Abstract: A novel method of solving geometric constraints of family of object models was imposed, and two new type clusters were presented, namely scalable subset and radial subset Smaller collections of rewriting rule were used exhaustivcly, and were applied in rigid or non-rigid cluster systems, until there is no available rewrite rules so far, and the final cluster collections represent solution strategy of constraint system. A incremental algorithm and solution selection strategy in the solving method were imposed and implemented. Solutions of constraint problem are found efficiently in this method,and the number of solutions will be reduced.

Key words: Family of object, Geometric constraint, Solving rule, Incremental algorithm, Solving selection strategy