Q-warping: Direct computation of quadratic reference surfaces

Amnon Shashua*, Yonatan Wexler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We consider the problem of wrapping around an object, of which two views are available, a reference surface and recovering the resulting parametric flow using direct computations (via spatio-temporal derivatives). The well known examples are affine flow models and eight-parameter flow models - both describing a flow field of a planar reference surface. We extend those classic flow models to deal with a Quadric reference surface and work out the explicit parametric form of the flow field. As a result we derive a simple warping algorithm that maps between two views and leaves a residual flow proportional to the 3D deviation of the surface from a virtual quadric surface. The applications include image morphing, model building, image stabilization, and disparate view correspondence.

Original languageAmerican English
Pages (from-to)920-925
Number of pages6
JournalIEEE Transactions on Pattern Analysis and Machine Intelligence
Issue number8
StatePublished - Aug 2001


  • Direct estimation
  • Multiview geometry
  • Quadratic reconstruction


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