Instructions
4 questions.
Write code where appropriate.
Feel free to include images or equations.
Please use only the space provided and keep the page breaks. Please do not make new pages, nor remove pages. The document is a template to help grading.
If you really need extra space, please use new pages at the end of the document and refer us to it in your answers.
Questions
Q1: Explicitly describe image convolution: the input, the transformation, and the output. Why is it useful for computer vision?
Q2: What is the difference between convolution and correlation? Construct a scenario which produces a different output between both operations
Q3: What is the difference between a high pass filter and a low pass filter in how they are constructed, and what they do to the image? Please provide example kernels and output images.
Q4: How does computation time vary with filter sizes from 3 × 3 to 15 × 15 (for all odd and square sizes), and with image sizes from 0.25 MPix to 8 MPix (choose your own intervals)? Measure both using cv2.filter2D() to produce a matrix of values. Use the cv2.resize() function to vary the size of an image. Use an appropriate 3D charting function to plot your matrix of results, such as plot surface() or contour3D.
Do the results match your expectation given the number of multiply and add operations in convolution?
See RISDance.jpg in the attached file.
