Tracks are now generated from spline geometry instead of linear node interpolation, allowing smooth and continuous rail curves across the network.

The system includes:

• Catmull–Rom spline interpolation
• Arc-length lookup tables (LUT) for constant-speed movement
• Analytic tangent and curvature calculations
• Stable orientation frames derived from spline tangents
• Forward pivot support for temporary train models
• Improved gate proximity detection using train dimensions
• Workspace-driven spline authoring through control point attachments

Core mathematical systems include:

P(t)=c₀+c₁t+c₂t²+c₃t³

P'(t)=c₁+2c₂t+3c₃t²

κ=|P'(t)×P''(t)| / |P'(t)|³

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