Perspective Projection: My First Lesson to Computer Graphics

As an architect, I have never thought about the principle behind when I was modeling in Rhino, SketchUp, Revit, etc. This is a series of articles while I am learning the CMU 15-462 Computer Graphics by Prof. Keenan Crane.

The idea behind projection can see as coordinate transformation. I set the camera position as a point on this curve and its projection vector targets at $(0,0,0)$. Hence, the coordinates of objects projected can be mapped to the plane defined by the vector of green, red, and blue. The 2D-version of the points on the plane can be denoted as $u,v$.

The following animation is created by a Grasshopper script. Left: Drawing the lines in top-view Right: The animation path