Inferring Solids Composed of Linear and Quadratic Surfaces from Incomplete Three Views

This paper introduces an automatically reasoning system for inferring linear and quadratic surface solids from incomplete three views. The method is based on human reasoning. Initially, quadratic surface primitives are recognized and extracted according to possibility computation. Then, the data relative only to quadratic surface primitives are removed from the given three views and polyhedrons are constructed based on the remaining data. The final solid is constructed by assembling all the generated quadratic surface primitives and the polyhedrons. The system has been implemented in C and OpenGL on Windows NT. The constructed solid can be observed at any angle by rotating it using the keyboard. Many examples are tested and the experimental results show that the system is very robust, and can accurately and effectively construct a suitable solid composed of linear and quadratic surfaces from incomplete three views.