diff --git a/report/references.bib b/report/references.bib index 6ba45dc..472849f 100644 --- a/report/references.bib +++ b/report/references.bib @@ -24,3 +24,11 @@ url = "http://opensource.org/licenses/Zlib", urldate = "2015-03-12" } + +@online{spline, + author="Jana Proch\'azkov\'a", + title="DERIVATIVE OF B-SPLINE FUNCTION", + url="http://mat.fsv.cvut.cz/gcg/sbornik/prochazkova.pdf", + urldate="2015-03-12" +} + diff --git a/report/subsections/splines.tex b/report/subsections/splines.tex index 91750d3..f0a79df 100644 --- a/report/subsections/splines.tex +++ b/report/subsections/splines.tex @@ -35,3 +35,5 @@ The \texttt{prime} member function computes the derivative like this $$C'(t) = \sum_{i=0}^m N_i^{\prime n} (t) P_i $$ with $$ N_i^{\prime n}(t) = \frac{n}{t_{i+n}-t_{i}}N_i^{n-1}(t) - \frac{n}{t_{i+n+1}-t_{i+1}}N_{i+1}^{n-1}(t)$$ + +These formulas have been taken from the reference \cite{spline}.