With the advent of the smartphone, cameras have suddenly become very convenient. Like many others, I enjoy taking pictures on my rather old, outdated phone. I became interested in how to take better-quality photos despite my device’s limitations, and a Google search pointed me toward high dynamic range (HDR) imaging. The process involves taking multiple photos instead of just one to produce a final image that shows a real-world scene more completely. I started researching the limits of what HDR imaging currently has to offer, and many of the methods had yet to overcome obstacles, most of which often originated common problems (e.g. camera shake). I thought it was intuitive for there to be a way to automatically correct a picture when taken, especially when the problems precluded HDR imaging from working properly, and that’s where my investigation for a solution began.

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• Mathematics