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B-spline - Wikipedia

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In numerical analysis, a B-spline (short for basis spline) is a type of spline function designed to have minimal support (overlap) for a given degree, smoothness, and set of breakpoints (knots that partition its domain), making it a fundamental building block for all spline functions of that degree. A B-spline is defined as a piecewise polynomial of order 𝑛 , meaning a degree of 𝑛 − 1 . It’s built from sections that meet at these knots, where the continuity of the function and its derivatives depends on how often each knot repeats (its multiplicity). Any spline function of a specific degree can be uniquely expressed as a linear combination of B-splines of that degree over the same knots,[1] a property that makes them versatile in mathematical modeling. A special subtype, cardinal B-splines, uses equidistant knots. The concept of B-splines traces back to the 19th century, when Nikolai Lobachevsky explored similar ideas at Kazan University in Russia,[2] though the term "B-spline" was

B-spline - Wikipedia Jump to content From Wikipedia, the free encyclopedia Spline function This article needs more citations . Please help improve this article by adding citations to reliable sources . Unsourced material may be challenged and removed . Find sources: "B-spline" – news · newspapers · books · scholar · JSTOR ( January 2022 ) ( Learn how and when to remove this message ) In numerical analysis , a B-spline (short for basis spline) is a type of spline function designed to have minimal support (overlap) for a given degree , smoothness , and set of breakpoints (knots that partition it

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