Abstract: This paper presents a method of rectangular polyhedron reconstruction from single sketchy drawing,allowing users to create 3D shapes by sketching in engineering design.According to the structural characteristics of the rectangular polyhedron model,we define the hierarchy of features and the transformation rules in the polyhedron reconstruction process,and realize the feature transformation among different levels by rule deduction.This enables users to create the polyhedron model rapidly by means of lineal sketch.Furthermore,decision tree is adopted to manage the transformation rule set in order to implement the training and updating of the rule.It guarantees expansibility and robustness of the rule set.The experiment results prove that the proposed method generates a variety of complex rectangular polyhedron models and the decision tree method supports the training and updating of the rule set effectively.