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| | Toolkit | Contains | Description |
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| | _convert | parse_int l, … | convert ascii text to numbers |
| | to_matrix x, … | convert anything into a matrix |
| | colour_transform_to to x, … | convert between colour spaces |
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| | _generate | image_new w h ... | make a blank image |
| | image_white i | look at image i, try to guess what white is |
| | make_xy w h | make an image of size w by h whose pixel value are |
| | | their coordinates |
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| | _types | Image i | all the standard classes and support functions, |
| | | see §6.13 |
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| | _predicate | is_colour_space i | test for objects are in various categories or have |
| | | various properties |
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| | _stdenv | logical_and x, … | function versions of all the operators |
| | bandsplit i, … | break up and recombine images by band |
| | mean x, … | statistical ops on objects |
| | transpose x, flipud x, rot90 x, … | flips, rotates, etc. on objects |
| | rad x, pi, … | trigonometry stuff |
| | sign x, conj x, polar x, … | complex stuff |
| | rint x, ceil x, … | various rounding things |
| | fwfft x, … | fourier stuff |
| | dilate m x, rank w h n i, … | morphology stuff |
| | conv m x, … | convolution stuff |
| | image_set_type t i, … | set various image header field |
| | resize x y i, … | resampling images |
| | recomb m i, … | recombinations |
| | clip2fmt f i, … | format conversions |
| | hist_find m x, … | histogram stuff |
| | id x, const x y, … | various useful operations on functions |
| | map_binary fn x y, … | mapping over groups |
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| Table 6.4: | Useful utility functions — see the source for details |
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