#digital scanning

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[documentscanninginc]

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[mashpotatos]

A2: Scanning with Spreadsheets

Okay, I admit to putting this activity off until the weekend after we came back from the Samahang Pisika ng Pilipinas conference in my hometown, Iloilo City, but only because I wasn’t feeling very well. Eventually, I sat down and got to it, thanks to the help of Albert, a classmate and friend. I used the Kingsoft Spreadsheets software, along with Paint and Photoshop for this activity.

The original image

The goal of this activity was to recreate a plot from an old journal. The plot had to either be hand drawn or created with an old XY plotter, which means we had to dig through the College of Science library for an old publication. I didn’t want to have to do that before the SPP conference, so I was planning on waiting until we came back and looking through the older theses in our lab’s archive.

Fortunately, Albert, who was a labmate as well as a classmate, offered to help find me an old plot while looking for his own. Thus, from the Canadian Journal of Physics Volume 29 published in January 1951, comes this plot.

It’s from a paper titled “The Scattering Lengths of the Deuteron” by D. Hurst, et. al. A deuteron is an isotope of hydrogen, consisting of a proton and a neutron, and would be the nucleus of the atom called deuterium. What makes a deuteron special is its stability, as a free neutron would decay, but a deuteron keeps its neutron through its binding energy.

The plot itself was drawn using an old XY plotter, and corrected for rotation and warping using Photoshop.

Recreating the plot

This is where most of the elbow grease went into. Our professor provided the outline of the method: open the plot in Paint, use the X and Y pixel values to determine the ratio of pixels to ticks on the plot, get points from the image and plot them, and compare the result to the original image.

First I went about finding that pixel to tick mark ratio using Paint. I recorded the locations of the ticks then took the average distance between them to serve as my ratio. I got 74.5 pixels per 0.1 units for the X-axis, and about 74.4 pixels per unit for the Y-axis. I used Kingsoft Spreadsheets because I don’t own a copy of MS Office myself, nor did I want to use Google Sheets for fear of connection issues taking a toll on my admittedly short patience.

That wasn’t too bad. Next came the actual points. Looking at the plot, there are six points where measurements were taken, corresponding to scattering angles. I took their pixel locations, not too bad since the points are aligned on the Y-axis, and also recorded the Y-intercepts for the three lines formed, just to ensure I got lines that reached the Y-axis.

As you can see above, I did corrections for my Y pixel values since Paint counts starting from the top of the canvas. I also corrected for the margins using the location of the origin. Only then did I finally make the plot. You can see the resulting line graph, but I used the scatterplot function in Spreadsheets, with connecting lines, since the values I had were technically ordered pairs of X and Y. I manually set my values for the axes, but the ticks were set using the ratios. 

Comparing the two images

Again, I used Spreadsheets, which doesn’t have the function that lets you use an image as a background to a graph, as far as I know, so I copied both images onto Photoshop and set the layer containing the original plot to Multiply, eliminating the white of the paper and allowing a comparison to be made.

Overall, I’d say they line up quite well, don’t you?

Well, that wasn’t nearly as bad as I thought it’d be! That’s probably because I used only seven points for each line, not to mention the fact that they’re lines. Three lines, yes, but lines, nonetheless. I’d be shaming myself if I wasn’t able to recreate something like this. Still, my major concern was finding an actual plot to use, and with Albert’s help, that wasn’t a problem. I will forever be grateful to you, Albert.

Now it’s time for some self-evaluation. Okay, my output is there, and I did show the overlay comparison, although that was with the help of Photoshop. Speaking of Photoshop, I was able to use pixel ratios to fix the warping of the original plot, similar to what we learned in our first meeting of this class. That’s something, right? And I was able to recreate the plot well, even though it just consisted of three lines. But, oops, no captions again. I’m starting to think I won’t use them at all, since Tumblr doesn’t really have a good format for those, unless I switch to using LaTeX, which I probably won’t be doing anytime soon. Overall, I’d give myself a 9 out of 10. I do feel like I didn’t put in enough effort as I could have, with me not finding my own image and all, and it being an easy one to match.

Here come the acknowledgements and references,

D. Hurst, et. al., “The Scattering Lengths of the Deuteron,” Canadian Journal of Physics Volume 29 January 1951

HyperPhysics, for telling me what a deuteron is

My classmate and friend, Albert Yumol, for finding a plot for me to use

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