This paper proposes an efficient pairwise surface matching approach for the automatic assembly of 3d fragments or industrial components. The method rapidly scans through the space of all possible solutions by a special kind of random sample consensus (RANSAC) scheme. By using surface normals and optionally simple features like surface curvatures, we can highly constrain the initial 6 degrees of...

We prove that degrees that are low for Kurtz randomness cannot be diagonally non-recursive. Together with the work of Stephan and Yu [16], this proves that they coincide with the hyperimmune-free non-DNR degrees, which are also exactly the degrees that are low for weak 1-genericity. We also consider Low(M, Kurtz), the class of degrees a such that every element of M is a-Kurtz random. These are ...

Traditional formulae for standard errors and subsequent statistical significance tests implemented in various popular statistical packages are based on the premise that the data are a simple random sample (SRS) of observations from a superpopulation. Equivalently, the observations are assumed to be independent and identically distributed (IID). For complex analytic surveys, these assumptions ar...

and non-symmetric otherwise. We implicitly assume that both integrals ∫ ln p(x) dμ(x) and ∫ ln(1 − p(x)) dμ(x) are finite. It is natural to raise the following questions: A) Does simple random walk have an invariant measure absolutely continuous wrt μ. Denote by ξx(t) ∈ {Smx,−∞ < m < ∞} the position at time t of the moving particle which starts at x. B) What is the limiting distribution of ξx(n...

We consider Gibbs measures on the set of paths of nearest-neighbors random walks on Z+. The basic measure is the uniform measure on the set of paths of the simple random walk on Z+ and the Hamiltonian awards each visit to site x∈Z+ by an amount x ∈R, x∈Z+. We give conditions on ( x) that guarantee the existence of the (in nite volume) Gibbs measure. When comparing the measures in Z+ with the co...

Ranked set sampling is considered as an alternative to simple random and maximum ranked a very useful modification of sampling. In this paper we focused on information content with unequal samples in terms past extropy measure also the negative cumulative its dynamic version based designs. We compare data, data each other. Also here obtained new discrimination among for measure.

Two main axiomatically based risk measures are the coherent risk measure, which assumes subadditivity for random variables, and the insurance risk measure, which assumes additivity for comonotonic random variables. We propose a new, data based, risk measure, called natural risk statistic, that is characterized by a new set of axioms. The new axioms only require subadditivity for comonotonic ran...

In this paper, we investigate the efficacy of subdomain testing and random testing using the expected number of failures detected (the E-measure) as a measure of effectiveness. Simple as it is, the E-measure does provide a great deal of useful information about the fault-detecting capability of testing strategies. With the E-measure, we obtain new characterizations of subdomain testing, includi...