Biomedical Engineering Reference
In-Depth Information
accurate registration. In this paper, we showed that corotated FE with quadratic
shape functions can be used as a robust and efficient model for real-time soft-tissue
registration. The quadratic formulation is numerically much more efficient than the
method based on linear elements. It also achieves comparable registration accuracy
to complex, fully non-linear models.
Future work focuses on a GPU implementation of the model in order to enhance
the model sizes that can be simulated in real-time. As the polar decomposition can
be computed independently for each integration point, this part of the method is
exceptionally well suited for massively parallel hardware architectures. The major
challenge lies in the design of a suitable linear solver. Although iterative algorithms
like the conjugate gradient method can be efficiently implemented on the GPU, they
rely on pre-conditioners in order to perform well. That's why we are currently
investigating different pre-conditioners that might be suitable for that purpose.
Also, we are working on an extended finite element method (X-FEM) that allows
propagating the surface displacements to arbitrary surface points on mesh instead of
applying them only at the element nodes.
Acknowledgments The present research was conducted within the setting of the research
training group 1,126: Intelligent Surgery—Development of new computer-based methods for
the future workplace in surgery founded by the German Research Foundation and furthermore
sponsored by the European Social Fund of the State Baden—W
€
urttemberg.
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