Non-linear subdivision using local spherical coordinates
In this paper, we present an original non-linear subdivision scheme suitable for univariate data, plane curves and discrete triangulated surfaces, while keeping the complexity acceptable. The proposed technique is compared to linear subdivision methods having an identical support. Numerical criteria are proposed to verify basic properties, such as convergence of the scheme and the regularity of the limit function. (C) 2003 Elsevier Science B.V. All rights reserved.
non-linear subdivision univariate data discrete surface