January 2021

Recursive relaxation filters Interactive demonstration of recursive relaxation filters (dip6ex04.02). Recursive resonance filters Interactive demonstration of recursive resonance filters (dip6ex04.03). Pyramids Interactive demonstration of Gaussian und Laplacian pyramids (dip6ex05.01).

Physical systems and recursive filters Physical systems can be regarded as implementations of recursive filters. Compute the point spread function (impulse response) and transfer function of the following physical systems: 1. A cascaded electric low pass filter consisting of two stages each with a resistor R and a capacity C. 2. A spring pendulum with a mass m, a

Band pass filter Design a band pass filter with the following properties: 1. The pass-through wave number should be k = 0.5. 2. The bandwidth of the pass-through range should be adjustable. The filter should be implemented both as a recursive and a non-recursive filter. (Hint: Take the filter [-1 0 2 0 1]/4 as a starting point

Pyramid with finer scale resolution One problem of conventional pyramids is that the size decreasing in every direction by a fixed factor of two. Some applications call for a finer scale resolution. How could you generate a pyramid where the size in both directions decreases not by a factor of two but by a factor

Radiometric quantities Which radiometric quantities describe the following processes: 1. the total radiometric energy emitted by a light source, 2. the radiometric power emitted by a light source per area and solid angle, 3. the radiometric energy received per area and time by an imaging sensor, and 4. the radiometric energy received per area and

Irradiance A light source is mounted on a plane area and emits 1W of radiometric power isotropically into the hemisphere. Which fraction of this power is received by a 10 × 10 μ imaging sensor element at a distance of 1m? How large is the irradiance of the sensor element?

Color mixing Can pure (monochromatic) colors be produced by additive mixing of the three colors red, green, and blue? Metameric colors Imagine a color sensor with three channels, red, green, and blue, that has either a spectral sensitivity corresponding to line sampling (Fig. 6.3a) or to band sampling (Fig. 6.3b) in Section 6.2.3. For each

Overflow detection Interactive demonstration of the detection of underflow and overflow using histograms (dip6ex10.03) Homogeneous point operations Interactive demonstration of homogeneous point operations (dip6ex10.04) Averaging of noisy image sequences Interactive demonstration of the averaging of noisy image sequences; computation of the variance image (dip6ex10.05)

Lookup tables Lookup tables can be used for fast computation of homogeneous point operations. Determine the equations for the computation of lookup tables for the following point operations. The images have Q = 2P discrete values. Also answer the question whether the point operation can be inverted. 1. Negative image (white becomes black and vice versa) 2. A lookup

Problem 10.9: Correction of inhomogeneous illumination Interactive demonstration of the correction of inhomogeneous illumination using in homogeous point operations (dip6ex10.06) Window functions with Fourier transform Interactive demonstration of the use of window functions with the Fourier transform (dip6ex10.07) Interpolation Interactive demonstration of the accuracy of different interpolation methods with sub pixel-accurate scaling, shifting, and rotation