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

Curvilinear Motion: Rectangular Components01:23

Curvilinear Motion: Rectangular Components

770
Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the...
770
Introduction to Horizontal Curves01:19

Introduction to Horizontal Curves

319
Horizontal curves are essential in highway and railroad design, ensuring smooth and safe transitions between straight path segments, or tangents. These curves allow vehicles to maintain speed without abrupt changes, minimizing accidents and improving travel efficiency.A horizontal curve is typically defined by its geometric relationship to two tangents that meet at an intersection point (P.I.), where a simple curve is introduced to connect them. The back tangent refers to the initial tangent...
319
Curvilinear Motion: Polar Coordinates01:27

Curvilinear Motion: Polar Coordinates

556
In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position...
556
Horizontal Curve: Problem Solving01:03

Horizontal Curve: Problem Solving

156
A horizontal curve is characterized by its radius, intersection angle, and stationing of key points. In this case, the radius is 400 meters, and the angle of intersection is 30 degrees, with the station of the point of curvature (P.C.) at 0 + 150 meters. The goal is to determine the station values at the point of intersection (P.I.), point of tangency (P.T.), and midpoint of the curve, as well as the length of the long chord.The process begins with calculating the tangent distance (T) and the...
156
Curvilinear Motion: Normal and Tangential Components01:27

Curvilinear Motion: Normal and Tangential Components

553
When a car traverses a curved road, its motion can be elucidated by breaking it down into tangential and normal components. The car-centric coordinates attached to the vehicle move with it.
The positive direction of the t-axis aligns with the increasing position of the car along the curved path, denoted by the unit vector ut. Simultaneously, the n-axis, perpendicular to the t-axis, dissects the curved path into differential arc segments, each forming the arc of a circle with a radius of...
553
Introduction to Vertical Curves01:24

Introduction to Vertical Curves

239
Vertical curves are parabolic transitions that connect different grades on highways and railroads, ensuring a smooth alignment between back and forward tangents. The back tangent represents the initial grade, while the forward tangent defines the subsequent grade. These curves can be symmetrical, with equal tangent lengths, or nonsymmetrical, with varying lengths. The key points defining a vertical curve include the Point of Vertical Intersection (P.V.I.), where the tangents meet; the Point of...
239

You might also read

Related Articles

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

Sort by
Same author

Trends in Snapshot Spectral Imaging: Systems, Processing, and Quality.

Sensors (Basel, Switzerland)·2025
Same author

Union-Retire for Connected Components Analysis on FPGA.

Journal of imaging·2022
Same author

Zig-Zag Based Single-Pass Connected Components Analysis.

Journal of imaging·2021
Same author

Image Processing Using FPGAs.

Journal of imaging·2021
Same journal

Human-AI Interaction in Interventional Radiology: A Narrative Review of Current Applications, Challenges, and Future Directions.

Journal of imaging·2026
Same journal

Coronary Artery Anomalies and Anatomical Variants: Cross-Sectional Diagnostic Imaging and Clinical Background.

Journal of imaging·2026
Same journal

YoLeTooth: A Unified Framework for Joint Tooth Segmentation and Periapical Lesion Detection in Panoramic Radiographs.

Journal of imaging·2026
Same journal

Radiomics-Guided Multi-Sequence Learning for Pathological Complete Response Prediction from Breast MRI with Missing Auxiliary Sequences.

Journal of imaging·2026
Same journal

Cutaneous Thermography in Arthropathies: Quantitative Imaging, Machine Learning, and Clinical Translation.

Journal of imaging·2026
Same journal

Two-Stage Dynamic Synergistic Segmentation Method for Myocardial Pathology.

Journal of imaging·2026
See all related articles

Related Experiment Video

Updated: Oct 22, 2025

Quantifying Fibrillar Collagen Organization with Curvelet Transform-Based Tools
07:58

Quantifying Fibrillar Collagen Organization with Curvelet Transform-Based Tools

Published on: November 11, 2020

6.4K

Analysing Arbitrary Curves from the Line Hough Transform.

Donald Bailey1, Yuan Chang1, Steven Le Moan1

  • 1Centre for Research in Image and Signal Processing, Massey University, Palmerston North 4442, New Zealand.

Journal of Imaging
|August 30, 2021
PubMed
Summary
This summary is machine-generated.

The Hough transform can detect arbitrary curves by analyzing peak shapes in parameter space. This method reconstructs curves and simplifies shape analysis, enabling direct measurement of elliptical blob parameters.

Keywords:
Hough transformconvex hullcurve detectionedgeletsellipse parametersfeatures

More Related Videos

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

43.1K
Long-term Video Tracking of Cohoused Aquatic Animals: A Case Study of the Daily Locomotor Activity of the Norway Lobster Nephrops norvegicus
05:57

Long-term Video Tracking of Cohoused Aquatic Animals: A Case Study of the Daily Locomotor Activity of the Norway Lobster Nephrops norvegicus

Published on: April 8, 2019

7.0K

Related Experiment Videos

Last Updated: Oct 22, 2025

Quantifying Fibrillar Collagen Organization with Curvelet Transform-Based Tools
07:58

Quantifying Fibrillar Collagen Organization with Curvelet Transform-Based Tools

Published on: November 11, 2020

6.4K
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

43.1K
Long-term Video Tracking of Cohoused Aquatic Animals: A Case Study of the Daily Locomotor Activity of the Norway Lobster Nephrops norvegicus
05:57

Long-term Video Tracking of Cohoused Aquatic Animals: A Case Study of the Daily Locomotor Activity of the Norway Lobster Nephrops norvegicus

Published on: April 8, 2019

7.0K

Area of Science:

  • Computer Vision
  • Image Processing
  • Pattern Recognition

Background:

  • The Hough transform is a standard technique for detecting linear features in digital images.
  • Lines are represented as peaks in a parameter space, simplifying detection.
  • Extending this to arbitrary curves requires analyzing the shape of these peaks, known as the peak locus.

Purpose of the Study:

  • To demonstrate that the Hough transform can detect and analyze arbitrary (non-parametric) curves by examining the peak locus in parameter space.
  • To establish a one-to-one relationship between curves in image space and their peak loci in parameter space.
  • To explore simplifications and direct measurements achievable from the Hough transform representation.

Main Methods:

  • Analyzing the patterns of the peak locus in parameter space for various curve types.
  • Investigating the reconstruction of curves from their peak loci.
  • Demonstrating simplification techniques by selectively ignoring parts of the peak locus.
  • Applying the method to derive convex hulls and measure parameters of elliptical blobs.

Main Results:

  • A one-to-one correspondence between image space curves and parameter space peak loci was established.
  • Specific peak locus patterns were identified for closed curves, linear segments, inflection points, and corners.
  • Curve simplification by peak locus manipulation was demonstrated, including direct convex hull derivation.
  • Parameters of elliptical blobs were directly measurable from the Hough transform representation.

Conclusions:

  • The Hough transform, through peak locus analysis, offers a powerful method for detecting and analyzing arbitrary curves, not just lines.
  • This approach enables complete curve reconstruction and facilitates shape simplification and feature extraction.
  • The method provides direct measurement capabilities for specific shapes like elliptical blobs within the Hough parameter space.