Computer Graphics#01 Perspective Projection

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 Computer Graphic(CMU 15-462/662) 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