Abstract: A system and method that is able to recognize a user's natural drawing of geometric shapes. The system and method is able to process single-stroke and multi-stroke geometric shapes. It can also apply implicit and user defined constraints to the geometric shapes. The system and method applies these constraints at the vector component level rather than the primitive level. It does this by breaking down both the geometric shapes and constraints on a vector component level. This allows the system and method to handle a larger number of geometric shapes and constraints. After applying the constraints to the geometric shapes at the vector component level, the system and method outputs smooth geometric shapes that incorporated both the implicit and user defined constraints.