Generalized preimage of conics
Résumé
This paper focuses on the preimage of conics in dimension n. We use a parameter space to determine the Euclidean straight lines which cross the given pixel set. Those lines are gathered in the generalized preimage of the pixel set. To adapt this method to the Pythagorean model, based on the Euclidean distance d2, we propose the preimage for circles, spheres and n-spheres. We provide a mupad algorithm to reconstruct 2D discrete segments using the Pythagorean model. We complete this with the preimage of axis-aligned ellipsoids and elliptical hyperboloids.