Towards Fast and Smooth Subdivision Surface Reconstruction

Surfaces Representation with Sharp Features Using SQRT(3) and Loop Subdivision Schemes

“…This is because Loop scheme preserves the existing of the edges during the iteration of the subdivision process. While Sqrt (3) scheme flipping the edges with every subdivision process.…”

“…Nowadays, subdivision algorithms are popular for many kinds of applications, such as mechanical design, geometric modeling, simulation and movie character creation [1]. Many different schemes have been proposed [2], [3], [4], [5], [6], [7]. However, subdivision rules can be derived in the regular case only.…”

“…Therefore, both the Loop scheme and the 4-8 schemes [9] were adapted naturally to cope with sharp edges while the Catmull-Clark scheme [10] was excluded. The Sqrt (3) scheme is a little more complicated to adapt. This scheme also moves its existing points, but at the same time, it restructures the connections of the edges, so that an edge is only at its same topological position every two steps.…”