Name
Title | ||
|---|---|---|
Estimation of non-negative ODFs using the eigenvalue distribution of spherical functions. |
Abstract | ||
|---|---|---|
Current methods in high angular resolution diffusion imaging (HARDI) estimate the probability density function of water diffusion as a continuous-valued orientation distribution function (ODF) on the sphere. However, such methods could produce an ODF with negative values, because they enforce non-negativity only at finitely many directions. In this paper, we propose to enforce non-negativity on the continuous domain by enforcing the positive semi-definiteness of Toeplitz-like matrices constructed from the spherical harmonic representation of the ODF. We study the distribution of the eigenvalues of these matrices and use it to derive an iterative semi-definite program that enforces non-negativity on the continuous domain. We illustrate the performance of our method and compare it to the state-of-the-art with experiments on synthetic and real data. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/978-3-642-33418-4_40 | MICCAI (2) |
Keywords | Field | DocType |
positive semi-definiteness,iterative semi-definite program,high angular resolution diffusion,probability density function,continuous domain,current method,eigenvalue distribution,negative value,non-negative odfs,continuous-valued orientation distribution function,water diffusion,spherical function,spherical harmonics | Eigenvalue distribution,Mathematical analysis,Matrix (mathematics),Spherical harmonics,Angular resolution,Distribution function,Probability density function,Eigenvalues and eigenvectors,Mathematics | Conference |
Volume | Issue | ISSN |
15 | Pt 2 | 0302-9743 |
Citations | PageRank | References |
5 | 0.47 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Evan Schwab | 1 | 13 | 2.70 |
| Bijan Afsari | 2 | 137 | 10.27 |
| rene victor valqui vidal | 3 | 5331 | 260.14 |