Three-Dimensional Shearlet Edge Analysis

Volumetric data acquisition and increasingly massive data storage have increased the need to develop better analysis tools for three-dimensional data sets. These volumetric data sets can provide information beyond that contained in standard two-dimensional images. Common strategies to deal with such data sets have been based on sequential use of two-dimensional analysis tools. In this work, we propose using an extension of the wavelet transform known as the shearlet transform for the purpose of edge analysis and detection in three-dimensions. This method takes advantage of the shearlet transform's improved capability to identify edges compared to wavelet-based approaches.