03/28/2002
15-462 Graphics I
32
Implicit Functions for Booleans
•Solid
as implicit function, F(x,y,z)
–F(x,
y, z) < 0 interior
–F(x,
y, z) = 0 surface
–F(x,
y, z) > 0 exterior
•For
CSG, use F(x, y, z) 2 {-1, 0, 1}
•FA Å B (p) = max (FA(p), FB(p))
•FA [ B (p) = min (FA(p), FB(p))
•FA – B (p) = max (FA(p), - FB(p))