • Experimental validation on synthetic and real data demonstrating algorithm effectiveness.

Conclusions:

  • The proposed LINa algorithm offers an effective linear approach to line triangulation.
  • OPTa-I and OPTa-II provide optimal solutions by minimizing algebraic error.
  • The new 3D line metrics enable more robust evaluation of triangulation accuracy.
  • The study advances 3D line reconstruction techniques in computer vision.