Splatting Algorithm Apply to Algebraic Arithmetic of Three Dimensional Computer Tomography

This thesis uses ART(algebraic reconstruction technique) to reconstruct 3-D objects,Based on Splatting theory it presents a method of calculating ART weighting coefficients to enhance spatial resolution.This algorithm is based on the 3-D cone-beam scanning,using cubic B spline local basis function as interpolate kernel,and utilizing footprint function of filter kernel to interpolate the volume to calculate the weighting coefficients.Compared with the constant-size interpolation,the algebraic can gain more accurate object gray values.In the same experiment condition it can reconstruct high-resolution object.In the thesis,it gives the practical realization of splatting algebraic adapting to 3-D cone-beam reconstruction,and uses the experiment data to reconstruct the real object and analyze the error.