6533b823fe1ef96bd127f458

RESEARCH PRODUCT

Some topological properties of the Inverse Lens Mapping

Evencio MediavillaJ. A. MuñozT. MediavillaA. OscozO. Ariza

subject

HistoryPlane (geometry)Mathematical analysisLinearityInverseGeometryImage planeTopologyComputer Science ApplicationsEducationlaw.inventionLens (optics)Transformation (function)Invertible matrixlawComputer Science::DatabasesTopological quantum numberMathematics

description

Away from critical curves, lens mapping can be seen as a linear invertible transformation of the plane even for regions (cells) of relatively large size. However, close to critical curves the departures from linearity can be very strong. We discuss the topological problems induced by the mapping of regions of the image plane that include critical curves (critical cells).

https://doi.org/10.1088/1742-6596/314/1/012122