Computer Aided Geometric Design

In this paper we study the connection between the spectral condition of an Hermite subdivision operator and polynomial reproduction properties of the associated subdivision scheme. While it is known that in general the spectral ...

• Certain spectral and polynomial reproduction properties of Hermite schemes are equivalent.

We show an efficient approach to computing a μ-basis for a rational canal surface defined by two rational generating curves. By simple geometry we can directly write down three moving planes whose intersection contains the canal ...

• By simple geometry we can directly write down three moving planes whose intersection contains the canal surface.

In the vicinity of extraordinary vertices, the action of a primal, symmetric subdivision scheme for the construction of arbitrary topology surfaces can be represented by structured matrices that form a hybrid matrix algebra related to ...

• We aim at tuning the extraordinary rules of primal symmetric subdivision schemes.

This article continues the investigation started in Lipovetsky and Dyn (2016) on subdivision schemes refining 2D point-normal pairs, obtained by modifying linear subdivision schemes using the circle average. While in Lipovetsky and Dyn ...

• Further investigations of subdivision schemes refining point-normal pairs based on the circle average.

Multi-patch spline parametrizations are used in geometric design and isogeometric analysis to represent complex domains. Typically, quadrilateral patches are adopted in both frameworks. We consider the particular class of multi-patch ...

• We define a C1-smooth isogeometric subspace over multi-patch domains.
• The ...