Scientific Computing with Python 3

Exercises

Ex. 1 → Write a function that plots an ellipse given its center coordinates (x,y), the half axis a and b rotation angle θ.

Ex. 2 → Write a short program that takes a 2D array, e.g., the preceding Mandelbrot contour image, and iteratively replace each value by the average of its neighbors. Update a contour plot of the array in a figure window to animate the evolution of the contours. Explain the behavior.

Ex. 3 → Consider an N × N matrix or image with integer values. The mapping

is an example of a mapping of a toroidal square grid of points onto itself. This has the interesting property that it distorts the image by shearing and then ...