Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke





.......................

.......................


Publications [#264931] of Guillermo Sapiro

Papers Published

  1. Pardo, A; Sapiro, G, Vector probability diffusion, IEEE International Conference on Image Processing, vol. 1 (2000), pp. 884-887
    (last updated on 2024/04/19)

    Abstract:
    A method for isotropic and anisotropic diffusion of vector probabilities in general, and posterior probabilities in particular, is introduced. The technique is based on diffusing via coupled partial differential equations restricted to the semi-hyperplane corresponding to probability functions. Both the partial differential equations and their corresponding numerical implementation guarantee that the vector remains a probability vector, having all its components positive and adding to one. Applying the method to posterior probabilities in classification problems, spatial and contextual coherences is introduced before the MAP decision, thereby improving the classification results.

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320