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PROGRAM:
NAME
mincstats - calculate simple statistics across voxels of a minc file
SYNOPSIS
mincstats [<options>] <in1>.mnc
DESCRIPTION
Mincstats will calculate simple statistical measures across all voxels of a minc file.
Note that these are global statistical measures and not voxel-by-voxel measures (see
mincaverage for that). By default all statistics are calculated. If any statistics are
requested via a command-line option, then only the requested statistics are printed.
A very useful feature of this program is the ability to restrict the set of voxels
included in the statistic calculation, either by restricting the range of included values,
or by using a mask file with a restricted range. Multiple ranges for the input file or
mask file can be specified. For each range of included volume values, and for each range
of mask values, the relevant statistics are printed out (n*m values, where n is the number
of volume ranges and m the number of mask ranges). These calculations are done in a single
pass through the data, so specifying multiple ranges is much faster than running the
program repeatedly. This is quite helpful when calculating many regional averages with a
VOI mask volume.
Special mention should be given to histograms and related statistical measures. The
default range of the histogram is from the smallest value in the file to the largest. In
the not uncommon, but special, case when the number of histogram bins exactly matches the
number of possible values in the file (e.g. 256 bins for full-range byte data), the
histogram can end up with some odd features when using the default histogram range. This
arises from the discretization of the data that are then rebinned into a slightly
mismatched histgram. For the example of byte data, the values that should be used are 256
bins and a histogram range that extends half a bin below the smallest value and half a bin
above the largest. Use option -discrete_histogram to work this out automatically, or use
-integer_histogram to have bins of unit width if the input data are inherently integer
(e.g. label data). In general, one should be careful about the rebinning of discretized
data to a histogram with a bin size that is close to the level of discretization.
OPTIONS
Note that options can be specified in abbreviated form (as long as they are unique) and
can be given anywhere on the command line. The order in which the statistics are printed
will be always the same irrespective or the order in which they are requested on the
command line
General options
-clobber
Overwrite an existing file.
-noclobber
Don't overwrite an existing file (default).
-verbose
Print out extra information (more than the default).
-quiet Print out only the requested numbers
-max_buffer_size_in_kb size
Specify the maximum size of the internal buffers (in kbytes). Default is 4 MB.
Invalid value options
-ignore_nan
Exclude invalid values (outside valid range) from statistic calculations. This is
the default.
-include_nan
Treat invalid values as zeros and include them in statistic calculations.
-replace_nan value
Replace invalid values with the specified value and include the new value in
statistic calculations.
Volume range options
-floor min1,min2,...
Comma-separated list of lower bounds for ranges of data to include in statistic
calculation.
-ceil max1,max2,...
Comma-separated list of upper bounds for ranges of data to include in statistic
calculation.
-range min1,max1,min2,max2,...
Comma-separated list of lower and upper bounds for ranges of data to include in
statistic calculation.
-binvalue val1,val2,...
Comma-separated list of integer values to include in statistic calculation. A range
of +/- 0.5 is defined around each specified value.
-mask filename.mnc
Name of file to be used for masking data included in statistic calculation. For
this to have any effect, you must specify a mask range with one of the following
options.
-mask_floor min1,min2,...:
Like -floor, but applied to the mask file.
-mask_ceil max1,max2,...
Like -ceil, but applied to the mask file.
-mask_range min1,max1,min2,max2,...
Like -range, but applied to the mask file.
-mask_binvalue val1,val2,...
Like -binvalue, but applied to the mask file.
Histogram options
-histogram filename
Specify the name of a file into which the histogram is written. If multiple ranges
or mask ranges are specified, then all histograms are written in this file,
separated by blank lines. Information describing each histogram is written before
it in lines starting with the hash (pound) character. These files can be loaded
into gnuplot.
-hist_bins number-of-bins
Specify the number of bins in the histogram.
-bins number-of-bins
Synonym for -hist_bins.
-hist_floor min
Specify lower bound for histogram.
-hist_ceil max
Specify upper bound for histogram.
-hist_range min max
Specify a range for the histogram
-integer_histogram
Create bins of unit width, centred around integer values. This is useful for
integer data such as labels. The histogram range is rounded to the nearest integer,
then the min is lowered and the max is raised by 0.5. The number of bins is taken
as the difference of these two values. Note that 0.01 is added to the minimum and
subtracted from the maximum prior to the rounding in order to ensure that a
correctly specified range (e.g. [0.5,255.5]) is preserved. If you want to have
integer bins that are wider than one, you will have to work out the histogram range
and number of bins yourself and not use this option.
-discrete_histogram
Attempt to match the histogram to the discretization of the input data. This is
appropriate for continuous data that are stored in an integer representation and
when a bin width close to the discretization is desired. This is similar to
-integer_histogram, except that the the histogram range is first converted to voxel
values which are rounded and extended by half a bin on either side. This new voxel
range is then converted back to real values. The number of bins is taken as the
difference in the voxel value range. Note that this does not account for variations
in slice-to-slice scaling, so odd histogram effects may still occur. This option is
intended to give behaviour similar to that of volume_stats.
-int_max_bins number-of-bins
Specify the largest histogram that can be automatically sized with the above
options. The limit prevents accidental creation of huge histograms. This option
replaced the old -max_bins option in MINC 1.1.
Basic statistics
-all Compute all statistical measures. This is the default.
-none Synonym for -count (for similarity to volume_stats). Note that although this was
necessary for volume_stats, it is not needed here, since specifying any of these
options automatically turns off -all
-count Count the number of voxels that are within the range and mask.
-percent
Print the percentage of voxels within the range and mask
-volume
Print the volume of the voxels within the range and mask (in mm-cubed).
-min Print the minimum value.
-max Print the maximum value.
-sum Print the sum of all values.
-sum2 Print the sum of the squares of all values.
-mean Print the mean.
-variance
Print the variance.
-stddev
Print the standard deviation.
-skewness
Print the sample skewness (3rd moment) .
-kurtosis
Print the sample kurtosis (4th moment) .
-CoM Print the centre of mass. Both the voxel coordinate and the world coordinates are
printed. The voxel coordinates are printed in file order, whilst the world
coordinates are printed in x,y,z order.
-com Synonym for -CoM.
-world_only
Print the centre of mass in world coordinates only.
Histogram statistics
Note that histogram statistics are derived solely from the histogram counts and bin
centres, so results such as the median will not be exactly the same as the true value for
all included voxels. For example, the error on the median can be as large as a half bin
width. Furthermore, if the histogram range is less than that of included voxels, then the
result applies only to voxels included in the histogram.
-hist_count
Print number of voxels in histogram. This may be different from the number of
included and masked voxels if the histogram range is less than the range of the
included data.
-hist_percent
Print percentage of voxels included in histogram.
-median
Print the histogram median.
-majority
Print the bin centre (intensity value) for the bin with the most counts.
-biModalT
Print the bi-modal threshold separating the volume into two classes The default is
to use the otsu method (see options below)
-otsu Use the method described in Otsu N, "A Threshold Selection Method from Grey-level
Histograms", IEEE Trans on Systems, Man and Cybernetics. 1979, 9:1; 62-66 to
calculate the threshold
-kittler
Use the Kittler&Illingworth '86 algorithm to calculate the for bimodal threshold.
Kittler, J. & Illingworth J., "Minimum error thresholding", Pattern Recognition,
vol 19, pp 41-47, 1986.
-kapur Use the Kapur et al. '85 algorithm to calculate the bimodal threshold. Kapur,
Sahoo & Wong "A new method for Gray-level picture thresholding using the entropy of
the histogram", Computer Vision, Graphics, and Image Processing, vol 29, pp
273-285, 1985.
-simple
Use simple mean-of-means algorithm to calculate the bimodal threshold This is more
computationally expensive than some of the alternatives, and doesn't seem to do a
great job. But it does seem more robust than some of the other methods.
-pctT Print the threshold needed for a particular critical percentage of the histogram.
-entropy
Print the Shannon entropy.
H(x) = - Sum(P(i) * log2(P(i))
where P(i) is the bin probability
Generic options for all commands:
-help Print summary of command-line options and exit.
-version
Print the program's version number and exit.
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