Progressive iterative approximation and bases with the fastest convergence rates

All normalized totally positive bases satisfy the progressive iterative approximation property. The normalized B-basis has optimal shape preserving properties and we prove that it satisfies the progressive iterative approximation property with the fastest convergence rates. A similar result for tensor product surfaces is also derived. © 2006 Elsevier B.V. All rights reserved.

• Type: Journal
• Year: 2007
• Where: CAGD
• Authors: Jorge Delgado, Juan Manuel Peña
• Keywords: CAGD 2007, Iterative Approximation Property, Normalized B-basis, Progressive Iterative Approximation