TY - GEN
T1 - Models for biomedical image reconstruction based on integral approximation methods
AU - Byrne, Charles
AU - Gordon, Dan
AU - Heilper, Daniel
PY - 2012
Y1 - 2012
N2 - The most common image representation method for biomedical image reconstruction uses pixels, and the image is assumed to be constant throughout the pixel. Other methods have also been used. In many reconstruction problems, the measured data is approximated by line integrals through the object. This fact suggests a new class of model representation methods based on classical Newton-Cotes methods of integral approximations. These methods use Lagrange polynomials of one variable, and they can be extended to higher dimensions by blending. In 2D, these methods lead to the pixel model, bilinear interpolation, and higher order models. The bilinear interpolation model has been implemented and shown to be superior to the pixel model.
AB - The most common image representation method for biomedical image reconstruction uses pixels, and the image is assumed to be constant throughout the pixel. Other methods have also been used. In many reconstruction problems, the measured data is approximated by line integrals through the object. This fact suggests a new class of model representation methods based on classical Newton-Cotes methods of integral approximations. These methods use Lagrange polynomials of one variable, and they can be extended to higher dimensions by blending. In 2D, these methods lead to the pixel model, bilinear interpolation, and higher order models. The bilinear interpolation model has been implemented and shown to be superior to the pixel model.
KW - Basis functions
KW - biomedical image reconstruction
KW - integral approximation
UR - http://www.scopus.com/inward/record.url?scp=84864849397&partnerID=8YFLogxK
U2 - 10.1109/ISBI.2012.6235486
DO - 10.1109/ISBI.2012.6235486
M3 - Conference contribution
AN - SCOPUS:84864849397
SN - 9781457718588
T3 - Proceedings - International Symposium on Biomedical Imaging
SP - 70
EP - 73
BT - 2012 9th IEEE International Symposium on Biomedical Imaging
T2 - 2012 9th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2012
Y2 - 2 May 2012 through 5 May 2012
ER -