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A local geometry-inclusive global representation of 3D shapes based on the shortest quasi-geodesic paths between all possible pairs of points on the shape manifold is proposed. In the proposed representation, the normal curvature values along the quasi-geodesic paths are shown preserve the local shape geometry. The eigenspectrum of the proposed global representation is exploited to characterize the shape self-symmetry. The commutative property of the shape descriptor spectrum is exploited todoi:10.1109/iccvw.2017.151 dblp:conf/iccvw/DasB17 fatcat:wmk5n6jpnndp7en5q7o23ve3rq