Reconstructing Symmetric Curved Surfaces from a Single Image and Its Application

  • Jiguo Zeng
  • Yan Zhang
  • Shouyi Zhan
  • Chen Liu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4270)


Recent advances in single view reconstruction (SVR) have been in modeling 3D curved surfaces and automation. We extend the SVR along the first direction in several ways: (i) We study the reconstruction of curved surfaces under perspective projection rather than orthographic projection. (ii) We illustrate that the horizontally flipped image of the reflective symmetric objects is equivalent to an image photographed from another position under the simplified perspective projection. So the traditional structure from motion techniques can be used to recover the 3D feature points on them. They can be used to create the planar model of the object and be used as position constraints to generate curved surfaces. (iii) New linear constraints, such as perspective projection, are exploited to the linearly constrained quadratic optimization to finding the smoothest surface. We demonstrate these advances in reconstructing real symmetric curved surfaces and objects.


Feature Point Curve Surface Perspective Projection World Coordinate System Symmetric Plane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Jiguo Zeng
    • 1
  • Yan Zhang
    • 1
  • Shouyi Zhan
    • 1
  • Chen Liu
    • 1
  1. 1.School of Computer Science and TechnologyBeijing Institute of TechnologyBeijingChina

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