2 papers
math.DG2011
Pixelations of planar semialgebraic sets and shape recognition
Liviu I. Nicolaescu, Brandon Rowekamp
We describe an algorithm that associates to each positive real number and each finite collection of planar pixels of size a planar piecewise linear set with the…
math.DG2011
Planar Pixelations and Image Recognition
Brandon Rowekamp
Any subset of the plane can be approximated by a set of square pixels. This transition from a shape to its pixelation is rather brutal since it destroys geometric and topological i…