Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Isotropic Energies, Filters and Splines for Vector Field Regularization
Journal of Mathematical Imaging and Vision
Vector-valued image regularization with PDE's: a common framework for different applications
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Directional processing of color images: theory and experimental results
IEEE Transactions on Image Processing
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Denoising and interpolation of primary vector fields in DT-MRI are essential for tracking myocardial fibers of the human heart. In this paper, a noise-reduced interpolation method for 3-D primary vector fields in human cardiac DT-MRI is proposed. The method consists of first localizing the noise-corrupted vectors using local statistical properties of the vector fields, then restoring the noise-corrupted vectors by means of Thin Plate Spline (TPS) interpolation method, and finally applying a global TPS interpolation to gain higher resolution in the spatial domain. Experiments and results show that the proposed method allows us to obtain higher resolution and reduce noise, while improving direction-coherence (DC ) of vector fields, preserving details, and improving fiber tracking.