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New Developments in the Visualization and Processing of Tensor Fields

Part of the series Mathematics and Visualization pp 171-185

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A Comparative Analysis of Dimension Reduction Techniques for Representing DTI Fibers as 2D/3D Points

  • Xiaoyong YangAffiliated withDepartment of Computer Science and Engineering, Mississippi State University Email author 
  • , Ruiyi WuAffiliated withDepartment of Computer Science and Engineering, Mississippi State University
  • , Ziáng DingAffiliated withState Key Laboratory of CAD & CG, Zhejiang University
  • , Wei ChenAffiliated withState Key Laboratory of CAD & CG, Zhejiang University
  • , Song ZhangAffiliated withDepartment of Computer Science and Engineering, Mississippi State University

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Abstract

Dimension Reduction is the process of transfering high-dimensional data into lower dimensions while maintaining the original intrinsic structures. This technique of finding low-dimensional embedding from high-dimensional data is important for visualizing dense 3D DTI fibers because it is hard to visualize and analyze the fiber tracts with high geometric, spatial, and anatomical complexity. Color-mapping, selection, and abstraction are widely used in DTI fiber visualization to depict the properties of fiber models. Nonetheless, visual clutters and occlusion in 3D space make it hard to grasp even a few thousand fibers. In addition, real time interaction (exploring and navigating) on such complex 3D models consumes large amount of CPU/GPU power. Converting DTI fiber to 2D or 3D points with dimension reduction techniques provides a complimentary visualization for these fibers. This chapter analyzes and compares dimension reduction methods for DTI fiber models. An interaction interface augments the 3D visualization with a 2D representation that contains a low-dimensional embedding of the DTI fibers. To achieve real-time interaction, the framework is implemented with GPU programming.