, therefore yielding no translation offset. This assumption is not realistic, since in practice, the precise location of the optical center is often unknown, and the rotation is often performed about an unknown but fixed point near the optical center. The conventional methods tend to ignore the offset

translational offset is the difference between the centroid of the coordinates in one system and the rotated and scaled centroid of the coordinates in the other system. The best scale is equal to the ratio of the root-mean-square deviations of the coordinates in the two systems from their respective centroids

to be scaled by any suitable amount and its offset adjusted appropriately. Two subsequences are considered similar if one can be enclosed within an envelope of a specified width drawn around the other. The model also allows non-matching gaps in the matching subsequences. The matching subsequences need

. This trans-lates to age differences of 36 + 7 and 41 _+ 5 years (yrs) with the southern hemisphere giving the older dates. More recently, Stuiver and Braziunas [1998] have shown that an offset of 23 + 4 yrs exists between combined 19th century wood measure-ments from Tasmania and Chile in the southern

In this paper we address several variants of the polygon annulus placement problem: given an input polygon P and a set S of points, find an optimal placement of P that maximizes the number of points in S that fall in a certain annulus region defined by P and some offset distance ffi ? 0. We

the distance between any two vertices in the same label-set is at least t. We consider interleaving schemes on infinite circulant graphs with two offsets 1 and d. In such graph the vertices are integers; edge ij exists if and only if |i − j | ∈ {1, d}. Our goal is to minimize the number of labels used. Our

characterize the situation that N can move in a purely translational manner such that it always touches M , the interiors of M and N are distinct, and such that the envelope of N during this two-parameter motion is precisely M? In [6] and [8] the problem is studied in the context of three-axis milling

A method is presented for the modeling and animation of generalized cylinders with variable radius offset space curves. The boundary surface of a generalized cylinder is constructed: either as a translational sweep of cross-sectional curves along the skeleton curve, or as a rotational sweep

Model (DEM), and as a result estimating intra-strip errors. It is based on calculating local linear deformations with a tri-dimensionnal accumulator (translation space). We show that searching for local discrepancy is equivalent to compute the maximum of the accumulator. 2D and 3D simulated problems

University with Mike Ryan and Bill Romme for most of this project. Provided additional expertise on forest carbon cycles and was Nelson's immediate supervisor. Michael G. Ryan – Conceived and directed project, designed the analysis, identified and approved equations for translating tree dimensions