Communication, Networking, Signal and Image Processing (CS)

Question 5: Image Processing

August 2016 (Published in Jul 2019)

## Problem 1

a) $\lambda_n^c=\lambda_n^b-\lambda_n^d$

b) $G_n = \frac{d\lambda_n^c}{dx}=-\mu (x,y_0+n\Delta d)\lambda_n^c$

c) $\lambda_n = \lambda_n^c e^{-\int_{0}^{x}\mu(t)dt} \Longrightarrow \hat{P}_n = \int_{0}^{x}\mu(t)dt= -ln(\frac{\lambda_n}{\lambda_n^c}) = -ln(\frac{\lambda_n}{\lambda_n^b-\lambda_n^d})$

d) $\hat{P}_n = \int_{0}^{T_n}\mu_0dt = \mu_0 T_n$

  A straight line with slope $\mu_0$


$<\math> ==Problem 2== a)Since U is$p \times N$,$\Sigma$and V are$N \times N$\\$

## Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva