Reverse subdivision aims at constructing a coarse representation of
an object given by a fine polygon mesh. In this paper, we derive a mask for
reverse Loop subdivision. In contrast to the mask proposed before by Samavati
and Bartels, the new mask applies to both regular and extraordinary vertices.
The mask is parameterized, and thus can also be used to reverse variants of
Loop subdivision, such as those proposed by Warren and Litke. We apply this
mask not only to mesh geometry, but also to texture coordinates. This reverses
the texture-mapping process described by DeRose, Kass and Truong, in which a
texture originally defined for a coarse mesh was carried to the finer meshes
obtained by subdivision, the proposed technique yields a multiresolution
representation of textured subdivision surfaces. We illustrate its use with a
set of examples.
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