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lines changed Original file line number Diff line number Diff line change @@ -1448,10 +1448,10 @@ <h1><a href="index.html" style="text-decoration:none;">Robotic Manipulation</a><
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14491449 < p > The model points and the scene points in their corresponding frame are given as:</ p >
14501450
1451- $$\prescript{W}{}{p^ {m_1} }=\begin{pmatrix} 1 \\ 0 \end{pmatrix} \qquad
1452- \prescript{W}{}{p^ {m_2} }=\begin{pmatrix} -1 \\ 0 \end{pmatrix} \qquad
1453- \prescript{O}{}{p^ {s_1} }=\begin{pmatrix} 1 \\ 0 \end{pmatrix} \qquad
1454- \prescript{O}{}{p^ {s_2} }=\begin{pmatrix} -1 \\ 0 \end{pmatrix}.$$
1451+ $${}^Wp^ {m_1}=\begin{pmatrix} 1 \\ 0 \end{pmatrix} \qquad
1452+ {}^Wp^ {m_2}=\begin{pmatrix} -1 \\ 0 \end{pmatrix} \qquad
1453+ {}^Op^ {s_1}=\begin{pmatrix} 1 \\ 0 \end{pmatrix} \qquad
1454+ {}^Op^ {s_2}=\begin{pmatrix} -1 \\ 0 \end{pmatrix}.$$
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14561456 < p > The true correspondence is given by their numbering, but note that we
14571457 don't know the true correspondence - ICP simply determines it based on
@@ -1460,7 +1460,7 @@ <h1><a href="index.html" style="text-decoration:none;">Robotic Manipulation</a><
14601460 write down the resulting optimization as:</ p >
14611461 $$\begin{aligned} \min_{p_x,p_y,a,b} \quad & \sum_i \bigg\|
14621462 \begin{pmatrix} p_x \\ p_y \end{pmatrix} + \begin{pmatrix} a & -b \\ b &
1463- a \end{pmatrix} \prescript{W}{}{p^ {m_{c_i}}} - \prescript{O}{}{p^ {s_i} } \bigg\|^2 \\ \text{s.t.} \quad &
1463+ a \end{pmatrix} {}^Wp^ {m_{c_i}} - {}^Op^ {s_i} \bigg\|^2 \\ \text{s.t.} \quad &
14641464 a^2 + b^2 = 1. \end{aligned}$$
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14661466 < ol type ="a ">
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