Surface Reconstruction with Parametric Patches
Based on Squared Distance Function
Li Mingxing, Liu Zhigang, Lin Zhihang
(State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University,
Xi'an 710049, China)
Abstract: A new approach for the surface reconstruction with arbitrary topology by
parametric patches fitting is presented, where the surface is divided into patches and
each is reconstructed by a parametric surface. The quadrilateral meshes are generated from
point cloud, and each patch with the boundary is parameterized as the initial model based
on the quadrilateral meshes. The reconstruction method is an iterative procedure regarding
squared distance function (SDF) as measurement of the error to approach the initial
parametric models to the target. The patch boundaries, then the patches themselves, are
reconstructed respectively, and the position connectivity among the patches are ensured
during the reconstruction. This approach enables to avoid the parametrization of the point
cloud. The reconstructed surface is primarily affected by the quadrilateral meshes and can
be improved by introducing penalty function. A case study shows the effectiveness of this
approach for complex model reconstruction
Keywords: point cloud; surface reconstruction; parametric surface; squared distance
function