Sep 26, 2019 · A fitting method generates control meshes to approximate any given geometry with Catmull-Clark subdivision surfaces. The performance of the ...

An isogeometric approach for solving the Laplace-Beltrami equation on a two-dimensional manifold embedded in three-dimensional space using a Galerkin method ...

Catmull–Clark subdivision is a generalization of bicubic B-spline subdivision, which eliminates the rigid restriction on the topology of the control mesh. It ...

Jul 15, 2020 · Catmull–Clark subdivision bases are used to discretise both the geometry and the physical field.

Sep 23, 2019 · Catmull-Clark subdivision bases are used to discretise both the geometry and the physical field. A fitting method generates control meshes to ...

Sep 27, 2019 · Zhaowei Liu, Andrew McBride, Prashant Saxena, Paul Steinmann: Aspects of Isogeometric Analysis with Catmull-Clark Subdivision Surfaces.

Apr 14, 2021 · When working with spline or subdivision ... Analyzing + Improving the Parametrization Quality of Catmull-Clark Solids for Isogeometric Analysis.

We investigate the isogeometric analysis approach based on the extended Catmull–Clark subdivision for solving the PDEs on surfaces. As a compatible technique of ...

Building the algorithm from a smooth surface scheme like Catmull-Clark subdivision and a smooth univariate scheme along an extraordinary edge does imply normal ...

Subdivision surfaces provide an elegant isogeometric analysis framework for geometric design and analysis of partial differential equations defined on ...