Accurate and efficient point cloud registration is essential in various fields, such as robotics, autonomous driving medical imaging. The size of clouds presents a significant challenge for existing methods. In this paper, novel sampling method to improve the performance process proposed. Instead geometric feature preservation, which preferred most methods, our approach scales every groups scal...

Let μ∈ P2(Rd), where P2(Rd) denotes the space of square integrable probability measures, and consider a Borel-measurable function Φ:P2(Rd)→R. In this paper we develop an antithetic Monte Carlo estimator (A-MLMC) for Φ(μ), which achieves sharp error bound under mild regularity assumptions. The takes as input empirical laws μN=1N∑ i=1NδX i, (a) (Xi)i=1N is sequence i.i.d. samples from μ or (b) sy...

• We present a new adaptive sampling method for statistical quality control. In this method, called LSI (Laplace sampling intervals), we use the probability distribution function of the Laplace standard distribution to obtain the sampling instants, depending on a k parameter that allows control of sampling costs. Several algebraic expressions concerning the statistical properties of the LSI met...