Updated: 18 May 2017

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**pamgauss** - create a two-dimensional Gaussian function as a PAM image

**pamgauss**
*width*
*height*
**-sigma=***number*
[**-maxval=***number*]
[**-tupletype=***string*]
[**-maximize**]
[**-oversample=***number*]

Minimum unique abbreviation of option is acceptable. You may use double hyphens instead of single hyphen to denote options. You may use white space in place of the equals sign to separate an option name from its value.

pamgauss 7 7 -sigma=.5 -maximize -tupletype=GRAYSCALE | pamtopnm >gauss.pgm pnmconvol -nooffset -normalize gauss.pgm myimage.ppm >blurred.ppm

This program is part of
**Netpbm**(1).

**pamgauss** generates a one-plane PAM image whose samples are a
Gaussian function of their distance from the center of the image. I.e.
the sample value is highest in the center and goes down, in a bell curve
shape, as you move away from the center.

You can use this image as a convolution kernel with
**pnmconvol** to blur an image. (This technique is known as
Gaussian blurring).

*width* and *height* are the dimensions of the image that
**pamgauss** generates. Mathematically speaking, they are the domain of
the two-dimensional Gaussian function. If you want to be sure you get a whole
Gaussian function, make sure that you choose a standard deviation and image
dimensions so that if you made it any larger, the sample values at the edges
would be zero.

The output image is PAM. To make it usable with **pnmconvol**,
specify **-tupletype=GRAYSCALE** so **pnmconvol** can use it as
if it were PGM. You must use the **-nooffset** option on
**pnmconvol** because zero means zero in the PAM that
**pamgauss** generates.

Without **-maximize**, the sum of all the samples is equal to the
image's maxval (within rounding error). This is true even if you clip the
Gaussian function by making the image too small. This is what is normally
required of a convolution kernel.

**pamgauss** oversamples and averages to represent the continuous
Gaussian function in discrete samples in the PAM output. Consider an image 11
samples wide and an oversampling factor of 10. The samples can be thought of
as contiguous squares one unit wide. The center of the image is thus the
center of the 6th sample from the left. The 3rd sample from the left covers a
range of distances from 3 to 4 units from the center of the image. Because
the oversampling factor is 10, **pamgauss** computes the value of the
Gaussian function at 10 points evenly spaced between 3 and 4 units from the
center of the image and assigns the 3rd sample from the left the mean of those
10 values.

**-sigma=***number*-
This is the standard deviation of the Gaussian function. The higher the
number, the more spread out the function is. Normally, you want to make this
number low enough that the function reaches zero value before the edge of your
image.
*number*is in units of samples.This option is required. There is no default.

**-maximize**-
Causes
**pamgauss**to use the whole dynamic range available in the output PAM image by choosing an amplitude for the Gaussian function that causes the maximum value in the image to be the maxval of the image.If you select this, you probably want to normalize the output (scale the samples down so the volume under the surface of the two-dimensional Gaussian function is the maxval) before you use it, for example with

**pnmconvol**'s**-normalize**option. The reason this is different from just not using**-maximize**is that this subsequent normalization can be done with much more precision than can be represented in a PAM image.Without this option,

**pamgauss**uses an amplitude that makes the volume under the surface of the two-dimensional Gaussian function the maxval of the image. This means all the samples in the image are normally considerably less than the maxval.This option was new in Netpbm 10.79 (June 2017).

**-maxval=***number*-
This is the maxval for the output image. 65535 is almost always the best
value to use. But there may be some programs (not part of Netpbm) that can't
handle a maxval greater than 255.
The default is 255.

**-tupletype=***string*-
This is the value of the "tuple_type" attribute of the created PAM image.
It can be any string up to 255 characters.
If you don't specify this,

**pamgauss**generates a PAM with unspecified tuple type. **-oversample=***number*-
This sets the oversampling factor.
**pamgauss**samples the Gaussian function this many times, both horizontally and vertically, to get the value of each sample in the output.An oversampling factor of 1 means no oversampling, which means each sample is based only on the value of the Gaussian function at the center of the sample.

The default is 5 divided by the standard deviation, rounded up to a whole number.

This option was new in Netpbm 10.79 (June 2017). Before that, it is essentially 1 - there is no oversampling.

**pamgauss** was new in Netpbm 10.23 (July 2004).