Geometric Definition of the Hidden Part of a Line Drawing in a Sketch-to-Solid Methodology

ABSTRACT

The method presented in this paper is part of a 3-step reconstruction methodology for the extraction of a polyhedron from a single view natural sketch. In particular, the current paper focuses on the 2D geometric definition of the hidden part in a topologically reconstructed line drawing (intermediate wireframe sketch) as this is generated from the given natural sketch. The proposed method is based on the different topologic relations that exist in the hidden part of the intermediate sketch. Contrarily to other approaches it employees the cross-section criterion to ensure that the final fully-determined wireframe sketch is realizable. The proposed method is successfully applied to indicative line drawings with various combinations of visible and hidden elements.

GRAPHICAL ABSTRACT

Keywords:

• computer-aided sketching
• sketch-to-solid
• wireframe sketch

ACKNOWLEDGMENTS

The research of Ph. Azariadis has been co-financed by the European Union (European Social Fund - ESF) and Greek national funds through the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF) - Research Funding Program: THALES (MIS 379516), Investing in knowledge society through the European Social Fund.