primenumbers web page

Tweet

• Functions and linearity (1)
• Functions and linearity (2)
• Perspective correct mapping

Defined the function

decomposing each variable with a linear combination :



where is the coefficient for the combination,

we get

and finally

Once defined the linear combination

with

applying an affine transformation



we get

In the system of coordinates where the observer O is in the point
and the projection screen has equation Y=d:

Given the real points  we have their perspective projections ;
taking a linear combinations of them  we can locate the corresponding projected real point on the real line joining  .

Using the notation for each coordinates of the new real point
and for the original real points  ,
we have the Perspective correct mapping :



Wich is very different from the simple Affine texture mapping :