From e1f115c75b607471b0bb744f2c8371d2ecfc1b7a Mon Sep 17 00:00:00 2001
From: bobarna <barnabas.borcsok@gmail.com>
Date: Thu, 10 Dec 2020 00:07:04 +0100
Subject: [PATCH] distance constraint tikz figure
---
docs/documentation.aux | 11 +-
docs/documentation.log | 594 ++++++++++++++++++++++++++++++-----------
docs/documentation.out | 4 +-
docs/documentation.pdf | Bin 591369 -> 596050 bytes
docs/documentation.tex | 36 +++
5 files changed, 483 insertions(+), 162 deletions(-)
diff --git a/docs/documentation.aux b/docs/documentation.aux
index 88ff1e7..b918c2f 100644
--- a/docs/documentation.aux
+++ b/docs/documentation.aux
@@ -50,10 +50,11 @@
\newlabel{eq:distance_constraint}{{1}{4}{Distance Constraint}{equation.3.1}{}}
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\newlabel{section:bendingConstraint}{{3.4}{4}{Bending Constraint}{subsection.3.4}{}}
+\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Projection of the distance constraint $C(\boldsymbol {p_1}, \boldsymbol {p_2}) = \lvert \boldsymbol {p_1} - \boldsymbol {p_2} \rvert - d$. The corrections $\Delta \boldsymbol {p_i}$ are weighted according to the inverse masses $w_i = 1/m_i$.\relax }}{4}{figure.caption.7}\protected@file@percent }
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\citation{PixarVolumetricHair}
\citation{FTLHair}
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@@ -83,8 +84,8 @@
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\@writefile{toc}{\contentsline {section}{\numberline {B}Supplementary development}{6}{appendix.B}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {B.2}Recording the simulation on-the-fly}{7}{subsection.B.2}\protected@file@percent }
\newlabel{TotPages}{{7}{7}{}{page.7}{}}
diff --git a/docs/documentation.log b/docs/documentation.log
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diff --git a/docs/documentation.out b/docs/documentation.out
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diff --git a/docs/documentation.tex b/docs/documentation.tex
index 8a40444..97d6649 100644
--- a/docs/documentation.tex
+++ b/docs/documentation.tex
@@ -17,6 +17,9 @@
\newcommand{\specialcell}[2][t]{%
\begin{tabular}[#1]{@{}l@{}}#2\end{tabular}}
+\usepackage{tikz}
+\usetikzlibrary{arrows.meta}
+
\usepackage[ruled, linesnumbered]{algorithm2e}
% \usepackage{algorithmic}
\renewcommand{\b}{\boldsymbol}
@@ -414,6 +417,39 @@ The final corrections are:
\frac{\b{p_1} - \b{p_2}}{\lvert \b{p_1} - \b{p_2} \rvert}
\end{align*}
+\begin{figure}
+ % \rule{\columnwidth}{0.05em}
+ \caption{Projection of the distance constraint $C(\b{p_1}, \b{p_2}) = \lvert \b{p_1}
+ - \b{p_2} \rvert - d$. The corrections $\Delta \b{p_i}$ are weighted according
+ to the inverse masses $w_i = 1/m_i$.}
+ \begin{tikzpicture}
+
+ \draw[-] (-3,0)--(4,2);
+
+ % p1 in lower left
+ \fill[black] (-3,0) circle (0.7ex);
+ \draw (-3,0) node[below=1ex]{$\b{p_1}$};
+ \draw (-3,0) node[left=1ex]{$m_1$};
+
+ \draw[-Latex] (-3,0.2) -- (-1,0.77);
+ \draw (-2,0.3) node[above=1ex]{$\b{\Delta \b{p_1}}$};
+
+ % p2 in upper right
+ \fill[black] (4,2) circle (0.7ex);
+ \draw (4,2) node[below=1ex]{$\b{p_2}$};
+ \draw (4,2) node[right=1ex]{$m_2$};
+
+ \draw[Latex-] (1,1.343) -- (4,2.2);
+ \draw (2.5,1.6) node[above=1ex]{$\b{\Delta \b{p_1}}$};
+
+ % middle
+ \draw[line width=0.5em] (-1,0.76) -- (1,1.333);
+ \draw (0,1.0465) node[above=1ex]{$d$};
+
+ \end{tikzpicture}
+ % \rule{\columnwidth}{0.05em}
+\end{figure}
+
Since the type of the Distance Constraint is \emph{equality}, the projection is
straight forward: we move both by $\b{p_1}$ and $\b{p_2}$ by $\Delta \b{p_1}$ and
$\Delta \b{p_2}$ respectively.
--
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