Volume Data Approximation Using Wavelet Transforms.

Volume Data Approximation Using Wavelet Transforms.
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使用小波变换进行体积数据近似。

DOI:
10.3169/itej1978.46.1635
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发表时间:
1992
期刊:
The Journal of The Institute of Image Information and Television Engineers
影响因子:
--
通讯作者:
S. Muraki
S. Muraki
中科院分区:
--
文献类型:
--
作者:
S. Muraki

文献摘要

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提出了一种利用小波变换获得物体唯一形状描述的方法。通过应用三维小波变换,可以将物体的体数据分解成一组局部基元,进而得到物体的“多分辨率表示”。通过使用平滑消失的基函数,形状近似与一个相对较少的数量的基元,而不会导致表面上的不连续性。此外,利用小波的局部性和“多分辨率表示”,可以逐点改变逼近的分辨率。该方法被应用到真实的体数据,如面部范围数据和MR图像的人的头部,并解释了典型的结果。
A method is developed to obtain a unique shape description of an object by using wavelet transforms. Volume data of the object can be decomposed into a set of local primitives by applying 3D wavelet transforms, and further a “multiresolution expression” of the object can then be obtained. By using smoothly vanishing basis functions, the shape is approximated with a relatively small number of primitives without causing discontinuity on the surface. In addition, the resolution of the approximation can be varied point by point using the local property of the wavelets and “multiresolution expression”. The method is applied to real volume data, such as facial range data and MR images of a human head, and typical results are explained.