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Image Invariants for Smooth Reflective Surfaces Aswin C. Sankaranarayanan1
 

Summary: Image Invariants for Smooth Reflective Surfaces
Aswin C. Sankaranarayanan1
, Ashok Veeraraghavan2
, Oncel Tuzel2
, and
Amit Agrawal2
1
Rice University, Houston, TX 77005, USA
2
Mitsubishi Electric Research Labs, Cambridge, MA 02139, USA
Abstract. Image invariants are those properties of the images of an object that re-
main unchanged with changes in camera parameters, illumination etc. In this pa-
per, we derive an image invariant for smooth surfaces with mirror-like reflectance.
Since, such surfaces do not have an appearance of their own but rather distort the
appearance of the surrounding environment, the applicability of geometric in-
variants is limited. We show that for such smooth mirror-like surfaces, the image
gradients exhibit degeneracy at the surface points that are parabolic. We lever-
age this result in order to derive a photometric invariant that is associated with
parabolic curvature points. Further, we show that these invariant curves can be
effectively extracted from just a few images of the object in uncontrolled, un-

  

Source: Agrawal, Amit - Mitsubishi Electric Research Labs

 

Collections: Engineering