Synopsis

HxImageRep HxConvGauss3d (HxImageRep img, double sigmax, int orderDerivx, double truncationx, double sigmay, int orderDerivy, double truncationy, double sigmaz, int orderDerivz, double truncationz)

Input

HxImageRep img

The image you want to convolve with a Gaussian kernel. The used Gaussian kernel is composed from three seperate kernels, one for the x-direction, one for the y-direction and one for the z-direction.

double sigmax

The sigma of the Gaussian kernel in the x-direction.

int orderDerivx

The order of the derivative of the Gaussian kernel in the x-direction.

double trunctationx

This parameter determines at how many sigma the Gaussian filter is clipped in the x-direction.

double sigmay

The sigma of the Gaussian kernel in the y-direction.

int orderDerivy

The order of the derivative of the Gaussian kernel in the y-direction.

double truncationy

This parameter determines at how many sigma the Gaussian filter is clipped in the y-direction.

double sigmaz

The sigma of the Gaussian kernel in the z-direction.

int orderDerivz

The order of the derivative of the Gaussian kernel in the z-direction.

double truncationz

This parameter determines at how many sigma the Gaussian filter is clipped in the z-direction.

Return value

HxImageRep

The result of convolving the input image with a Gaussian kernel as described by the parameters sigmax, orderDerivx, truncationx, sigmay, orderDerivy, trunctiony, sigmaz, orderDerivz and truncationz.

Description

The function HxConvGauss3d convolves 3D-images with a Gaussian filter funtion. The filter function is separated in the x-, y- and z-direction, where the sigma and the order of the derivative in both directions can be given separately. The truncation (in all directions) determines the size of the filter in sigma (of the particular direction), where the filter size, in sigma, is 2 times the truncation plus 1. For vector images, each channel is convolved separately with the Gaussian kernel.

Remarks

Valid image types

All 3D types of images are allowed for this function.

Valid values for the parameters

sigmax, sigmay, sigmaz, truncationx, truncationy and truncationz should all be greater than zero. orderDerivx, orderDerivy and orderDerivz should be larger or equal to zero.

Border handling

This function uses MIRRORED border handling, see the section on Border handling.

See also

HxGaussDerivative3d, HxConvolution, HxGauss, HxConvGauss2d,

Keywords

Filter, Convolution, Gauss,

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