Moments Defined by Example Subdivision Curves

Authors: Jan Hakenberg

We list examples of 2-dimensional domains bounded by subdivision curves together with their exact area, centroid, and inertia. We assume homogeneous mass-distribution within the space bounded by the curve. The subdivision curves that we consider are generated by 1) the low order B-spline schemes, 2) the generalized, interpolatory C^1 four-point scheme, as well as 3) the more recent dual C^2 four-point scheme. The derivation of the (d + 2)-linear form that computes the area moment of degree p + q = d based on the initial control points for a given subdivision scheme is deferred to a publication in the near future.

Comments: 25 Pages.

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Submission history

[v1] 2014-07-03 12:14:35
[v2] 2014-07-23 12:52:51

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