planerotation

Fast plane rotation algorithm?

I am working on an application that detects the most prominent rectangle in an image, then seeks to rotate it so that the bottom left of the rectangle rests at the origin, similar to how IUPR's OSCAR system works. However, once the most prominent rectangle is detected, I am unsure how to take into account the depth component or z-axis, ...

Code or formula for intersection of two parabolas in any rotation

I am working on a geometry problem that requires finding the intersection of two parabolic arcs in any rotation. I was able to intesect a line and a parabolic arc by rotating the plane to align the arc with an axis, but two parabolas cannot both align with an axis. I am working on deriving the formulas, but I would like to know if ther...