Difference between revisions of "Descriptor Proposed JFMR"
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Given a vector field <math>\vec{V}</math>, a way to classify this configurations is through the use of phase portrait, this method is used in the dynamic system to understand the behavior of functions of 2 or more variables. In computer vision is used in the detection corner, mammography and others. | Given a vector field <math>\vec{V}</math>, a way to classify this configurations is through the use of phase portrait, this method is used in the dynamic system to understand the behavior of functions of 2 or more variables. In computer vision is used in the detection corner, mammography and others. | ||
| − | This method allows to construct a equation system in which | + | This method allows to construct a equation system in which these can calculate the determinant and the trace. |
| + | |||
| + | : <math> A = | ||
| + | \begin{bmatrix} | ||
| + | \frac{\partial U}{\partial x} & \frac{\partial U}{\partial y} \\ | ||
| + | \frac{\partial V}{\partial x} & \frac{\partial V}{\partial y} \\ | ||
| + | \end{bmatrix} | ||
| + | </math> | ||
| + | |||
| + | The trace and the determinant indicate as is the behavior of the system. To calculate the trace and determinant with their: | ||
| + | |||
| + | <math> Trace(A) = \frac{\partial U}{\partial x} + \frac{\partial V}{\partial y} </math> | ||
| + | |||
| + | <math> det(A) = \left(\frac{\partial U}{\partial x} \frac{\partial V}{\partial y}\right) - \left(\frac{\partial U}{\partial y} \frac{\partial V}{\partial x} \right) </math> | ||
Revision as of 18:48, 19 September 2015
Definition
Given a vector field 
, where 
and 
represent the components of the winds of each of the annotations.
The vector field representation allow to observe the behavior of the winds in a determined region, these configurations are:
- Vortex
- Confluence
- Difluence
- Saddle Point
The meteorologists annotated the different configurations that it can present in a period of time and a level determined, this process was done with an annotations tool that allow to select this configurations.
Model Mathematic
Given a vector field 
, a way to classify this configurations is through the use of phase portrait, this method is used in the dynamic system to understand the behavior of functions of 2 or more variables. In computer vision is used in the detection corner, mammography and others.
This method allows to construct a equation system in which these can calculate the determinant and the trace.
The trace and the determinant indicate as is the behavior of the system. To calculate the trace and determinant with their:
