homothetic transformation


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homothetic transformation

[¦häm·ə‚thed·ik ‚tranz·fər′mā·shən]
(mathematics)
A transformation that leaves the origin of coordinates fixed and multiplies the distance between any two points by the same fixed constant. Also known as transformation of similitude.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
For the second LSF approach, SQ indicator values were transformed to a common range between 0.1 and 1.0 using homothetic transformation equations (1) and (2) [38].
This LSF approach is therefore described as the "homothetic transformation method" (IIL).
An unscreened-SQI using the PCA and EO selected minimum datasets showed the highest SQI values for the [II.sup.L] (homothetic transformation method) and [I.sup.N] (CurveExpert method of NLSF) models used to compare the eight LUSMS (Tables 5 and 6).
In this part, we define an equality relation between curves with reference to homothetic transformations. This means that there is an isometric equality after applying homothety to one of the two curves.
So in general other foliums can be obtained from Figure 1 by homothetic transformations.