Based on the Collins integral formula, the propagation of generalized hypergeometric beams in paraxial ABCD optical systems is studied and the analytical expressions for complex amplitude at output plane are obtained.

Quick Solution to Geometric Constraint Based on Genetic Algorithm;

Design and realization of a unified geometric constraint engine;

Research on the strategy of geometric constraint satisfaction problem;

An approach of a general geometry constraint engine: constraint broadcasting automation;

Wavelet diffusion filter considering scale correlation and geometry constraint;

In order to solve the problem of B-spline curve modeling based on physically deforming with geometry constraints,a method of freedom degree transformation is presented.

The problem of size optimization of the cam is analyzed under both geometric constraints, which mainly consist of the maximum pressure angle and the minimum radius of curvature, and dynamic constraints, namely the maximum stress and the shearing strength at the contacting area between the cam and the roller.

At first, feature recognition is applied to extract form features from the range data and subdivide the range data into corresponding segments, then to construct a mathematical model with underlying geometric constraints and to find the optimal solution of the parametric objective function satisfying the constraints.

The user is also able to define necessary geometric constraints, so as to further control the surface shape.