similarity transformation
- similarity transformation
-
1. Also called
homothetic transformation. a mapping of a set by which each element in the set is mapped into a positive constant multiple of itself, the same constant being used for all elements.
2. an operation performed upon a square matrix that leaves invariant its characteristic polynomial, trace, and determinant. The transformation is obtained by multiplying the given matrix on one side by any nonsingular matrix and on the other by the inverse of that nonsingular matrix.
* * *
Universalium.
2010.
Look at other dictionaries:
similarity transformation — Math. 1. Also called homothetic transformation. a mapping of a set by which each element in the set is mapped into a positive constant multiple of itself, the same constant being used for all elements. 2. an operation performed upon a square… … Useful english dictionary
Similarity (geometry) — Geometry = Two geometrical objects are called similar if one is congruent to the result of a uniform scaling (enlarging or shrinking) of the other. One can be obtained from the other by uniformly stretching , possibly with additional rotation,… … Wikipedia
Similarity (psychology) — Cognitive Psychological Approaches to Similarity Similarity refers to the psychological nearness or proximity of two mental representations. Research in cognitive psychology has taken a number of approaches to the concept of similarity. Each of… … Wikipedia
Affine transformation — In geometry, an affine transformation or affine map or an affinity (from the Latin, affinis , connected with ) between two vector spaces (strictly speaking, two affine spaces) consists of a linear transformation followed by a translation::x… … Wikipedia
Homothetic transformation — In mathematics, a homothety (or homothecy or dilation) is a transformation of space which takes each line into a parallel line (in essence, a similarity that is similarly arranged). All dilatations form a group in either affine or Euclidean… … Wikipedia
homothetic transformation — Math. See similarity transformation (def. 1). * * * … Universalium
homothetic transformation — Math. See similarity transformation (def. 1) … Useful english dictionary
Direct linear transformation — (DLT) is an algorithm which solves a set of variables from a set of similarity relations: for where and are known vectors, denotes equality up to an unknown scalar multiplication, and … Wikipedia
Householder transformation — In mathematics, a Householder transformation in 3 dimensional space is the reflection of a vector in a plane. In general Euclidean space it is a linear transformation that describes a reflection in a hyperplane (containing the origin).The… … Wikipedia
Helmert transformation — The Helmert transformation (named after Friedrich Robert Helmert, 1843 ndash;1917; also called a seven parameter transformation) is a transformation method within a three dimensional space. It is frequently used in geodesy to produce distortion… … Wikipedia
