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How does the programming behind transforming a picture work?
I'm interested in what happens when you "Free Transform" an image in photoshop. It allows you to skew the image into a perspective, resize, rotate, and so on. How does the programming behind that work?
- wtracy 14y agoIf you're mathematically inclined, look at: http://en.wikipedia.org/wiki/Transformation_matrix http://en.wikipedia.org/wiki/Transformation_matrix For a less technical description: The pixel values in the transformed image are generated as a function of the pixel values in the input image. Once you have the transformation function figured out, the rest is basic algebra. If you want to get an idea of what these functions look like, flip to the "Examples in 2D graphics" section in the above Wikipedia link. There's examples there for rotation, resizing, shearing, and others.
- dmak 14y agoI never thought that learning Linear Algebra would be useful until today.
- wtracy 14y agoComputer animation is just about the only thing I've used calculus for outside of school. So yeah, I hear you. :-)
- kombinatorics 14y agoWow, thanks for the info. I always liked proof based math more than the applied math. Linear Algebra is going to be a lot more interesting now.