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In mathematics, a Catmull-Rom spline is a cardinal spline with a tension of 0.5.
Given n+1 points
- p0, ..., pn,
to be interpolated with n cubic Hermite curve segments, for each curve we have a starting point pi and an ending point pi+1 with starting tangent mi and ending tangent mi+1
with the tangents defined by
- <math> \mathbf{m}_i = \frac{1}{2}(\mathbf{p}_{i+1}-\mathbf{p}_{i-1}) <math>.
with the first and last tangent given.
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