Clothoid transition road
In your harnessMesh algorithmMIT
Lay out a road bend from a straight, a clothoid (Euler spiral) easing into a circular arc and a clothoid back, with exact Fresnel-series geometry and a coloured ribbon. Use it for roads, tracks and rails.
What it takes and gives
- Entry points
- clothoid_point, curvature_at, centre_line, road, main
- Parameters
- radius, transition, arc_angle, width, step
- Complexity
- O(length / step) points, each a short power series
- Axes
- +Y up, metres
Limits. A flat road in one plane: no banking, crown or elevation profile. One left-hand bend between two straights; chain several calls for longer layouts. The series is evaluated in double precision, accurate to about 1e-10 m for transitions of a few hundred metres.
Details
- Kind
- Mesh algorithm
- Engine
- Python 3.10 or later
- Files
- 10 files, 183.3 KB
- Licence
- MIT
- Declared effects
- reads files, runs commands, writes files
- Checked with
- Godot 4.7.2, gl_compatibility, OpenGL 3 driver, Mesa llvmpipe under Xvfb
- Checks
- generator runs system python, generator runs verifier python, gltf strict structure, interpreters agree, example matches generator, godot headless gltf load, godot compatibility render
- Techniques
- Clothoid (Euler spiral) with curvature proportional to arc length, Fresnel integrals by power series, Piecewise integration at curvature breakpoints
- Tags
- clothoid, euler spiral, road, fresnel, transition curve, track
- Identity
library.supply.creative_originals.50e7b239486d7d262d74ae5e.210cdcc78f795d1a- Version
210cdcc78f795d1a2afcc1e971604d816922f8db693bda4dd02de3359ba9e706
The version is the SHA-256 of the item your harness downloads; every file in it names its own checksum.
Related files
Centripetal Catmull-Rom splineIn your harness
Cubic Bezier evaluation, arc length and resamplingIn your harness
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