The arithmetic decoding process is the reverse of the encoding procedure. Decode the message 0.23355 given the coding model.
| Symbol | Probability |
| a | 0.2 |
| e | 0.3 |
| i | 0.1 |
| o | 0.2 |
| u | 0.1 |
| ! | 0.1 |
To decode the arithmetic-coded message 0.23355, we need to follow these steps: ### Step 1: Compute the Cumulative Probability Ranges Each symbol’s range is based on its cumulative probability. | Symbol | Probability | Cumulative Range | |---------|------------|------------------| | a | 0.2 | [0.0, 0.2) | | e | 0.3 | [0.2, 0.5) | | i | 0.1 | [0.5, 0.6) | | o | 0.2 | __________ ____ ____ ___ ________ ______ ______ _______ ________ ___ ________ _________.
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Suppose that an image f(x, y) is convolved with a mask of size n x n (with cofficients 1/n²) to produce a smoothed image .
i) Derive an expression for edge strength (edge magnitude) of the smoothed image as a function of mask size. Assume for simplicity that n is odd and that edges are obtained using the partial derivatives
ii) Show that the ratio of the maximum edge strength of the smoothed image to the maximum edge strength of the orginal is 1/n. In other words, edge strength is inversely proportional to the size of the smoothing mask.
Consider a 3x3 spatial mask that averages the four closet neighbours of a point
(x, y), but excludes the point itself from the average.
i) Find the equivalent filter, H (u, v), in the frequency domain.
ii) Show that your result is a lowpass filter.
Consider an 8-pixel line of intensity data, (108,139,135,244,172,173,56,99). If it is uniformly quantized with 4-bit accuracy, compute the rms error and rms signal-to- noise ratios for the quantized data.
Apply Prewitt operators and Sobel operators for the image given below:
An automobile manufacturer is automating the placement of certain components on the bumpers of a limited-edition line of sports cars. The components are colour coordinated, so the robots need to know the colour of each car in order to select the appropriate bumper component. Models come in only four colours: blue, green, red, and white. Find a solution based on imaging and determine the colour of each car, keeping in mind that cost is the most important consideration.
The arithmetic decoding process is the reverse of the encoding procedure. Decode the message 0.23355 given the coding model.
| Symbol | Probability |
| a | 0.2 |
| e | 0.3 |
| i | 0.1 |
| o | 0.2 |
| u | 0.1 |
| ! | 0.1 |
Two images, f (x,y) and g (x,y), have histograms he and hg. Give the condition under which you can determine the histograms of
i) f(x,y)+g(x, y)
ii) f(x,y)-g(x,y)
iii) f(x, y)xg(x, y)
iv) f(x,y)+g(x,y)