Making Movies Come Alive

Many movie animation techniques are based on mathematics.
Characters, background, and motion are all created using software
that combines pixels into geometric shapes which are stored and
manipulated using the mathematics of computer graphics. Software
encodes features that are important to the eye, like position,
motion, color, and texture, into each pixel. The software uses
vectors, matrices, and polygonal approximations to curved surfaces
to determine the shade of each pixel. Each frame in a
computer-generated film has over two million pixels and can have
over forty million polygons. The tremendous number of calculations
involved makes computers necessary, but without mathematics the
computers wouldn.t know what to calculate. Said one animator, ". .
. it.s all controlled by math . . . all those little X,Y.s, and Z.s
that you had in school - oh my gosh, suddenly they all apply." For
More Information: Mathematics for Computer Graphics Applications,
Michael E. Mortenson, 1999.