Q-Warping: Direct Computation of Quadratic Reference Surfaces

Authors:
Amnon Shashua;Yonatan Wexler
Affiliations:
Hebrew Univ., Jerusalem, Israel;Univ. of Maryland, College Park
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
2001

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Abstract

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驴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.