Integrating Integration!

The video I watched in class was based in a high school math class as the students were learning how to perform transformations on parent functions. The students took pictures of objects around their school that had curves similar to functions they knew. They then uploaded these pictures and fit graphs to the curves by transforming their graphs. I thought this was such a cool way to incorporate technology in a way that encouraged creativity and required students to implement many skills they had learned. The students had to be able to recognize functions in the natural world and then be able to know how manipulating those functions to make them fit their pictures. Below is a link to this video.
http://www.coetail.com/beeslesr/2014/11/19/course-five-final-project-reflection/

My idea is to expand on this idea in order to adapt it for a Calculus class. Once a class has learned integration, they could find an object and take a picture of it. Then the students could transform graphs to outline the object, it would probably take several different functions. Students would be able to determine the complexity of their object. Once they have traced the object with graphs, they would be able to integrate those graphs over the correct domains to figure out the area of the object they had photographed!

This is an example of what this may look like for a student. This was a slightly different project done using a program called Geogebra where the image was created from the graph instead of the other way around.

I believe this is the redefinition level because the technology would allow students to fit graphs fairly accurately to their pictures and they could even make their graphs to scale with the actual size of their object. This would allow students to apply and explore several different mathematical concepts at once, culminating in a direct application of integration.