Q-Warping: Direct Computation of Quadratic Reference Surfaces

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 8-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 warpingalgorithmthat 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.

• Type: Conference
• Year: 1999
• Where: CVPR
• Authors: Yonatan Wexler, Amnon Shashua
• Keywords: 8-parameter Flow Models, Affine Flow Models, Classic Flow Models, Computer Vision, CVPR 1999, Parametric Flow, Planar Reference Surface