Abstract
Abstract
Symmetry in a mesh can be described as invariancy in specific transformations, such
as reflection, translation and rotation. In this study, we propose a new approach for
extracting the intrinsic curve that separates the mesh into two, each of these being the
reflective symmetry of other.
The algorithm starts with sampling points around the mesh, using AGD (Average
Gedoesic Distance) , followed by MGD ( Minimum Geoedsic Distance ) and
acquiring the local extremums in both. Our algorithm uses a descriptor called trilateral
descriptor, which is an extension for the cutting edge methods that uses one or
two points as descriptors. The trilateral descriptor connects the acquired points from
MGD and AGD, then generates bins from the points located inside these connections.
Histograms are created by the bins, and compared between each other, resulting in
pointwise matching. Lastly we generate the curvature using the matched points. The
curvature process uses another AGD call and generation of curve with the midpoints
of matched points with the descriptor. The curvature extraction can be also improved
with consecutive update calls.