Name
Title | ||
|---|---|---|
Classification of complex Wishart matrices with a diffusion-reaction system guided by stochastic distances. |
Abstract | ||
|---|---|---|
We propose a new method for polarimetric synthetic aperture radar (PolSAR) imagery classification based on stochastic distances in the space of random matrices obeying complex Wishart distributions. Given a collection of prototypes {Zm}(m=1)(M) and a stochastic distance d(.,.), we classify any random matrix X using two criteria in an iterative set-up. First, we associate X with the class which minimizes the weighted stochastic distance w(m)d(X, Z(m)), where the positive weights wm are computed to maximize the class discrimination power. Second, we improve the result by embedding the classification problem into a diffusion-reaction partial differential system where the diffusion term smooths the patches within the image, and the reaction term tends to move the pixel values towards the closest class prototype. In particular, the method inherits the benefits of speckle reduction by diffusion-like methods. Results on synthetic and real PolSAR data show the performance of the method. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1098/rsta.2015.0118 | PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES |
Keywords | Field | DocType |
PolSAR images,classification,diffusion-reaction system | Data mining,Embedding,Reaction system,Matrix (mathematics),Algorithm,Partial derivative,Pixel,Wishart distribution,Class discrimination,Classical mechanics,Mathematics,Random matrix | Journal |
Volume | Issue | ISSN |
373 | 2056 | 1364-503X |
Citations | PageRank | References |
4 | 0.40 | 13 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Luis Gomez | 1 | 37 | 6.88 |
| L. Alvarez | 2 | 285 | 39.37 |
| L. Mazorra | 3 | 38 | 6.69 |
| Alejandro C. Frery | 4 | 368 | 38.29 |