Abstract: By discussing its essence and contradictions, this paper finds out the key to
graphics computation and constructs the common infrastructure of graphics. It is concluded that
the essence of a figure is not determined by its primitives but by the relations among them.
Afterwards, the latest development of graphics computation theories, methods and technologies is
introduced. The research characteristics in geometrization and necessity of original basis
researches are summed up. A geometric computation theory system and its implementation
framework based on the geometrization of geometric problems are proposed, and the latest
original theories and mechanisms in constructing stable graphics computation through the way of
geometry are elaborated, which include the theories of unifying, researching and developing
graphics computation basis, the mechanisims of shape computationand so forth.

Key words: graphics computation, the essence of a figure, the latest development, geometric
computing, geometrization