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nD Polyhedral Scene Reconstruction from Single 2D Line Drawing by Local Propagation

  • Hongbo Li
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3763)

Abstract

In this paper, we study the problem of reconstructing the polyhedral structures and geometric positions of a general nD polyhedral scene from a single 2D line drawing. With the idea of local construction and propagation, we propose several powerful techniques for structural reconstruction (i.e. face identification) and geometric reconstruction (i.e. realizability and parametrization). Our structural reconstruction algorithm can handle 3D solids of over 10,000 faces efficiently, outperforming any other existing method. Our geometric reconstruction algorithm can lead to amazing simplification in symbolic manipulation of the geometric data, and can be used to find linear construction sequences for non-spherical polyhedra.

Keywords

Polyhedra Structural Reconstruction Geometric Reconstruction Grassmann-Cayley Algebra Local Propagation 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Hongbo Li
    • 1
  1. 1.Mathematics Mechanization Key Laboratory, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina

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