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单词 Similarity Transformation
释义

Similarity Transformation

An Angle-preserving transformation. A similarity transformation has a transformation Matrix of theform


If is an Antisymmetric Matrix () and is an Orthogonal Matrix, then
 
  

Similarity transformations and the concept of Self-Similarity are important foundations ofFractals and Iterated Function Systems.

See also Conformal Transformation


References

Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 83-103, 1991.


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