psx - MIT OpenCourseWare http:/ocw.mit.edu HST.582J /...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
MIT OpenCourseWare http://ocw.mit.edu HST.582J / 6.555J / 16.456J Biomedical Signal and Image Processing Spring 2007 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Problem Set X QUIZ 1 will take place on Tuesday, March 20, from 9:30-11 am in 56-154 (usual time and place). The quiz will cover material presented in lecture through Thursday, March 8. The quiz will be closed book. One 8 1 11 inch sheet of notes (both sides) will be allowed. 2 × Coverage of topics on the quiz will be somewhat representative of the amount of time spent on each topic in lectures, labs and problem sets. You are not responsible for material in the course notes that was not covered elsewhere in the course. Please see the annotated Outline of Course Notes for listings of specific topics. This ungraded problem set will help you prepare for the quiz in two ways. First, it will give you a chance to think about solving problems in imaging processing, which was not covered in any previous problem set. Second, it illustrates the type of questions asked on previous years’ quizzes. This problem set will not be collected or graded. Solutions will be posted on the course website by Thursday, March 15. Harvard-MIT Division of Health Sciences and Technology HST.582J: Biomedical Signal and Image Processing, Spring 2007 Course Director: Dr. Julie Greenberg HST-582J/6.555J/16.456J-Biomedical Signal and Image Processing-Spring 2007 Cite as: Julie Greenberg, Bertrand Delgutte, William (Sandy) Wells, John Fisher, and Gari Clifford. Course materials for HST.582J / 6.555J / 16.456J, Biomedical Signal and Image Processing, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]. 1
Background image of page 2
Problem 1 Consider the following small image for parts a) and b) : 1234567 1239 4567 a) Calculate the image that results from convolution with the following kernel: 111 Don’t worry about boundary values – just provide the result for the central 5 by 5 part of the result. b) Calculate the image that results from applying a 3 × 3 median filter to the image described above. Again, don’t worry about boundary values – just provide the result for the central 5 by 5 part of the result. Cite as: Julie Greenberg, Bertrand Delgutte, William (Sandy) Wells, John Fisher, and Gari Clifford. Course materials for HST.582J / 6.555J / 16.456J, Biomedical Signal and Image Processing, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]. 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Problem 2 The gradient of a two-dimensional function is a vector-valued derivative. The x component of the gradient is defined by ∂f ( x,y ) . ∂x Consider the following three discrete approximations to the x component of the gradient of an image f . For each case, determine a convolution kernel that produces an image containing the given approximation of the x component of the gradient.
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 16

psx - MIT OpenCourseWare http:/ocw.mit.edu HST.582J /...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online