Efficient 3D Volume Reconstruction from a Point Cloud Using a Phase-Field Method

Abstract EN

We propose an explicit hybrid numerical method for the efficient 3D volume reconstruction from unorganized point clouds using a phase-field method.

The proposed three-dimensional volume reconstruction algorithm is based on the 3D binary image segmentation method.

First, we define a narrow band domain embedding the unorganized point cloud and an edge indicating function.

Second, we define a good initial phase-field function which speeds up the computation significantly.

Third, we use a recently developed explicit hybrid numerical method for solving the three-dimensional image segmentation model to obtain efficient volume reconstruction from point cloud data.

In order to demonstrate the practical applicability of the proposed method, we perform various numerical experiments.