Estimating the location of a tracked tool’s tip relative to its Dynamic Reference Frame (DRF) and localizing a specific point in a tracking system’s coordinate frame are fundamental tasks in image-guided procedures. The most common approach to estimating these values is by pivoting a tool around a fixed point. The transformations from the tracking system’s frame to the tool’s DRF are the input....

In this paper, dynamic and stability analysis of a flexible cam-follower system is investigated. Equation of motion is derived considering flexibility of the follower and camshaft. Viscous and Coulomb frictions are considered in the rocker arm pivot. The normalized equation of motion of the system is a 2nd- order differential equation with periodic coefficients. Floquet theory is employed to s...

In this paper, we present a block version of incomplete LU preconditioner which is computed as the by-product of block A-biconjugation process. The pivot entries of this block preconditioner are one by one or two by two blocks. The L and U factors of this block preconditioner are computed separately. The block pivot selection of this preconditioner is inherited from one of the block versions of...

In randomisation and permutation inference, pivotal arguments remove the hypothesised treatment effect, thereby basing inferences on the null distribution in which the treatment has no effect. This is common, for instance, with additive treatment effects. The current paper uses ‘attributable effects’ to expand substantially the scope of pivotal arguments. Attributable effects are defined for th...

The study purpose was to investigate the effects of target distance on pivot hip, trunk, pelvis, and kicking leg movements in Taekwondo roundhouse kick. Twelve male black-belt holders executed roundhouse kicks for three target distances (Normal, Short, and Long). Linear displacements of the pivot hip and orientation angles of the pelvis, trunk, right thigh, and right shank were obtained through...

Data analysts would benefit greatly from the ability to navigate and view combined multidimensional data from multiple sources, a key requirement of which is the conformity between their dimensions. The strict requirements of conformity restrict navigating to related multidimensional data from unseen or unfamiliar sources. In this paper we make a distinction between conformed dimension tables a...

This work presents an improvement on the simple algorithms of matrix inversion (Farooq & Hamid, 2010). This generalized algorithm supports selection of pivot randomly in the matrix thus supporting partial and full pivoting. The freedom in pivot selection can be used in minimizing the numerical error and prioritizing the variable to find the solution first. The algorithm is more suitable for fin...

The argument PSTRAT defines the pivoting strategy to be used. The options currently available are no pivoting, user-defined pivoting, partial pivoting by columns for stability, and complete pivoting by rows for sparsity and by columns for stability. The factorization may optionally be modified to preserve the rowsums of the original matrix. The sparse matrix A is represented in coordinate stora...