Title :
A numerical algorithm for the diffusion equation using 3D FEM and the Arnoldi method [human tissue cells detection]
Author :
Su, Qing ; Syrmos, Vassilis L. ; Yun, David Y Y
Author_Institution :
Dept. of Electr. Eng., Hawaii Univ., Honolulu, HI, USA
Abstract :
We introduce a computational method for solving the photon diffusion equation in an unusual human cells detection problem. In particular, we construct a “generalized” state-space system and compute the impulse response of an equivalent truncated state-space system. We use a 3D finite element method (FEM) to obtain the state space system. Secondly, we use the Arnoldi iteration to approximate the state impulse response by projecting on the dominant controllable subspace. The idea exploited here is the approximation of the impulse response of the linear system. The homogeneous and heterogeneous cases are studied and the approximation error is discussed. Finally, we compare our computational results to our experimental set up
Keywords :
Galerkin method; approximation theory; biological tissues; finite element analysis; laser applications in medicine; light scattering; patient diagnosis; reduced order systems; state-space methods; 3D FEM; 3D finite element method; Arnoldi iteration; Arnoldi method; diffusion equation; generalized state-space system; impulse response; linear system; photon diffusion equation; unusual human cells detection; Equations; Humans; Laser beams; Light scattering; Optical propagation; Optical scattering; Particle scattering; X-ray detection; X-ray detectors; X-ray scattering;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786355