This paper proposes a globally optimal direct least squares (DLS) method for the PnP problem with Cayley parameterization. First we derive a new optimality condition without Lagrange multipliers, which is independent of any rotation representations. Then, we show that the new equation can be solved by several types of parameterizations and among them, Cayley parameterization is the most efficie...

Associated with a parameterization for the three-parameter lognormal distribution, algorithm was proposed by Komori and Hirose (2004), which can find a local maximum likelihood (ML) estimate surely if it exists. Nevertheless, by Vera and DiazGarcia (2008) it was shown that performance in finding a local ML estimate deteriorated by adopting the parameterization only and using other algorithm. In...

High-end parallel systems present a tremendous research challenge on how to best allocate their resources to match dynamic workload characteristics and user habits that are often unique to each system. Although thoroughly investigated, job scheduling for production systems remains an inexact science, requiring significant experience and intuition from system administrators to properly configure...

Many applications benefit from surface parameterization, including texture mapping, morphing, remeshing, compression, object recognition, and detail transfer, because processing is easier on the domain than on the original irregular mesh. We present a method for simultaneously parameterizing several genus-0 meshes possibly with boundaries onto a common spherical domain, while ensuring that corr...

The Special Number Field Sieve factoring algorithm has a large number of parametric choices, each of which can affect its run time. We give guidelines for these choices along with a discussion of useful coding optimizations. We also give a theoretical argument which shows that the choice of sieving region that has been used so far in successful factorizations is not optimal. §

Prosodic headedness generally refers to the location of relevant prosodic events at the left or right end of prosodic constituents. In a bottom-up procedure based on a computational F0 stylization we tested several measures to quantify headedness in parametrical and categorical terms for intonation in the accentual phrase (AP) domain. These measures refer to F0 level and range trends as well as...

We solve the problem of computing global conformal parameterizations for surfaces with nontrivial topologies. The parameterization is global in the sense that it preserves the conformality everywhere except for a few points, and has no boundary of discontinuity. We analyze the structure of the space of all global conformal parameterizations of a given surface and find all possible solutions by ...

A method for parameterization of closed 2 dimensional contours is presented in this report. The introduced method reduces the dimensionality of the parameter space taking care of the nature of the shape curvature. The description parameters are evaluated using a fast optimization algorithm. Three different optimization methods were implemented, but only a Gauss-Newton method was fast enough for...

modification of the radiative fluxes in the atmosphere and at the Earth’s surface; release and consumption of latent heat related to phase changes of water either directly inside the clouds or in precipitation generated in them; transport of heat, moisture, momentum and atmospheric trace constituents over large distances in the vertical in convectively generated clouds; modification of the surf...

in this letter we have proposed a new regularization scheme to deal with the divergent integralsoccurring in the quantum mechanical problem of calculating the bound state energy of the delta-functionpotential in two and three dimensions. based on the schwinger parameterization technique we argue thatthere are no infinities even in d dimensions. in this way we were able to compare our proposal w...