lti::hessianKernelXY Class Reference
[Linear filtering]

Two-dimensional kernels to compute the Hessian coefficients. More...

Inheritance diagram for lti::hessianKernelXY:

Collaboration diagram for lti::hessianKernelXY:

Detailed Description

Two-dimensional kernels to compute the Hessian coefficients.

The Hessian coefficients at a pixel correspond to the second derivatives. There are for images three cases:

The 3x3 is the kernels to compute this are:

For $\frac{\partial^2 f(x,y)}{\partial x^2}$

  0.1  -0.2   0.1
  0.3  -0.6   0.3
  0.1  -0.2   0.1

For $\frac{\partial^2 f(x,y)}{\partial y^2}$

  0.1   0.3   0.1
 -0.2  -0.6  -0.2
  0.1   0.3   0.1

For $\frac{\partial^2 f(x,y)}{\partial x \partial y}$

  0.125  0  -0.125
  0      0   0
 -0.125  0   0.125

These kernels are separable and therefore implemented that way.

This kernel implements $\frac{\partial^2 f(x,y)}{\partial x \partial y}$

lti::hessianKernelXY::hessianKernelXY ( )

Constructor.

void lti::hessianKernelXY::generate ( )

Initialize this kernel.

The documentation for this class was generated from the following file: