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what_are_colormaps.jl
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what_are_colormaps.jl
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### A Pluto.jl notebook ###
# v0.19.32
using Markdown
using InteractiveUtils
# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error).
macro bind(def, element)
quote
local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end
local el = $(esc(element))
global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el)
el
end
end
# ╔═╡ 9bc349e8-efb0-11ea-1392-cd735828af33
# packaged loads, etc
begin
using Colors
using DelimitedFiles
using NIfTI
using Images
using ImageView
using StatsBase
using Plots
using PlutoUI
md"""loading packages..."""
end
# ╔═╡ 47a60d48-058e-11eb-3140-03a5c22a27ee
html"<button onclick=present()>Present</button>"
# ╔═╡ ab3afe3a-0684-11eb-090d-ffeea5fcadec
html"""
<br>
"""
# ╔═╡ 730d087c-067b-11eb-0427-e9425b7c1ed6
md"""# Images and colourmaps"""
# ╔═╡ 8029070e-efb0-11ea-1d0a-7f402f2e9989
md"""## What are images and colourmaps?
- a brief explanations of RGB colours
- what are **intensity images**
- how can be superimpose two images by using different colour maps?
"""
# ╔═╡ 06433d72-058b-11eb-0565-c3e0f393ef5d
md"""## How do colours work on a computer?"""
# ╔═╡ 38bf1198-049f-11eb-0b21-334cd2fe39d3
md"""Colours used on computer displays are often defined in terms of the proportion of **red**, **green**, and **blue** the contain """
# ╔═╡ 542b0706-058b-11eb-0ae3-d57aa9ead256
[ RGB(1, 0, 0), RGB(0, 1, 0), RGB(0, 0, 1)]
# ╔═╡ bfb16300-058e-11eb-38d2-3572d8db913f
md"""## Controlling strength of each colour"""
# ╔═╡ ec3816c4-058b-11eb-2d8b-a1ed496f153d
md"""we can change the amount of each by multiplying by a number between 0 and 1
multiplying each color by a number varies the **amount**: $(@bind colorMult Slider(0:0.1:1, default = 1.0, show_value=true)) """
# ╔═╡ 0e5ddcca-058c-11eb-3068-73441b317478
[ RGB(colorMult, 0, 0), RGB(0, colorMult, 0), RGB(0, 0, colorMult)]
# ╔═╡ cb5f17f4-067b-11eb-3f8b-3ff5d0aa088c
md"""
- sometimes the colour values are displays as fractions $[0..1]$
- on the computer, those values are often stored between $[0..255]$ (**8 bits**)
"""
# ╔═╡ 62d614fc-058f-11eb-1fc0-09e86807181e
md"""## Mixing RGB creates unique colours """
# ╔═╡ 8baff8a4-058f-11eb-0882-9f305cf65b7c
md"""We can create many different colors by independently changing values and then adding:
The following proportions of
`red` $(@bind redM Slider(0:0.1:1, default = 0.5, show_value=true))
`green` $(@bind greenM Slider(0:0.1:1, default = 0, show_value=true))
`blue` $(@bind blueM Slider(0:0.1:1, default = 0, show_value=true))
lead the following colour:
"""
# ╔═╡ cc6e657e-058f-11eb-2314-5b6df2f908e9
begin
cPatch = [RGB(redM,greenM, blueM) for i=range(0,1, length=2), j= range(0,1, length=2)]
heatmap(cPatch,
xticks=:none,
yticks=:none, title="RGB = $([redM, greenM, blueM])")
end
# ╔═╡ 70e80930-04a1-11eb-055b-152d2006d067
md"""## Example: mixing red with...
number of steps in color map $(@bind nSteps Slider(5:5:15, show_value=true)) """ # number of steps in ramp"""
# ╔═╡ 1b79dd34-041d-11eb-037a-93335f4b4116
r = [RGB(i, 0, 0) for i=range(0,1, length=nSteps), j= range(0,1, length=nSteps)];
# ╔═╡ 50856a72-05ba-11eb-0f1f-7dc909270ad5
heatmap(r, xticks=:none, yticks=:none)
# ╔═╡ 82d57e14-04a1-11eb-2190-9daace12efa8
md"""## ... more green/blue
results in a grid of colours that have more red $\downarrow$ and
1. more green towards $\rightarrow$ right
2. more blue towards $\rightarrow$ right"""
# ╔═╡ 6f3591f2-049f-11eb-2a97-ad43e34fb000
begin
g = [RGB(0,j, 0) for i=range(0,1, length=nSteps), j= range(0,1, length=nSteps)]
b = [RGB(0,0, j) for i=range(0,1, length=nSteps), j= range(0,1, length=nSteps)]
rg = [RGB(i,j, 0) for i=range(0,1, length=nSteps), j= range(0,1, length=nSteps)]
rb = [RGB(i,0, j) for i=range(0,1, length=nSteps), j= range(0,1, length=nSteps)]
heatmap(g, xticks=:none, yticks=:none, layout=(2,2), subplot=1,
title="green")
heatmap!(b, xticks=:none, yticks=:none, layout=(2,2), subplot=2,
title="blue")
heatmap!(rg, xticks=:none, yticks=:none, layout=(2,2), subplot=3,
title="red + green")
heatmap!(rb, xticks=:none, yticks=:none, layout=(2,2), subplot=4,
title="red + blue")
end
# ╔═╡ 79e91b4e-0654-11eb-2fac-777bdb7c41f5
rgbTable = [RGB(i,j, k) for i=range(0,1, length=nSteps),
j=range(0,1, length=nSteps),
k= range(0,1, length=nSteps)];
# ╔═╡ 0d3ab51c-0590-11eb-1d21-1f6fde64b56f
md""" ## So $\rightarrow$ 3 numbers to specify a colour
### Question
What if we only want have 1 number for each pixel (or voxel in three dimensions)?
For example, the signal **intensity** from magnetic resonance imaging (MRI) is a single number at each point.
### Answer
Change `r`, `g`, and `b` values by same amount... this results in
[black ... grey ... white]
"""
# ╔═╡ 3c37796e-058c-11eb-330f-c9f07956d74e
md""" ## grey """
# ╔═╡ 2a2a7d84-058f-11eb-27bb-db743f9910d5
md"""$(@bind greyMult Slider(0:0.1:1, default = 0.7, show_value=true)) """
# ╔═╡ 69bc09c0-058c-11eb-36a6-bd6e942b5e08
md"""... if we mix `R` , `G` and `B` together in equal amounts, we get GREY"""
# ╔═╡ 81adabb0-058c-11eb-3ee6-959bbf5f0c5d
begin
rgb = [RGB(greyMult,greyMult, greyMult) for i=range(0,1, length=2), j= range(0,1, length=2)]
heatmap(rgb, xticks=:none, yticks=:none, title="RGB = $(repeat([greyMult],1,3))")
end
# ╔═╡ 266fa81e-067e-11eb-19f6-37bcc6c623e3
md"""## Colourmaps?!
The rule for which colour goes with which value...
$\begin{matrix}
0 & 1 & \dots & 254 & 255 \\
\text{black} & \text{dark grey} & \dots & \text{light grey} & \text{white}
\end{matrix}$
"""
# ╔═╡ 1c814864-0686-11eb-1c6f-2f0fa3d874cf
md"""or **reds**"""
# ╔═╡ c8c8b590-0685-11eb-037a-d17f5e4c3ba4
reverse(cgrad(:reds))
# ╔═╡ 26100fbe-0686-11eb-10eb-6752e71e2481
md"""or **jet** """
# ╔═╡ 3a80a800-0686-11eb-2da5-49c8cb23254d
cgrad(:jet1)
# ╔═╡ 8b8056b0-0686-11eb-15ae-c32b9e0034a2
md"""or **hsv**, **viridis**, ..."""
# ╔═╡ c00be5ca-0686-11eb-1a62-c75bb04147df
cgrad(:hsv)
# ╔═╡ c4cd3778-0686-11eb-169e-57ca0d655f5b
cgrad(:viridis)
# ╔═╡ 46874f50-0686-11eb-0e2b-8f54c14e5e8a
md"""[a whole list of them](http://docs.juliaplots.org/latest/generated/colorschemes/#scientific) online
"""
# ╔═╡ 7f61ac58-0684-11eb-182a-ad7903933dd5
md"""## Displaying a slice w/ different colourmaps """
# ╔═╡ 49141f5e-06fa-11eb-1cb0-7ffc29a11b48
md"""## Superimposing anatomy + statistical result
in practice, we often want to merge two images with different color maps, say *gray* (for anatomical imformation) and *inferno* (for statistical results)
"""
# ╔═╡ 1386a3c6-06fb-11eb-2abe-29cfbf505e0e
stat_image = niread("data/thresh_zstat3.nii");
# ╔═╡ f30741d0-06fa-11eb-290b-375c807e13c6
bg_image = niread("data/tmean.nii");
# ╔═╡ 3ebec912-06fc-11eb-23de-cdb28471c46d
md"""slice: $(@bind someSlice Slider(1:size(bg_image,3), default = 12, show_value=true))
"""
# ╔═╡ 9c1b27d4-0684-11eb-235b-eb019285d84d
html"""
<br>
"""
# ╔═╡ 27115482-0682-11eb-19d8-c344581ec8af
colormap_names = ["greys","reds", "jet", "viridis", "hsv", "inferno"];
# ╔═╡ 7d531b12-0682-11eb-3417-4f641024d076
@bind sliceColor Select(colormap_names)
# ╔═╡ 4aa28d70-067c-11eb-1bfc-179c255fcdd0
md"""## Some fun notes...
somet things you can do with `Colors.jl` in a Pluto notebook.
"""
# ╔═╡ 6381fc42-0654-11eb-3d50-9fd2b4d241b7
md"""## the whole table of r, g, b...
mixing $(nSteps) red by $(nSteps) green by $(nSteps) blue results in $(nSteps.^3) colour tiles """
# ╔═╡ 9d530386-0654-11eb-13ea-4dbc0c7d9f03
begin
allColors2d = reshape(rgbTable, nSteps, nSteps*nSteps )
heatmap(allColors2d, xticks=:none, yticks=:none)
end
# ╔═╡ d12a8c42-0680-11eb-225d-f9d14982eef4
md"""## Showing colors and fMRI response
two different views of the same timecourse data:
- time (in volumes) runs from top $\downarrow$
- left view: fMRI response in colors (dark: low, bright: high)
- right view: a plot (just rotated by 90$^\circ$)
"""
# ╔═╡ 8fa5f8da-04a1-11eb-2941-65dd79fdba84
md"""### Colour picking in notebook """
# ╔═╡ 9d485144-0588-11eb-3996-0fc8abf6ed9d
@bind someColor html"""<input type="color" id="favcolor" name="favcolor" value="#ff0000">"""
# ╔═╡ bd6e4a08-0588-11eb-0a97-d1d98b30d894
md"""the colour is stored a variable in **hexadecimal format: $(someColor)"""
# ╔═╡ c35d782a-04a0-11eb-2d29-296d9f33ecd9
md"""### Named colors in the `Colors.jl` package """
# ╔═╡ 409aa96c-04a0-11eb-377a-2732f7fecbaa
[keys(Colors.color_names)...]
# ╔═╡ 0b4e44d4-04a1-11eb-3e57-53f8cdb029a7
# get the color names out of the dictionary
color_names = sort([keys(Colors.color_names)...]);
# ╔═╡ 2c6ad37c-04a0-11eb-28b7-8b55c2f60cb3
@bind the_color Select(color_names);
# ╔═╡ f3661c44-049f-11eb-1ff7-6f0d6d96d8fe
RGB(Colors.color_names[the_color]./255...)
# ╔═╡ 9f76bc18-0421-11eb-2d94-f7aa0f2e0998
md"""## math typsetting etc
an equation
```
\begin{equation}
\sum_{i=0}^{\infty}\frac{1}{x^i}
\end{equation}
```
$\begin{equation}
\sum_{i=0}^{\infty}\frac{1}{x^i}
\end{equation}$
"""
# ╔═╡ 56027975-33d2-459e-a9b9-60769d39fc2b
# ╔═╡ 44de79f0-f450-11ea-0f93-15cb49d19311
md"""## An interactive 3d viewer"""
# ╔═╡ 2b2f6be4-f07f-11ea-1459-775749ca949f
md"""## Some helper functions """
# ╔═╡ 141dde62-efb1-11ea-34df-cd5e838d8129
begin
# read data in from file
data = NIfTI.niread("data/filtered_func_data.nii");
md"""loading in `data` """
end
# ╔═╡ a8ab8ee6-f083-11ea-1316-7fbe4e125914
begin
md"""
x $(@bind xLoc Slider(1:size(data,1), default=42, show_value=true));
y $(@bind yLoc Slider(1:size(data,2), default=10, show_value=true)); z $(@bind zLoc Slider(1:size(data,3), default=8, show_value=true))
"""
end
# ╔═╡ b247bd76-f07e-11ea-1e07-577643ff20af
begin
heatmap(repeat(data[xLoc,yLoc,zLoc,:],1,1),
c=:greys,
layout=(1,2), subplot=1,
title = "timecourse at [$(xLoc), $(yLoc), $(zLoc)]")
xaxis!(showaxis=:y, subplot=1)
yaxis!(flip=true, ylabel="time (volumes)")
plot!(data[xLoc,yLoc,zLoc,:], 1:size(data,4) ,subplot=2)
xaxis!(xlabel="fMRI response", xflip=false, subplot=2)
yaxis!(showaxis=:xy, yflip=true, subplot=2)
end
# ╔═╡ f0ef494e-f80c-11ea-1163-b954c1739162
view(data, :, :, 12, 1)
# ╔═╡ 25d9fd54-f450-11ea-3b2a-2f872e88a372
md"""z coord $(@bind zSlider Slider(1:size(data,3)))"""
# ╔═╡ 13a8fe64-efb4-11ea-1ac6-dbd49975dddf
minMax = percentile(data[:], [1; 99])
# ╔═╡ 8df7fcb6-f602-11ea-3f15-ff7c241ce9d4
plotSlice = function(zl, cmap="greys")
heatmap(view(data, :,:, zl, 1),
aspect_ratio=:equal,
axis=:off,
clim=tuple(minMax...),
c=Symbol(cmap),
title = "Slice # $(zl) with colors: $(cmap)")
end
# ╔═╡ 9dc04240-0681-11eb-3db5-ad9e7e1ee810
plotSlice(zLoc,sliceColor)
# ╔═╡ 71606d26-efb4-11ea-12e2-75f85b9ea7d8
scaleFunc = scaleminmax(minMax[1], minMax[2])
# ╔═╡ 3ed9060c-06fb-11eb-1440-a168e684e874
begin
bgSlice = bg_image[:,:,someSlice]
statSlice = stat_image[:,:, someSlice]
statSlice[statSlice .< 2.3] .= NaN
# minAndMax = percentile(bgSlice, (5, 95))
#Gray.(scaleFunc.(displayData)
gImage = Gray.(scaleFunc.(bgSlice))
statScale = scaleminmax(0, 8.0)
sImage = statSlice; #statScale.(statSlice)
cImage = gImage .+ sImage
heatmap(gImage, title="slice $(someSlice), anatomy + statistical map")
heatmap!(sImage, aspect_ratio=1,c=:hot, clims=(2.3,8))
xaxis!(showaxis=:no)
end
# ╔═╡ 072ce484-efb2-11ea-36ee-29a0147cfc04
"""
displaySlice
return and display a slice in a particular orientation.
"""
displaySlice = function(e, s = 1, orientation = 1, scaling = scaleFunc)
# - can index in +1st dimension of dataset
# so even if dims = 3, indexing into 1 of dim=4 will work.
#if (ndims(e) == 4)
# e = mean(e; dims = 4)
# println("console message - averaging across time")
#end
if (orientation == 1)
displayData = view(e, s, :,:,1)
elseif (orientation == 2)
displayData = view(e, :,s,:,1)
elseif( orientation == 3)
displayData = view(e, :, :, s, 1)
else
error("uhoh!")
end
rotl90(Gray.(scaling.(displayData)))
end
# ╔═╡ bb15657a-f5f4-11ea-2555-65b86fec3444
[displaySlice(data, i, 2, scaleFunc) for i in 1:10:size(data, 2)]
# ╔═╡ c6f20f76-f5f4-11ea-05d2-aba2612911f4
[displaySlice(data, i, 1, scaleFunc) for i in 1:10:size(data, 1)]
# ╔═╡ 1fed409a-f450-11ea-21be-8d44768dea80
displaySlice(data, zSlider, 3, scaleFunc)
# ╔═╡ f289d412-05be-11eb-172b-316cebd67e80
gr()
#plotly()
# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
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PlutoUI = "~0.7.40"
StatsBase = "~0.33.21"
"""
# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
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