Notation

ch/EmbeddedIsotropicRemeshing/Smoothing/VertexWeightSmoothing.tex

@@ -3,9 +3,9 @@
 
 Seeing how Forest Fire Smoothing potentially relocates a vertex to a local sub-area of the patch that is the thickest, the next approach is rating possible positions by the minimal distance from the patches vertices. Essentially we are attempting to minimize the weight $w$
 \begin{equation}
-w:=\sum_{p\in{P}}\textsc{Dist}(b,p)^2 \rightarrow \textsc{min}(w)
+w:=\sum_{v^{\mathcal{B}}_p\in{P}^\mathcal{B}\subset V^\mathcal{B}}\textsc{Dist}(v^{\mathcal{B}}_b,v^{\mathcal{B}}_p)^2 \rightarrow \textsc{min}(w)
 \end{equation}
-for a meta vertex $v^{\mathcal{M}}_a$ and the surrounding patch $P$ by finding the base vertex $v^{\mathcal{B}}_b$ inside the patch $P$ for which $w$ is minimal. In the embedded meta mesh structure this works as follows:
+for a meta vertex $v^{\mathcal{M}}_a$ and the surrounding patch $P^\mathcal{B}$ by finding the base vertex $v^{\mathcal{B}}_b$ inside the patch $P^\mathcal{B}$ for which $w$ is minimal. In the embedded meta mesh structure this works as follows:
 
 \begin{minipage}[t]{0.25\textwidth}
   \def\svgwidth{\textwidth}