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I have a homework with the problem set like the following:

When a B-spline is evaluated at one of its knots it can be simplified according to the formula

$B(t_i | t_j,...,t_{j+1+p}) = B(t_i | t_j,...,t_{i-1},t_{i+1},t_{j+1+p})$

What does the vertical bar means here? I can see that the right hand side skips $t_i$.

dresden
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1 Answers1

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My guess ...

The vertical bar just serves to separate the function argument from other numbers that are used in the function's definition.

So, $B(t | t_r, \ldots , t_s)$ denotes the value at $t$ of the b-spline that is constructed from the knots $t_r, \ldots , t_s$.

bubba
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