Node.js, React
This is a simple React.js app that demonstrates the inversive geometry of a point in a circle. The app is built using React and Node.js.
It works by transforming the plane (image) accoring to the following rule:
Each point
$P$ is mapped to the point$P'$ on a ray$OP$ , such that$OP \cdot OP' = R^2$ , where$R$ is the radius of the inversion. Working with pixels makes the coordinates descrete and to improve the quality of the image, the root mean squared [1] of pixel values are taken.
Demo is available here. Upload an image and select the center and radius of inversion.
