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Latest revision as of 06:25, 12 June 2015
Contents
Personal Information
I am a rising junior at Harding University in Searcy, Arkansas. I am working toward my B.S. in Mathematics and Computer Science, and will hopefully continue my education in mathematics.
Goals for Summer
 Learn Fourier Transform (in particular the Discrete Fourier Transform)
 Be able to program in MatLab
 Create functions to perform the Fourier Transform and Inverse Fourier Transform
 Be able to test these functions with simulated data
 Integrate my work with Shelby's work
 Potentially, be able to take real data and work with it
Week One
Tuesday, May 29
 Orientation
 All the necessarily paperwork was filled out
 Tour of the campus
 Met mentor and other REU students
Wednesday, May 30
 Library meeting, where the library and some of its resources were shown
 Met with mentor, Dr. Rowe, about what the next few weeks I would be working on
 At this time, I received his book on the Fourier Transform
 Brushed up on any previous math that I thought would be helpful
 Began to get a basic overview of Fourier Transformations
 Read the Preface of the book
Thursday, May 31
 Began to work through Dr. Rowe's book on the Fourier Transform
 Meeting on Good Research Practice by Dr. Factor
 Attempted to familiarize myself with Matlab
 Continued working through the Fourier Transform book
 Began some problems on the Fourier Series (Chapter One)
Friday, June 1
 Spent the day working on teaching myself about Fourier Transformation which consisted off:
 Worked on the problems on the Fourier Series (Chapter One)
 Taking notes and doing the problems on the Continuous Fourier Transformation (Chapter Two)
 I also looked up additional problems and examples online to ensure that I understood what I was doing
Week Two
Monday, June 4
 Spent the day further working on the Fourier Transformation which included:
 Taking notes and doing the problems for Chapter Three of the book "Specific Fourier Transform Pairs"
 Taking notes and doing the problems for Chapter Four of the book "Continuous Fourier Transform Properties"
 Looked up more information on convolution and correlation
Tuesday, June 5
 Spent the day working through the Fourier Transformation book:
 Finished up a few problems from Chapter Four
 Finished taking notes of Chapter Five "2/3D Fourier Transform"
 Finished the problems for Chapter Five
Wednesday, June 6
 Spent the morning working with MatLab attempting to become more familiar with it
 The afternoon I worked on more of the Fourier book:
 Took notes on Chapter Six Discrete Sampling
 Finished the problems for Chapter Six
Thursday, June 7
 Began taking notes on Chapter Seven "Discrete Fourier Transform"
 Attended the working lunch with the other REU students
 Met with my mentor, Dr. Rowe, to further discuss our Goals and Milestones
 Finished taking notes on Chapter Seven
Friday, June 8
 Because the Discrete Fourier Transform is very important, I spent the day focused on it
 Working on problems from the book (Chapter Seven)
 Looking up additional problems and examples to gain more understanding
Week Three
Monday, June 11
 Continued to look at the one dimensional finite discrete Fourier transform
 Began to take notes on Chapter 8 about two and three dimensions
 I used both problems from the book, as well as additional problems on line
Tuesday, June 12
 Looked through several books about Matlab
 Continued to familiarize myself with it
 Began working on a function that would perform a 1D finite discrete Fourier transform
Wednesday, June 13
 Took time to explore the Memorial Library a little
 Continued taking notes on Chapter 8, focusing on the properties of 2/3D Fourier Transforms
 Looked through a book on MatLab
Thursday, June 14
 Worked on MatLab
 Finished working on the function I started working with on Tuesday
 This function would sample a continuous function and then perform the finite discrete Fourier transform
 Finished working on a function that is given sampled data (sampled at a consistent rate) and performs the Fourier transform on it
 Then I went back and had both functions compute the magnitude and phase
 The phase part is having a little trouble, and will need to be fixed, otherwise the 1D Fourier Transforms functions are done
 I also did a sample graph of the original function, the real part of the Fourier Transform, the imaginary part, the magnitude and the phase
Friday, June 15
 Continued to work with MatLab, specifically with graphics
 Looked through the books on MatLab
 Began to look into colormaps a little bit more
Week Four
Monday, June 18
 Continued trying to learn more about MatLab
 Attempted at first to look into two dimensional graphing
 Became distracted with colormapping
 Loaded an image and looked into changing its format
 Performed first two dimensional fourier transform (using the preset fft2 function unfortunately)
 Used this information to graph the real and imaginary parts of the image
 Then performed the fourier transform on the already transformed image and got the original image (with slight scaling changes)
Tuesday, June 19
 Created a two dimensional sampling function
 Tested the function on several images
 Created a two dimensional fourier transform function
 Tested the function on several images
 Created a two dimensional inverse fourier transform function to further test the other function
 Tested the function on several images
Wednesday, June 20
 Attended the LaTex meeting by Dr. Corliss
 Spent the day downloading LaTex and starting to getting used to it
Thursday, June 21
 Working lunch
 Began to collect my thoughts for the talk next week
 Started to create a list of what needs to be in slides
 Began going over previous material to refresh my mind
 Created rough outline for talk
 Made a list of diagrams and formulas that need to be collected
Friday, June 22
 Started reading Chapter Ten "Temporal and Spatial Filtering"
Week Five
Monday, June 25
 Worked on presentation
 Created powerpoint
 Ran through it
 Created images for it
 Met with mentor to answer questions and talk about presentation
Tuesday, June 26
 Minipresentations!
Wednesday, June 27
 Began working on a filtering function
 Started off with a 3x3 mean filter mask
 Ran through a small test
Thursday, June 28
 Spent the day creating a larger test case for the mean filter mask
Friday, June 29
 Tested the larger test and made adjustments accordingly
 Started using other 3x3 filters such as a smoothing and sharpening filter
 Saved images and compared their appearances, as well as their matrices
Week Six
Monday, July 2
 Went back to work on the mean filter more, trying to tweak it a little
 Created a median filter
 Had to tweak the median filter, once I had finished with the mean filter
 Create a Gaussian filter generator
 Tested all of these
Tuesday, July 3
 Looked up information to gain more understanding
 Now have a better understanding of what I'm doing
 Smoothed an image using a Gaussian filter
 Figured out how to sharpen an image (using convolution)
 Created a function to accept a kernel and then sharpen the image corresponding to that
 Talk: What makes a good poster
Wednesday, July 4
 Holiday
Thursday, July 5
 Working lunch
 Began gathering additional information and books about the Fourier Transform
Friday, July 6
 Continued gathering information and began reading
Week Seven
Monday, July 9
 Looked through more information
 Began thinking about paper
Tuesday, July 10
 Continued reading books, seeing what would be helpful
Wednesday, July 11
 Continued reading
Thursday, July 12
 Working lunch
 Started to work on my power point for final presentation
 Continued reading
Friday, July 13
 Worked on an outline for paper
 Created a rough outline for powerpoint
 Read Chapter 10 through 12 again to refresh memory
Week Eight
Monday, July 16
 Began filling in some of the spaces for the powerpoint
 Created a basic outline for the poster
 Began to collect ideas and different information that would need to go on it
Tuesday, July 11
 Continued working on the poster
 Added a few titles and rough info where it needed to go
 Made a list of images that would need to be either created or simply used
 Went over work for paper
Wednesday, July 12
 Created several images for poster
 Went through previous images
 Started to put the images into the poster
 Played around with the graphics of the poster
 Meeting with Dr. Rowe
Thursday, July 12
 Working lunch
 Worked on sample data for Shelby
 Created a 96x96 matrix from phantom with 128 slices
 Added noise to slices to give it a more realistic feeling
Friday, July 13
 Worked on adding pictures to my poster
 Wrote a rough draft abstract
 Continued working on my paper
Week Nine
Monday, July 23
 Worked on poster
 Created images for it in MatLab
 Finished the with everything but a few last touches on the poster
Tuesday, July 24
 Finished up those last touches for poster
 Worked on the different slices, attempting to make them play in a sort of movie
 Once I figured out how to get them to play, I tried to develop different ways to make it easier
Wednesday, July 25
 Poster and abstract due
 Finished up my abstract, reading over the rough draft and changing a few things
 I looked at several examples of abstracts
 Continued working on my paper and power point for next week
Thursday, July 26
 Working lunch
 Worked on my paper
Friday, July 27
 Spent the day working on paper
Week Ten
Monday, July 30
 Finished rough draft of paper!
Tuesday, July 31
 Worked on presentation for Thursday
 Poster Session
 Began editing my paper
Wednesday, August 1
 Finished up presentation
 Went through all the slides
 Practiced a few times
 Edited paper a little more, trying my hand at BibTex
Thursday, August 2
 Presentations!
Friday, August 3
 Finished adding the citations to the LaTex with BibTex
 Finished up with the paper!