Homomorphic Filtering of DT-MRI Fields
- Topics:
- Healthcare Products,
- Healthcare Services
- Source:
- Springer Science+Business Media
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Overview: DT-MRI fields measure the self-diffusion of water in biological tissue and, hence, tensors from these fields must be symmetric positive definite (PSD). However, due to a number of reasons this is not true for real data. Furthermore, it would be desirable to maintain that condition when tensor data are filtered. In this paper, we propose a homomorphic processing cascade that guarantees PSD tensor output. Homomorphic systems satisfy a generalized principle of superposition, and they can be decomposed as a cascade of three homomorphic subsystems. This idea can be used to assure PSD tensors at the output of the processing system by using a homomorphic chain with an output subsystem enforcing such a condition.
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Format: PDF | Size: 216KB | Date: Nov 2003 | Pages: 2
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