Abstract: Proposed a new computing mechanism called shape computing to treat a geometric problem
in a geometric way. In this computing mechanism, theory and methods in geometry, algebra, descriptive
geometry and modern computing tools are synthesized. A new paradigm of multi-dimensional
integration is proposed, i.e. 3D thinking, 2D diagrams and linear computing. It is apt to build an
algorithm framework in a macro geometric perspective. It will provide a much more efficient
supplement to normal numeric computing to solve a very wide class of problems in geometric
computation.

Key words: geometry, geometric computing, algebraic computing, graphic computing