Abstract
We present a new method for defining and meshing patient-specific domains from medical images. Our approach is based on an atlas image segmentation technique, and relies on the modular registration algorithm of S. Bertoluzza et al. [25]. The mesh of the patient-specific domain is generated by deforming the corresponding mesh on an a priori segmented and meshed reference image (the atlas). Our method aims at automating the process at the interface of medical imaging and numerical simulation, thus reducing the computational cost in those situations where simulations have to be managed on numerous medical images of similar patients.
Highlights
The mathematical modeling and numerical simulation of biophysical phaenomena relying on patient-specific data is nowadays recognized as an important tool in the diagnosis of diseases and design of personalized treatment, and the demand for increasingly efficient algorithms for carrying out such tasks is attracting the interest of an ever increasing number of researchers
Efficient algorithms for defining and meshing the domain. Motivated by this practical requirement, our study aims at defining a method that simultaneously provides the geometry description and a mesh of good quality for the patient-specific domain, to be used for the simulation of a biophysical phenomenon
Denoting by Im the space of monochromatic images (Definition 1.1), which we identify with a subset of L2(Ω), let R : Ω → [0, 1], T : Ω → [0, 1] be two images in Im
Summary
The mathematical modeling and numerical simulation of biophysical phaenomena relying on patient-specific data is nowadays recognized as an important tool in the diagnosis of diseases and design of personalized treatment, and the demand for increasingly efficient algorithms for carrying out such tasks is attracting the interest of an ever increasing number of researchers. In this framework, whatever the application considered, one of the first key steps is to retrieve, often from a medical image, the geometrical description of the domain corresponding to the organ of interest on which the simulation will be run (called patient-specific domain), and to build the corresponding mesh.
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