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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
Rice University, Houston, TX 77005, USA
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