Rotation of 3D volumes by Fourier-interpolated shears
Rotation of 3D volumes by Fourier-interpolated shears
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DOI：
10.1016/j.gmod.2005.11.004
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发表时间：
2006-07-01
期刊：
影响因子：
1.7
通讯作者：
Young, Terence K.
中科院分区：
文献类型：
--
作者：
Welling, Joel S.;Eddy, William F.;Young, Terence K.
通过多个剪切变换来旋转2D图像的算法是众所周知的；还描述了使用少至四个剪切来在3D体积上执行任意3D旋转的算法。通过使用傅里叶变换方法来实现这些剪切，可以完全可逆地执行旋转，而不会丢失信息。当旋转后的数据被用作统计计算的输入时，例如在人脑成像中，这是非常有用的。通常，可以使用四个剪切的六种不同模式来实现给定的3D旋转。我们研究了这些旋转算法的数学和实现细节。本文给出了这些模式的分类，论证了必须使用一致的方案来选择不同旋转的剪切模式，并给出了几种这样的一致方案。(C)2005 Elsevier Inc.保留所有权利。
Algorithms for rotation of 2D images by multiple shearing transformations are well known; algorithms which use as few as four shears to perform an arbitrary 3D rotation on a 3D volume have also been described. By using Fourier transform methods to implement these shears, rotations can be performed completely reversibly and without loss of information. This is of great utility when the rotated data are used as input to statistical calculations, for example in human brain imaging. In general, six different patterns of four shears can be used to implement a given 3D rotation. We examine the mathematical and implementation details of these rotation algorithms. This paper provides a classification of these patterns, demonstrates that a consistent scheme must be used to select shear patterns for various rotations, and presents several such consistent schemes. (C) 2005 Elsevier Inc. All rights reserved.