Isolating Motion and Color in a Motion Blurred Image

Abstract

Photographic images of moving objects are often characterized by motion blur; analyzing motion blurred images is problematic since the moving object boundaries appear fuzzy and seamlessly blend with the background. In extreme cases, when the object motion is fast in relation to the exposure time, the blurred object image becomes an elongated, semitransparent smear.We consider a motion-blurred color image of an object moving over a still background: we introduce meaningful entities, the "alpha map" and the "color map", which bear information about the object motion during the exposure, and its color and texture; we draw connections to the well-known alpha matting problem, providing an original interpretation in this context; we present an analytic technique for extracting the two maps under assumptions on the background and object colors, and explore the relaxation of these assumptions. We provide experimental results on both synthetic and real images, which confirm the correctness of our approach, and describe diverse application examples in fields spanning from 3D reconstruction to image/video enhancement.

Fortune cookies and smartphones: Weakly unrelayable channels to counter relay attacks

“…Motion blur occurs when a recorded object (the cookie in our case) moves during the camera exposure time or the camera moves itself (we do not consider this case in our model). We use the following motion blur model [27]. The opaque object (the fortune cookie) moves (from left to right) during the process of image capture.…”