This research focuses on the reconstruction of a trihedral solid from a single natural sketch. In particular, it aims at developing a new interactive sketch-based environment for the conceptual design phase. The proposed solution is based on Graph Theory, Solid Modeling, Euclidean Geometry, and Topology combining with heuristic criteria whenever mathematical theories are proved to be inadequate (eg., a natural sketch does not always provide sufficient  information for the corresponding polyhedron to be constructed).

The proposed algorithm proceeds in two steps. In the first step a wireframe sketch is constructed from the initial natural sketch. This wireframe sketch  consists of the minimum, and at the same time sufficient to define a valid solid model, number of hidden lines, junctions and regions. In the second step a polyhedron is constructed from the minimal wireframe sketch,  in such a way that the orthographic projection of the constructed polyhedron identifies with the initial natural sketch.

This research resulted in my PhD Thesis (Department of Product and Systems Design Engineering, University of the Aegean, 2007), which is written in Greek.

The following publications present the proposed reconstruction algorithm.

 

Related to this research Publications:

Journal Papers:

  1. 3D Object Modeling using Sketches, S. Kyratzi, N.S. Sapidis, Information Resources Management Journal (IRMJ), 24(4), pp. 27-49, 2011.
  2. Extracting a polyhedron from a single view sketch: Topological construction of a wireframe sketch with minimal hidden element, S. Kyratzi, N.S. Sapidis, Computers and Graphics, 33(3), 270-279 (2009).
  3. Improved Computational Tools for Concept Development based on Sketches and Advanced CAD Technologies, N.S. Sapidis, S. Kyratzi, P. Azariadis, Computer Aided Design and Applications, 2(6), 707-716 2005. [pdf]

Conference Papers:

  1. An Interactive Sketching Method for 3D Object Modeling, S. Kyratzi, N. Sapidis, 3rd ACM International Conference on Digital Interactive Media in Entertainment and Arts (DIMEA 2008), Athens, Greece, 10-12 September 2008.
  2. Προκαταρκτικός Σχεδιασμός Βιομηχανικού Προϊόντος με Υπολογιστή: Νέες Στρατηγικές Έρευνας και Μέθοδοι στηνΑυτόματη Κατασκευή Τρισδιάστατου Στερεού από Σκίτσο., Σ. Κυρατζή, Ν. Σαπίδης, Ελληνική Βιομηχανία: προς την οικονομία της γνώσης, 3-5 Ιουλίου 2006, Αθήνα. [pdf]