Jet subdivision schemes are a natural generalization of the commonly used subdivision schemes for free-form surface modeling.
The influence of the geometry description and the used subdivision scheme on the obtained optimised curved geometries is investigated in detail.
Figure 6 illustrates how a solution is obtained for a tree with three processes, first with a continuous map, which has to then be approximated by using subdivisions (right-hand side).
In 18 healthy females and 36 females in a depressive episode - 18 with bipolar disorder type I, 18 with recurrent unipolar depression - we applied pattern recognition analysis using subdivisions of anterior cingulate cortex (ACC) blood flow at rest, measured with arterial spin labelling.
Many of the traditional shapes used in geometric design can be defined using subdivision.
Surprisingly, this can be done using subdivision rules that involve direct neighbors only.
Using subdivision, a curve is defined as the limit of an increasingly faceted sequence of polygons.
More generally, developing methods for approximating existing geometry using subdivision remains a high priority.
A major drawback in using subdivision solvers is their lack of scalability.
We introduce the isogeometric shape optimisation of thin shell structures using subdivision surfaces.
