论文标题

快速3D图像瞬间

Fast 3D Image Moments

论文作者

Diggin, William, Diggin, Michael

论文摘要

披露了一种有效计算体积图像矩的算法。该方法通过显着降低计算复杂性来证明处理时间的减少。具体而言,该算法将乘法复杂性从O(n^3)降低到O(n)。生成了3D体积的几个2D投影图像。该算法从这些2D图像中计算一组2D矩。然后使用这些第二瞬间来得出3D体积矩。在MRI或CT中的使用示例以及相关分析证明了离散投影矩算法的好处。该方法对于使用该对象的一小部分2D断层图像计算3D对象的矩也很有用。

An algorithm to efficiently compute the moments of volumetric images is disclosed. The approach demonstrates a reduction in processing time by reducing the computational complexity significantly. Specifically, the algorithm reduces multiplicative complexity from O(n^3) to O(n). Several 2D projection images of the 3D volume are generated. The algorithm computes a set of 2D moments from those 2D images. Those 2D moments are then used to derive the 3D volumetric moments. Examples of use in MRI or CT and related analysis demonstrates the benefit of the Discrete Projection Moment Algorithm. The approach is also useful in computing the moments of a 3D object using a small set of 2D tomographic images of that object.

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