diff --git a/mr/ub6/UB6.pdf b/mr/ub6/UB6.pdf index c1cd4ba..1d9b25c 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 0c0881a..8c66a69 100644 --- a/mr/ub6/UB6.tex +++ b/mr/ub6/UB6.tex @@ -208,7 +208,25 @@ \end{enumerate} \Aufgabe{Stereo Vision}{8} \begin{enumerate} + \item As higher $d_{max}$ gets as smaller $z_b$ can be. It has no influnce on the highest observable $z_b$\\ + $z_{p,min}=\frac{f\cdot b}{d_{max}}=\frac{512px\cdot10cm}{64px}=80cm$ \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\cdot a = a^2\cdot \sigma_d = - \frac{f^2\cdot b^2\cdot \sigma_d}{d_{true}^4}= - \frac{f^2\cdot b^2\cdot \sigma_d}{\frac{f^4\cdot b^4}{z_p^4}}= \frac{z_p^4}{f^2\cdot b^2}\sigma_d \\ + $schneller: $\sigma = f'(a)^2\cdot \sigma_{alt} + $ + \item siehe b) + \item $f=512px \\ + b=5cm\\ + o_d=0.5cm\\ + z_p=5m\\ + \sigma_z= \frac{5^4}{512^2\cdot5^2}\cdot 0.5=\frac{5^2}{512^2\cdot 2}=0.0000477=4.77*10^{-5}cm + $ + \item $o_{z}=5\\ + b=\sqrt{\frac{z_p^4}{f^2\cdot o_z}\sigma_d} = \sqrt{\dfrac{5^3}{512^2\cdot2}}= 0.0154 cm + $ \end{enumerate} \end{document}