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  "body": "\n## Summary\n\nA B-spline is a [[spline|84TJ8KQ926]] of given degree on a given knot sequence that is nonnegative and nonzero only on a few consecutive knot intervals.\nThe B-splines of degree $p$ on a knot sequence form a basis of the corresponding spline space.\nSo every such spline is a unique combination of them.\nThey are computed by a stable recursion, they sum to $1$, and each one is local.\nThis makes them the standard representation of splines in numerical work and in computer-aided design.\nCurves built from them, including [[NURBS|Y8B2N9ERPE]], are evaluated with [[de Boor's algorithm|5JHFB384BF]].\n\n## Explanations\n\n### L1 human\n\nA B-spline is a small smooth bump made of polynomial pieces.\nOf degree $0$ it is a box, equal to $1$ on one interval and $0$ elsewhere.\nOf degree $1$ it is a tent, rising from $0$ to $1$ and back down over two intervals.\nHigher degrees give smoother and wider bumps.\nAny spline is a weighted sum of such bumps, and changing one weight only changes the curve nearby.\nThe [[definition|8R4CVVV8WT]] gives the recursion.\n",
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