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zcB$|YJX9M97_j)vO|Ko_rIz^WoQM%i%2OvnsX*QR2dv<<)ZNb2eEPhCxhTfW1kd!0 zu(JvK!T0Sg!1wjt6utH~^1PE}gPOD?sUj zDCr2q$;#m1_mMU7zS_Kd+x4#B|E1K7t}9>@&sXBa5VW0~j(u%Q`4AU%H(5>ESMj`z zZ+w@&i!zH#lEDVIxkS*i_HJD=u^RS2&g^)q1=B2jKUmsm9(<@DEA~$0Z`@z)&OUl! z0V{=0RxlEkyrCekN0Z7F<*4&?zmp^(aOnQ==f2$?lNE{Zvn$;onP+C2c%}c}+)7=x zfQBgE8BQ3&NJ82roDMGj?K<{tMz&NY$rM@s#iK%N(vV2=M`}l1x#{~Y+Z2Td!*$@% zXS73+W$f|Sm{_8u$9rjArcq=9c3o~?-?|lji6SxM`#e?*C;0-;F9I3rnE#BY_(cbM z*pAhLS7Q%Eh@X(N=6U4}{LUSdNCUQvle*)get_random_color(i), labels_map(seg_small)) .* (1 .-Gray.(img_small)) + +# Let's see results for worm case.. + +seg = seeded_region_growing(img, seeds) +result = map(i->get_random_color(i), labels_map(seg)) .* (1 .-Gray.(img)) + +# Let's see labels_map results which were then used in the seg_small case. + +labels_map(seg_small) + +# ## Unseeded region growing + +# This algorithm is similar to [Seeded Region Growing](@ref) but does not require +# any prior information about the seed points. The segmentation process initializes +# with region ``A_1`` containing a single pixel of the image. Let an intermediate state +# of the algorithm consist of a set of identified regions ``A_1, A_2, ..., A_n``. +# Let ``T`` be the set of all unallocated pixels which borders at least one of these +# regions. The growing process involves selecting a point ``z \in T`` and region ``A_j`` +# where ``j \in [ 1,n ] `` such that + +# ```math +# \delta(z, A_j)= \min_{x \in T, k \in [ 1,n ] } \{ \delta(x, A_k)\} +# ``` +# where `` \delta(x, A_i)= | \operatorname{img}(x) - \operatorname{mean}_{y \in A_i} [ \operatorname{img}(y) ] |`` + +# If ``\delta(z, A_j)`` is less than `threshold` then the pixel `z` is added to ``A_j``. +# Otherwise we choose the most similar region ``\alpha`` such that + +# ```math +# \alpha = \argmin_{A_k} \{ \delta(z, A_k) \} +# ``` +# If ``\delta(z, \alpha)`` is less than `threshold` then the pixel `z` is added to ``\alpha``. +# If neither of the two conditions is satisfied, then the pixel is assigned a new region ``A_{n+1}``. +# After assignment of ``z``, we update the statistic of the assigned region. The algorithm halts when +# all the pixels have been assigned to some region. + +# `unseeded_region_growing` requires the image `img` and `threshold` as its parameters. + +img_src = load("assets/worm.jpg") + +# Now, let's segment this image using unseeded_region_growing + +seg_small = unseeded_region_growing(img_small, 0.05) # here 0.05 is the threshold +result = map(i->get_random_color(i), labels_map(seg_small)) .* (1 .-Gray.(img_small)) + +# Let's see results for worm case.. + +seg = unseeded_region_growing(img_src, 0.5) # here 0.05 is the threshold +result = map(i->get_random_color(i), labels_map(seg)) .* (1 .-Gray.(img_src)) + +# Let's see labels_map results which were then used in the seg_small case. + +labels_map(seg_small) + +save("assets/regiongrowing.gif", cat(img, result; dims=3); fps=1) #src