Non-linear subdivision using local spherical coordinates

Authors:
Nicolas Aspert;Touradj Ebrahimi;Pierre Vandergheynst
Affiliations:
Signal Processing Institute, Swiss Federal Institute of Technology (EPFL), 1015 Lausanne, Switzerland;Signal Processing Institute, Swiss Federal Institute of Technology (EPFL), 1015 Lausanne, Switzerland;Signal Processing Institute, Swiss Federal Institute of Technology (EPFL), 1015 Lausanne, Switzerland
Venue:
Computer Aided Geometric Design
Year:
2003

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Abstract

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.