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A challenge in isogeometric analysis is constructing analysis-suitablevolumetric meshes which can accurately represent the geometry of a givenphysical domain. In this paper, we propose a method to derive a spline-basedrepresentation of a domain of interest from voxel-based data. We show anefficient way to obtain a boundary representation of the domain by a level-setfunction. Then, we use the geometric information from the boundary (the normalvectors and curvature) to construct a matching C1 representation withhierarchical cubic splines. The approximation is done by a single template andlinear transformations (scaling, translations and rotations) without the needfor solving an optimization problem. We illustrate our method with severalexamples in two and three dimensions, and show good performance on somestandard benchmark test problems.

Volumetric parametrization from a level set boundary representation with PHT Splines