Everything about Line segment
Part of a straight line that is bounded by two distinct end points
In geometry, a line segment is a part of a straight line that is bounded by two distinct endpoints, and contains every point on the line that is between its endpoints. It is a special case of an arc, with zero curvature. The length of a line segment is given by the Euclidean distance between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry, a line segment is often denoted using an overline (vinculum) above the symbols for the two endpoints, such as in AB. The infinite line containing a line segment is sometimes called the segment's supporting line. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Line segmentA 5-minute orientation
- Skim a recent paper: ELSED: Enhanced line SEgment drawingInfluential work since 2022
- Pick up a classic book: Lines, segments, rays, and anglesThe most-reprinted book on the subject
- Read the landmark paper: 2017 ESC Guidelines for the management of acute myocardial infarction in patients presenting with ST-segment elevationCited 8,122 times
- Go sideways: MidpointA closely related topic
- Go sideways: PerpendicularA closely related topic
đź“– Definitions
Noun A part of a straight line bounded by two points.
🏆 Landmark papers (most cited)
2017 ESC Guidelines for the management of acute myocardial infarction in patients presenting with ST-segment elevation
2015 ESC Guidelines for the management of acute coronary syndromes in patients presenting without persistent ST-segment elevation
2020 ESC Guidelines for the management of acute coronary syndromes in patients presenting without persistent ST-segment elevation
ESC Guidelines for the management of acute myocardial infarction in patients presenting with ST-segment elevation
ESC Guidelines for the management of acute coronary syndromes in patients presenting without persistent ST-segment elevation
🆕 Influential since 2022
ELSED: Enhanced line SEgment drawing
Towards Light-Weight and Real-Time Line Segment Detection
Robust Extraction of 3D Line Segment Features from Unorganized Building Point Clouds
LSDNet: Trainable Modification of LSD Algorithm for Real-Time Line Segment Detection
Smoothly varying projective transformation for line segment matching
đź“š Books worth reading
Lines, segments, rays, and anglesClaire Piddock · 2010- 📕Railroad impact studyLeonard A. Poth · 1975
Handbook of Precast Segmental Tunnel Lining SystemsVerya Nasri, David R. Klug · 2024
Lines, segments, polygonsMindel Sitomer · 1972
A Contrario Line Segment DetectionRafael Grompone von Gioi · 2014
Key to geometryNewton Hawley, Newton Hawley · 1972
Shortest paths for line segmentsChristian Icking · 1992- 📕Line segments and anglesClaire Piddock · 2010
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Midpoint In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and…
- Perpendicular In geometry, two geometric objects are perpendicular if they intersect at right angles, i.e. at an angle of 90 degrees or π/2 radians. The condition of…
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