Table 1. Table showing the corner cases and calculation for an arbitrary pixel (where x,y denote pixel coordinates and w,h abbreviates width-in-pixels and height-in-pixels).

	Vector	Coordinates
Top-left corner	o	[ox oy oz]
Top-right corner	o+u	[ox+ux oy+uy oz+uz]
Bottom-left corner	o+v	[ox+vx oy+vy oz+vz]
Bottom-right corner	o+u+v	[ox+ux+vx oy+uy+vy oz+uz+vz]
Any pixel	o+x/w*u+y/h*v	[ox+x/w*ux+y/h*vx oy+x/w*uy+y/h*vy oz+x/w*uz+y/h*vz]