InceptCurves: curve reconstruction using an inception network

Curve reconstruction is a fundamental task in many visual computing applications. In this paper, a data-driven approach for curve reconstruction is proposed. We present an inception layered deep neural network structure, capable of learning simultaneously the number of control points and their positions in order to reconstruct the curve. To train the network, a large set of general synthetic data is generated. The reconstructed uniform B-spline closely approximates any arbitrary input curve, with or without intersections. Because the network predicts the number of control points required for the B-spline reconstruction, redundancy is reduced in the curve representation. We demonstrate our approach on various examples.