Christine Allen-Blanchette

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In this paper, we explore the exponential map and its inverse, the logarithm map, for the group SIM(n) of similarity transformations in &#x211D;<sup>n</sup> which are the composition of a rotation, a translation and a uniform scaling. We give a formula for the exponential map and we prove that it is surjective. We give an explicit formula for the case of n(More)
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