Transfinite interpolation: Difference between revisions

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m References: Added 1 dois to journal cites using AWB (10090)
Fixed the formula to have the correct intersection points P12, P34, etc.
Line 31:
 
<math>
\begin{array}{rcl}
\vec{S}(u,v)&=&(1-v)\vec{c}_1(u)+v\vec{c}_3(u)+(1-u)\vec{c}_2(v)+u\vec{c}_4(v)-\\
&& -
\left[
(1-u)(1-v)\vec{P}_{1,42}+uv\vec{P}_{2,3,4}+u(1-v)\vec{P}_{13,2}+(1-u)v\vec{P}_{31,4}
\right]
\end{array}
</math>
 
where, e.g., <math>\vec{P}_{1,42}</math> is the point where curves <math>\vec{c}_1</math> and <math>\vec{c}_4_2</math> meet.
 
== References ==