“B-spline”的概念、定义、翻译、参考文献-科学参考

B-spline

Computer

A piecewise polynomial function, defined over a knot sequence, that has local support and is nonnegative (see spline). The B-spline of order n (degree n–1) is zero everywhere except over the n successive spans
$x_{i - n} < x_{i - n + 1} < \dots < x_{i}$
The importance of B-splines is that any spline can be expressed as a sum of multiples of B-splines, and if a spline of degree n–1 is expressed in terms of B-splines, then changing the coefficient of one of the B-splines alters precisely n spans of the curve without affecting its continuity properties.

单词	B-spline
释义	B-spline Computer A piecewise polynomial function, defined over a knot sequence, that has local support and is nonnegative (see spline). The B-spline of order n (degree n–1) is zero everywhere except over the n successive spans $x_{i - n} < x_{i - n + 1} < \dots < x_{i}$ The importance of B-splines is that any spline can be expressed as a sum of multiples of B-splines, and if a spline of degree n–1 is expressed in terms of B-splines, then changing the coefficient of one of the B-splines alters precisely n spans of the curve without affecting its continuity properties.
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