diff --git a/mr/ub6/UB6.pdf b/mr/ub6/UB6.pdf index 4836ac6..bb0f376 100644 --- a/mr/ub6/UB6.pdf +++ b/mr/ub6/UB6.pdf Binary files differ diff --git a/mr/ub6/UB6.tex b/mr/ub6/UB6.tex index c4f58e3..78fe9d7 100644 --- a/mr/ub6/UB6.tex +++ b/mr/ub6/UB6.tex @@ -145,7 +145,7 @@ \end{itemize} werte falsch ... finde rechenfehler nicht. - \item $(K^{-1} p_R)^T\cdot E\cdot K^{-1}p_L = p_R^{T}\cdot K^{T^{-1}}\cdot E\cdot K^{-1} \cdot p_L\\ + \item $(K^{-1} v_R)^T\cdot E\cdot K^{-1}v_L = v_R^{T}\cdot K^{T^{-1}}\cdot E\cdot K^{-1} \cdot v_L\\ E= K^T\cdot F\cdot K \\ F= K^{T^{-1}}\cdot E\cdot K^{-1}$\\ K = calibration matrix of the cameras @@ -203,19 +203,19 @@ k_B=1893\\ k_A\cdot t_A=567\cdot 140ns=79380ns\\ k_B\cdot t_B=1893\cdot 40ns= 75720ns$\\ - So the time for computation of B is smaller even with more points needed. So we choose B because of faster computationtime. If we are short for points however we should use A even though it takes more time. + So the time for computation of B is smaller even with more points needed. So we choose B because of a faster computation time. If we are short for points however we should use A even though it takes more time. \end{enumerate} \Aufgabe{Stereo Vision}{8} \begin{enumerate}[(a)] - \item As $d_{max}$ increases $z_b$ decreases. So $d_{max}$ sets a lower bound. For $d$ appoaching 0 $z_b$ goes to infinity, so there is no upper bound set by setting $d_{max}$\\ + \item As $d_{max}$ increases $z_b$ decreases. So $d_{max}$ sets a lower bound. For $d$ approaching 0 $z_b$ approaches infinity, so there is no upper bound set by a fixed $d_{max}$\\ $z_{p,min}=\frac{f\cdot b}{d_{max}}=\frac{512px\cdot10cm}{64px}=\frac{2^9}{2^6}\cdot10cm=80cm$ \item $ d \sim N(d_{true},\sigma_d)$\\ $z_{p}(d)=\frac{f\cdot b}{d}$\\ TaylorApprox:\\$z_p(d)=z(d_{true})+z'(d_{true})(d-d_{true})=\frac{f\cdot b}{d_{true}}- \frac{f\cdot b}{d_{true}^2}(d-d_{true})= \frac{2f\cdot b}{d_{true}}-\frac{f\cdot b}{d_{true}^2}\cdot d\\ \sigma_z= |A|\cdot \sigma_d = \frac{f\cdot b}{d_{true}^2}\cdot \sigma_d= \frac{f\cdot b}{\frac{f^2\cdot b^2}{z_p^2}}\cdot \sigma_d= \frac{z_p^2}{f\cdot b}\sigma_d \\ - $schneller: $\sigma = |f'(a)|\cdot \sigma_{alt} + % $faster: $\sigma = z'(d_{true})|\cdot \sigma_{alt} $ \item see b) \item $f=512px \\ diff --git a/mr/ub6/assignment06.pdf b/mr/ub6/assignment06.pdf index 1c1c568..0c43f48 100644 --- a/mr/ub6/assignment06.pdf +++ b/mr/ub6/assignment06.pdf Binary files differ