Kochanek-Bartels tension, continuity and bias spline

In your harnessMesh algorithmMIT

Interpolate keys with cubic Hermite segments whose tangents are shaped by tension, continuity and bias, as in animation key editors. Use it for motion paths and value curves with overshoot or sharp keys.

Render of Kochanek-Bartels tension, continuity and bias spline — The render its check recorded in Godot 4.7.2, 256 by 256 pixels.

What it takes and gives

Entry points: hermite, tcb_tangents, tcb_spline, build, main
Parameters: tension, continuity, bias, samples_per_segment
Complexity: O(keys * samples_per_segment)
Axes: +Y up, metres

Limits. Keys are equally spaced in time; uneven key times would need the tangent scaling of the original paper, which is not applied. Large continuity values make visible corners by design. Open ends repeat the neighbour difference.

Details

Kind: Mesh algorithm
Engine: Python 3.10 or later
Files: 10 files, 243.4 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: Kochanek-Bartels (TCB) splines (1984), Cubic Hermite basis
Tags: kochanek-bartels, tcb spline, hermite, animation, interpolation, keyframes
Identity: library.supply.creative_originals.9878f231d4eba61b19db117d.56f150ec9b42aa51
Version: 56f150ec9b42aa510ec3200d22836d45172ab533029a0d7569ab811f8b986ad1

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Kochanek-Bartels tension, continuity and bias spline

What it takes and gives

Details

Related files