Amplification Matrix Iteration Algorithm to Generate: The Hilbert-Peano Curve

The methods to construct the Hilbert-Peano curve are recursive and non-recursive, methods of L-grammar system, different methods have different characteristics. In this document, from the prospective of non-recursive to analyze the characteristics of Hilbert-Peano curve, adopt the amplification curve characteristic matrix iteration algorithm constructs the Hilbert-Peano curve, compares the algorithm with the non-recursive algorithm in time-space-consuming. Prove that this algorithm has more advantages on large scale than L - system of non-recursive algorithm.