From e0958c7bf9c1fdae70a9854d52c656ba981b9896 Mon Sep 17 00:00:00 2001 From: Frank Dellaert Date: Fri, 5 Apr 2013 13:10:20 +0000 Subject: [PATCH] Explicit Jacobian for Pose3::between --- doc/math.lyx | 7 +++++-- doc/math.pdf | Bin 127396 -> 127548 bytes 2 files changed, 5 insertions(+), 2 deletions(-) diff --git a/doc/math.lyx b/doc/math.lyx index 55d83ab10..05eb355ad 100644 --- a/doc/math.lyx +++ b/doc/math.lyx @@ -4728,7 +4728,10 @@ between in its first argument, \begin_inset Formula \[ -\frac{\partial\left(T_{1}^{^{-1}}T_{2}\right)}{\partial\xi_{1}}=-\Ad{T_{2}^{^{-1}}T_{1}} +\frac{\partial\left(T_{1}^{^{-1}}T_{2}\right)}{\partial\xi_{1}}=-\Ad{T_{2}^{^{-1}}T_{1}}=\left[\begin{array}{cc} +-R_{2}^{T}R_{1} & 0\\ +R_{2}^{T}\left[t_{2}-t_{1}\right]_{\times}R_{1} & -R_{2}^{T}R_{1} +\end{array}\right] \] \end_inset @@ -5177,7 +5180,7 @@ Aligning 3D Scans \end_layout \begin_layout Standard -Below is the explanaition underlying Pose3.align, i.e. +Below is the explanation underlying Pose3.align, i.e. aligning two point clouds using SVD. 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