Inlier Confidence Calibration for Point Cloud Registration
Authors: Yongzhe Yuan, Yue Wu, Xiaolong Fan, Maoguo Gong, Qiguang Miao, Wenping Ma

Inliers estimation constitutes a pivotal step in partially overlapping point cloud registration. Existing methods broadly obey coordinate-based scheme where inlier confidence is scored through simply capturing coordinate differences in the context. However this scheme results in massive inlier misinterpretation readily consequently affecting the registration performance. In this paper we explore to extend a new definition called inlier confidence calibration (ICC) to alleviate the above issues. Firstly we provide finely initial correspondences for ICC in order to generate high quality reference point cloud copy corresponding to the source point cloud. In particular we develop a soft assignment matrix optimization theorem that offers faster speed and greater precision compared to Sinkhorn. Benefiting from the high quality reference copy we argue the neighborhood patch formed by inlier and its neighborhood should have consistency between source point cloud and its reference copy. Based on this insight we construct transformation-invariant geometric constraints and capture geometric structure consistency to calibrate inlier confidence for estimated correspondences between source point cloud and its reference copy. Finally transformation is further calculated by the weighted SVD algorithm with the calibrated inlier confidence. Our model is trained in an unsupervised manner and extensive experiments on synthetic and real-world datasets illustrate the effectiveness of the proposed method.