CAJ | 학술논문

针对三维分数阶积分去噪后，三维数据对比度较低的缺点，提出一种基于三维分数阶微积分去噪增强的重构算法，综合运用三维分数阶微分和三维分数阶积分。用三维分数阶积分去噪，利用三维分数阶微分增强对比度较低的三维数据，重构出更多的细节纹理信息。实验结果表明，该算法在去除噪声的同时可很好地保持细节纹理信息，去噪增强效果显著，应用性强，可高效重构高精度的三维图像边缘曲面。
침대삼유분수계적분거조후，삼유수거대비도교저적결점，제출일충기우삼유분수계미적분거조증강적중구산법，종합운용삼유분수계미분화삼유분수계적분。용삼유분수계적분거조，이용삼유분수계미분증강대비도교저적삼유수거，중구출경다적세절문리신식。실험결과표명，해산법재거제조성적동시가흔호지보지세절문리신식，거조증강효과현저，응용성강，가고효중구고정도적삼유도상변연곡면。
A denoised enhancement extraction algorithm of 3D boundary surface based on the 3D fractional differential and inte‐gral was described .Firstly ,the 3D fractional differential was applied to denoise the 3D boundary surfaces ,and then the 3D frac‐tional differential was used to enhance the 3D boundary surfaces .Finally ,the 3D boundary surfaces were detected by using Laplacian operator and tracking method .The proposed algorithm overcame the low contrast problem of the denoised images by using the traditional denoised methods ,and the 3D boundary surfaces of high accuracy (sub‐voxel) were obtained .Results of ex‐periments on biomedical images show that the proposed method is successful in automatic extraction of boundary surfaces of 3D images ,as well as in denoising and enhancement .