Skewed Mirror Symmetry in the 3D Reconstruction of Polyhedral Models

Ana Piquer Vicent
Universitat Jaume I
Dept. of Technology
E-12004, Castellon
Spain

e-mail:pvicent@tec.uji.es

http://www.tec.uji.es/publico/personal/item?id=pvicent

 

Pedro Company Calleja
Universitat Jaume I
Dept. of Technology
E-12004, Castellon
Spain

e-mail:pcompany@tec.uji.es

http://www.tec.uji.es/publico/personal/item?id=pcompany

 

Ralph R. Martin
Cardiff University
Dept. of Computer Science
PO Box 916, Cardiff CF24 3XF

UK

e-mail:ralph@cs.cf.ac.uk

http://ralph.cs.cf.ac.uk/

Keywords: Planes of Symmetry. 3D Reconstruction. Mirror Symmetry. Skewed facial-symmetry. Axis of Symmetry. Sketch Input. Sketch Understanding.

Abstract

We aim to reconstruct three-dimensional polyhedra from axonometric line drawings. Existence of symmetry in polyhedra can assist the reconstruction process. We present a new approach for determining planes of mirror symmetry of such polyhedral objects based on prior detection of their planar faces and any axes of symmetry of these faces. The axes are obtained from skewed facial symmetries, for which we also give a new method of determination.