Shape from Equal Thickness Contours

A unique imaging modality based on Equal Thickness Contours (ETC) has introduced a new opportunity for 3D shape reconstruction from multiple views. We present a computational framework for representing each view of an object in terms of its object thickness, and then integrating these representations into a 3D surface by algebraic reconstruction. The object thickness is inferred by grouping curve segments that correspond to points of second derivative maxima. At each step of the process, we use some form of regularization to ensure closeness to the original features, as well as neighborhood continuity. We apply our approach to images of a sub-micron crystal structure obtained through a holographic process. 1 Introduction The problem of shape-from-X has been a central research topic in the computer vision community. These include-- but are not limited to--shape from shading [4, 11], texture [8], contour [14], color [2, 1], etc. These techniques have been applied from images obtained i..