  We present a novel algorithm to compute multi-scale curvature fields on
triangle meshes. Our algorithm is based on finding robust mean curvatures using
the ball neighborhood, where the radius of a ball corresponds to the scale of
the features. The essential problem is to find a good radius for each ball to
obtain a reliable curvature estimation. We propose an algorithm that finds
suitable radii in an automatic way. In particular, our algorithm is applicable
to meshes produced by image-based reconstruction systems. These meshes often
contain geometric features at various scales, for example if certain regions
have been captured in greater detail. We also show how such a multi-scale
curvature field can be converted to a density field and used to guide
applications like mesh simplification.
