  We present a novel coarse-to-fine framework that derives a semi-regular
multiscale mesh representation of an original input mesh via remeshing. Our
approach differs from the conventional mesh wavelet transform strategy in two
ways. First, based on a lazy wavelet framework, it can convert an input mesh
into a multiresolution representation through a single remeshing procedure. By
contrast, the conventional strategy requires two steps: remeshing and mesh
wavelet transform. Second, the proposed method can conditionally convert input
mesh models into ones sharing the same adjacency matrix, so it is able be
invariant against the triangular tilings of the inputs. Our experiment results
show that the proposed multiresolution representation method is efficient in
various applications, such as 3D shape property analysis, mesh scalable coding
and mesh morphing.
