The Reconstruction Algorithm of Boundary Surfaces Based on the 3D Fractional Differential Enhancement

An improved reconstruction algorithm of the boundary surfaces within 3Dimages was proposed based on the fractional differential,which can reconstruct more detailed structures of the 3Dirregular biomedical objectives.Thus,the deficiency of reconstruction more detailed information in the was proposed based on the fractional differential,which can reconstruct more detailed structures of the 3D irregular biomedical objectives.Thus,the deficiency of reconstruction more detailed information in the traditional algorithm was overcome.According to the separateness of the Fourier Transformation of the fractional differential,the 2Dcalculus was extended to 3D,and the 3Ddiscrete templates were deduced.Due to the nonlinear enhancement,the 3Dfractional differential can enhancement the 3Dslice data significantly.By comparison with the traditional reconstruction method of the 3Dboundary surfaces,the improved algorithm could detect and extract more detailed 3Dstructure information by using the 3D fractional differential.The proposed algorithm was applied in the reconstruction of the 3Dirregular structure of the neuron within confocal microscopy images,which demonstrated the high efficiency and property,it can be easily extended to other research fields of 3Dvisualization.