Definition:Conformal Transformation
(Redirected from Definition:Angle-Preserving Transformation)
Jump to navigation
Jump to search
Definition
Let $T$ be a transformation of the plane.
Let $T$ have the property that:
- for all pairs of curves $\CC_1$ and $\CC_2$ which intersect at angle $\theta$, the images of $\CC_1$ and $\CC_2$ under $T$ also intersect at angle $\theta$.
Then $T$ is defined as being a conformal transformation.
Also known as
A conformal transformation is also known as:
- a conformal mapping
- an equiangular transformation
- an angle-preserving transformation
- an isogonal transformation.
Also see
- Results about conformal transformations can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): conformal transformation
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): conformal transformation