3D reconstruction of freeform shapes from 2D line drawings

  • Authors:
  • Yang Liu;Yong Tsui Lee

  • Affiliations:
  • Nanyang Technological University, Singapore;Nanyang Technological University, Singapore

  • Venue:
  • Proceedings of the 9th ACM SIGGRAPH Conference on Virtual-Reality Continuum and its Applications in Industry
  • Year:
  • 2010

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Abstract

This paper presents a method in constructing a 3D freeform surface patch from a 2D line drawing. The study focuses on drawings containing four edges that form the boundary of surface patches. The four edges form two pairs of opposite edges which are used as the basis of interpolation to create two sets of 2D backbone curves. Each curve of one set intersects the curves of the other set at specific points. By assuming that two curves are orthogonal at their crossing point, it is possible to apply the Cubic Corner Theory to recover the 3D coordinates of the point. A complete curve can be reconstructed in 3D by recovering sufficient 3D points on it. After recovering all the 3D curves of one set of backbones, a freeform surface is fitted over them. Experimental results show that the recovered surfaces are promising. Controls are provided within the system to adjust the shape of a surface; this is a useful tool given the non-unique nature of the result.