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

Linear and cubic interpolation A cosine signal is sampled either four or eight times per wavelength. Which signal form is generated when a continuous signal is reconstructed from these sampled signals by either linear or cubic interpolation? Box filters and binomial filters Interactive demonstration of smoothing with box filters and binomial filters (dip6ex11.01)

Multistep smoothing with box filters and binomial filters Interactive demonstration of multistep smoothing with box filters and binomial filters (dip6ex11.02) Box filter Box filter were discussed in detail in Section 11.3. Answer the following questions: 1. Why are box filters bad smoothing filters? List all reasons! 2. Do the bad features improve if you apply

Filter design A filter should be designed with a small mask and optimal smoothing properties. Use a mask with 3 coefficients: [α, β, γ]. The filter should have the following properties: a) Preservation of the mean value b) No shift of gray value structures c) Structures with the largest possible wave number should vanish Questions and

Noise suppression by smoothing 1. Prove that it is not possible to improve the signal-to-noise ratio for a arbitrary single wave number with a linear smoothing filter H. (Hint: write the image G as a sum of the signal part S and the noise part N.) 2. Assume white noise (equally distributed over all wave numbers), but a spectrum of the signal that