Topology-preserving scan-based immersed isogeometric analysis

To exploit the advantageous properties of isogeometric analysis (IGA) in a scan-based setting, it is important to extract smooth geometric domain from scan data (e.g., voxel data). IGA-suitable domains can be constructed by convoluting grayscale using B-splines. A negative side-effect this convolution technique is, however, that induce topological changes process smoothing when features with size similar voxels are encountered. This manuscript presents an enhanced B-spline-based segmentation procedure refinement strategy based on truncated hierarchical (TH)B-splines. Fourier presented explain effectiveness local function repairing anomalies. moving-window-based anomaly detection algorithm proposed identify regions which refinements must performed. The criterion anomalies Euler characteristic, giving capability distinguish between and shape changes. topology-preserving THB-spline image studied range test cases. These tests pertain both itself, its application immersed IGA setting.