Infinite Boundary Elements Usage in Optical Mammography

Maciej Pałczyka, Jan Sikorab

aInstitute of Computer Science, Lublin University of Technology, ul. Nadbystrzycka 36B, 20-618 Lublin, Poland

bInstitute of Electronics and Information Technology, Lublin University of Technology,ul. Nadbystrzycka 38A, 20-618 Lublin, Poland

Abstract

One of the advantages of the Boundary Element Method is its ability to handle open boundary problems. A good example is its application for early detection or screening examination of breast cancer using Optical Tomography. Using infinite boundary elements to create an open boundary breast model results in the significant reduction of the mesh size and allows us to avoid problems with unknown boundary conditions. In consequence, hardware requirements are much lower and the results are received faster without accuracy losses. The implementation of two main lines of infinite boundary elements will be discussed on the example of a typical hemispherical breast model.

Keywords: BEM; Infinite Elements; Optical Tomography