On Limitations of the Witness Configuration Method for Geometric Constraint Solving in CAD Modeling

TL;DR

This paper discusses the limitations of the recently proposed witness configuration method for geometric constraint solving in CAD, highlighting its current shortcomings in addressing key tasks despite its promise.

Contribution

It identifies and validates specific limitations of the witness configuration method in solving geometric constraints within CAD systems.

Findings

Limited effectiveness in three key geometric constraint tasks

Examples demonstrate the method's current shortcomings

Highlights need for further research to overcome these limitations

Abstract

This paper presents discussions on the limitations of the witness configuration method. These limitations have rarely been reported in previous studies. The witness configuration method is a very recent approach for geometric constraint solving, which is of critical importance for modern computer-aided design systems. The witness configuration method may be the most promising method to solve satisfactorily the challenges of geometric constraint solving. This method, in the current form, is however found to be limited for the three essential tasks in the geometric constraint solving domain. Examples are given to validate this work's statements on these limitations.