Research Article

Geodesics on Point Clouds

Table 1

Comparison of the running times of Algorithm 1 and Algorithm 2 and the procedure of geodesic correction for models of Figure 9. The first 2 rows show the running times of applying Algorithm 1 on implicit surfaces, while the last 2 rows show those of applying Algorithm 2 on point clouds.

ModelHand
(sources: 272)
(cells: 290)
Sculpture
(sources: 289)
(cells: 311)

Time of Algorithm 1 (s)63.2374.37
Time of geodesic correction procedure (s)244.39290.42
Time of Algorithm 2 (s)51.7159.37
Time of geodesic correction procedure (s)245.11299.74