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Add Euler spiral curve representation #169

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Add Euler spiral curve representation #169

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Commits on Feb 11, 2021

  1. Experiment with Euler spirals 

    Checkpoint of experiment work
    @raphlinus
    raphlinus committed Feb 11, 2021
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  2. Continue development of Euler 

    WIP
    @raphlinus
    raphlinus committed Feb 11, 2021
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  3. Add ParamCurve traits for Euler 

    Adds derivatives and curvature.
    @raphlinus
    raphlinus committed Feb 11, 2021
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  4. Start curve fitting 

    Generate Euler spirals from cubics.
    @raphlinus
    raphlinus committed Feb 11, 2021
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  5. Euler to cubic conversion 

    Iterate from Euler spirals to cubics, with an error tolerance.
    @raphlinus
    raphlinus committed Feb 11, 2021
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Commits on Feb 16, 2021

  1. Refine Euler integration 

    Provide accuracy (with verified error bounds).
    @raphlinus
    raphlinus committed Feb 16, 2021
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Commits on Feb 17, 2021

  1. Performance tuning on euler integral 

    Add benchmarks and refine error estimation (the powf was potentially
expensive).
    @raphlinus
    raphlinus committed Feb 17, 2021
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  2. Slight cleanup of types and signatures 

    Rename "FitEulerResult" to "EulerParams".
    @raphlinus
    raphlinus committed Feb 17, 2021
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Commits on Feb 18, 2021

  1. Make Euler examples accessible 

    Also make them easier to find and improve docs a bit.
    @raphlinus
    raphlinus committed Feb 18, 2021
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Commits on Feb 19, 2021

  1. Parallel curves 

    A pretty good implementation of parallel curves, including handling the
cusp, and applying the closed-form error metric for subdivision.
    @raphlinus
    raphlinus committed Feb 19, 2021
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  2. Make clippy happy

    @raphlinus
    raphlinus committed Feb 19, 2021
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  3. More pictures in the examples 

    This commit captures the source code for the illustrations in the
parallel curve blog post.
    @raphlinus
    raphlinus committed Feb 19, 2021
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