Topology-preserving Scan-based Immersed Isogeometric Analysis

06/23/2021
by   S. C. Divi, et al.
0

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

READ FULL TEXT

page 6

page 11

page 14

page 17

page 20

page 21

page 31

page 32

research
02/17/2022

Residual-based error estimation and adaptivity for stabilized immersed isogeometric analysis using truncated hierarchical B-splines

We propose an adaptive mesh refinement strategy for immersed isogeometri...
research
08/31/2022

Scan-based immersed isogeometric flow analysis

This chapter reviews the work conducted by our team on scan-based immers...
research
11/24/2012

Analysis-suitable T-splines: characterization, refineability, and approximation

We establish several fundamental properties of analysis-suitable T-splin...
research
06/08/2023

A shape derivative approach to domain simplification

The objective of this study is to address the difficulty of simplifying ...
research
04/23/2023

TopoSZ: Preserving Topology in Error-Bounded Lossy Compression

Existing error-bounded lossy compression techniques control the pointwis...
research
05/12/2022

Image Segmentation with Topological Priors

Solving segmentation tasks with topological priors proved to make fewer ...
research
08/16/2018

How did the shape of your network change? (On detecting anomalies in static and dynamic networks via change of non-local curvatures)

Notions of local and non-local curvatures of higher-dimensional geometri...

Please sign up or login with your details

Forgot password? Click here to reset