Today I started off the day with reading a book that outlines the math we have been working with during this project - Multiple View Geometry in . . . by Richard Hartley. Our math has not been working during recent days, making it very difficult for us to decide whether or not the broadcast system is feasible. In order to determine this, we have to get results that indicate we are are doing the calculations properly, even if they are not 100 percent accurate. The accuracy is something we will compare to the three focal length camera later. In addition, we know that this math has been proven before, so there must be a mistake in what we are doing.
Carl explained to us that we were doing the inverse of the wrong matrix. This realization helped us clear up on misconception that will hopefully help us get accurate results in the future.
Furthermore, I found a paragraph in the book which discussed the differences between Euclidean transformation and affine transformations. Both could contian a transformation and rotation of the origin; thus, I though that we needed to use the same origin on the Image J and the Ice Rink perspective in order to get accurate results. This conclusion was something that I had previously arrived upon as well. However, Emma was able to complete one test that was accurate, indicating that the math was done in the proper manner. She didn't use the same origin, so that theory for the error has been discarded.
This test was the only one that had accurate results, even with the appropriate matrix inverse, forcing us to search for our mistake once again. I decided to move onto working on the program. I went through the mathematical steps, and everything seems to be in order. However, the results are not what I get when doing the calculations by hand. I completed another inaccurate test of a broadcast frame, and I will use this frame to at least find the error in my program.
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