This article presents a novel and mature framework of technical procedures to construct a set of computer-imitated microstructure entities for simulating real microstructure of composite materials. The computer simulation respects not only the similitude of geometry but also analogy of orientations of material constituents available in real composite materials. Two proposed methods to copy a microstructure from a real one or an invented one are introduced in detail. The great importance of visualized simulation and modularized architecture of microstructures is especially elucidated with emphases on how geometric entities and orientational identities of a computergenerated microstructure can be altered, manipulated and combined so as to create an invented microstructure in terms of prescribed demands. The article illustrates that making basic microstructure modules is vital to microstructure architecture. It is also demonstrated by a number of vivid figures that one can make elaborately invented composite microstructures by combining basic modules of different types. The article concludes that with an increase of demands for advanced materials and demands for precise prediction of material properties the development of microstructure designing and tailoring is more and more toward local geometry-orientation-based microstructure construction rather than overall-based microstructure imitation. Software, namely ProDesign, has been developed for the visualized simulation and modularized architecture of microstructure of composite material samples. The software may provide one with a tool of versatile functionality for computer-based microstructure designing, tailoring and experiments toward property-oriented architecture.