Adv. Res. and Appl. Corp, Sunnyvale, CA.
IEEE Trans Image Process. 1996;5(1):121-31. doi: 10.1109/83.481676.
A novel volumetric image reconstruction algorithm known as VOIR is presented for inversion of the 3-D Radon transform or its radial derivative. The algorithm is a direct implementation of the projection slice theorem for plane integrals. It generalizes one of the most successful methods in 2-D Fourier image reconstruction involving concentric-square rasters to 3-D; in VOIR, the spectral data, which is calculated by fast Fourier techniques, lie on concentric cubes and are interpolated by a bilinear method on the sides of these concentric cubes. The algorithm has great computational advantages over filtered-backprojection algorithms; for images of side dimension N, the numerical complexity of VOIR is O(N(3) log N) instead of O(N (4)) for backprojection techniques. An evaluation of the image processing performance is reported by comparison of reconstructed images from simulated cone-beam scans of a contrast and resolution test object. The image processing performance is also characterized by an analysis of the edge response from the reconstructed images.
提出了一种新的体积图像重建算法，称为 VOIR，用于反演三维 Radon 变换或其径向导数。该算法是平面积分投影切片定理的直接实现。它将二维傅里叶图像重建中最成功的方法之一（涉及同心正方形光栅）推广到三维；在 VOIR 中，通过快速傅里叶技术计算的光谱数据位于同心立方体上，并通过这些同心立方体侧面的双线性方法进行插值。与滤波反投影算法相比，该算法具有很大的计算优势；对于边长为 N 的图像，VOIR 的数值复杂度为 O(N(3)logN)，而不是反投影技术的 O(N(4))。通过比较对比度和分辨率测试物体的模拟锥束扫描的重建图像，报告了图像处理性能的评估。还通过分析重建图像的边缘响应来表征图像处理性能。
