Geometric transformation

A geometric transformation is any bijection of a set having some geometric structure to itself or another such set. Specifically, 'A geometric transformation is a function whose domain and range are sets of points. Most often the domain and range of a geometric transformation are both R2 or both R3. Often geometric transformations are required to be 1-1 functions, so that they have inverses.' The study of geometry may be approached via the study of these transformations.original imageisometrysimilarityaffine transformationprojective transformationinversionConformal transformationEquiareal transformationDiffeomorphismHomeomorphism A geometric transformation is any bijection of a set having some geometric structure to itself or another such set. Specifically, 'A geometric transformation is a function whose domain and range are sets of points. Most often the domain and range of a geometric transformation are both R2 or both R3. Often geometric transformations are required to be 1-1 functions, so that they have inverses.' The study of geometry may be approached via the study of these transformations.