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Lecture notes in mathematics
We present, in details, a generic tool to estimate differential geometric quantities on digital shapes, which are subsets of Z d . This tool, called digital integral invariant, simply places a ball at the point of interest, and then examines the intersection of this ball with input data to infer local geometric information. Just counting the number of input points within the intersection provides curvature estimation in 2D and mean curvature estimation in 3D. The covariance matrix of the samedoi:10.1007/978-3-319-58002-9_9 fatcat:lukbsriyjjgy7nngkg37pwnjdq