Computer Graphics
Homework 02.00

Box filter (dimension = 2, degree = 0)
Consider the 0th degree polynomial function p(u,v) that satisfies
  p(0,0) = 1 
Write the function p(u,v).

p(u,v) =
The separable filter function f(x, y) is defined as
  s = max(||x||, ||y||)
  if (s <= 1) f(x, y) = p(x, y)
  else        f(x, y) = 0 
Graph f(x, y). You can do it by hand or use an automated tool to do it, like mathematica or gnuplot.

 

 

Compute the area under f(x, y). Attach your work on a separate page.

A =