Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

Primary Navigation

    • Cloud & Deployment
    • Core Language & Structure
    • Data Manipulation & Analysis
    • Engineering Data & Computation
    • External Interfaces & Connections
    • Financial Data & Computation
    • Geographic Data & Computation
    • Geometry
    • Graphs & Networks
    • Higher Mathematical Computation
    • Images
    • Knowledge Representation & Natural Language
    • Machine Learning
    • Notebook Documents & Presentation
    • Scientific and Medical Data & Computation
    • Social, Cultural & Linguistic Data
    • Strings & Text
    • Symbolic & Numeric Computation
    • System Operation & Setup
    • Time-Related Computation
    • User Interface Construction
    • Visualization & Graphics
    • Random Paclet
    • Alphabetical List
  • Using Paclets
    • Get Started
    • Download Definition Notebook
  • Learn More about Wolfram Language

LineTerra

Guides

  • LineTerra

Symbols

  • ImportLAS
  • ImportLAZ
  • LAZtoLAS
  • LineTerra
  • LineTerraNewProject
  • LT3DView
  • LTAddStratum
  • LTAlignmentGraphics
  • LTAllRoadIntersections
  • LTArcGeometry
  • LTBakePolygon
  • LTBakeRoad
  • LTBezierGeometry
  • LTChainages
  • LTCombinedView
  • LTCombinedViewXS
  • LTConvertToGrid
  • LTCoordsToClipboard
  • LTCorridorGeographicPlot
  • LTCorridorLongSection
  • LTCorridorMultiSection
  • LTCorridorPanel
  • LTCorridorSection
  • LTCorridorView
  • LTCorridorWarpedBasemap
  • LTDesignZCurved
  • LTDesignZ
  • LTEPSGToZone
  • LTExpandAlignment
  • LTExportAlignment
  • LTExportCoords
  • LTExportEarthwork
  • LTExportPlanDXF
  • LTExportPlan
  • LTExportProfile
  • LTExportSectionsDXF
  • LTExportSectionsNB
  • LTExportSections
  • LTFindRoadIntersection
  • LTGeoElevContours
  • LTGeoGraphicsOverlay
  • LTGeoMapWithContours
  • LTGrade
  • LTGreatCircle
  • LTGridToLatLon
  • LTGroundZ
  • LTHelmertShiftLL
  • LTLatLonToGrid
  • LTLatLonToOSGB36
  • LTLatLonToUTM
  • LTLatLonToXY
  • LTLoadCorridor
  • LTLoadGeoElevationLL
  • LTLoadGeoElevation
  • LTLoadGeoTIFFMosaic
  • LTLoadGeoTIFF
  • LTLoadLAZMosaic
  • LTLoadLAZTerrain
  • LTLoadProject
  • LTLoadStratum
  • LTLoadXYZ
  • LTMarkAllIntersections
  • LTMetresToAngDeg
  • LTOSGB36ToLatLon
  • LTOSGB36ToWGS84Datum
  • LTOtherRoadsGraphics
  • LTOverlayPhotoInteractive
  • LTOverlayPhoto
  • LTPlanContours
  • LTPointAtChainage
  • LTPolygonQuantities
  • LTRefineTerrain
  • LTSampleGroundProfile
  • LTSampleStratumProfile
  • LTSaveProject
  • LTTerrainContourPreview
  • LTTerrainSourcePanel
  • LTUTMToLatLon
  • LTUTMZone
  • LTWaypointsToXY
  • LTWGS84ToOSGB36Datum
  • LTXSEarthwork
  • LTXSTemplates
  • LTXSView
  • LTXSWithWorks
  • LTXYToLatLon
  • LTXYZPointOverlay
  • $LTEarthRadius
  • $LTState
MalcolmWoodruff`LineTerra`
LTExpandAlignment
​
LTExpandAlignment[ips,radii]
expands the intersection points ips into a curve-resolved centreline, applying a circular arc of the corresponding radius at each interior IP, and gives {points, chainages}.
​
​
LTExpandAlignment[ips,radii,curveTypes]
takes "Arc" or "Bezier" per IP. A radius of 0, and the first and last IP, leave the alignment kinked at that point.
​
Details and Options
▪
The first and last intersection points are never curved, and a radius of 0 leaves its IP as a kink.
▪
Points closer together than 10 mm are collapsed, so the returned centreline has no duplicate vertices at the arc-to-tangent joins.
​
Examples  
(1)
Basic Examples  
(1)
A right-angle turn rounded with a 40 m arc is shorter than the two straight legs:
In[1]:=
Last
LTExpandAlignment
[{{0,0},{100,0},{100,100}},{0,40,0}]2
Out[1]=
182.82
With no curve at the intersection point the full 200 m is walked:
In[2]:=
Last
LTExpandAlignment
[{{0,0},{100,0},{100,100}},{0,0,0}]2
Out[2]=
200.
SeeAlso
LTArcGeometry
 
▪
LTBezierGeometry
 
▪
LTChainages
""

© 2026 Wolfram. All rights reserved.

  • Legal & Privacy Policy
  • Contact Us
  • WolframAlpha.com
  • WolframCloud.com