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z$LPp-i*Zs7V9M4Ox?Q_IVtpg2RzX{vk->K((hYI86Klz_CTW$6f8Q0<0c$QR|IaBP zLvA}%3Tyw~98fl_`9DAN_ZD!c7QFNKS4(*^ocz0lSk6%HCnq{q>&E|cnEd~L=Kty0 c MInt(C_1, C_2) \\ +# \text{False} & \text{ otherwise} +# \end{cases}$ + +# Where, +# - **Internal difference**: $$Int(C) = \max_{e\in MST(C, E)} w(e)$$, where $$MST$$ is the minimum spanning tree of the +# components. A component $$C$$ can still remain connected even when we have removed all the edges with weights < $$Int(C)$$. +# - **Difference between two components**: $$Dif(C_1, C_2) = \min_{v_i \in C_1, v_j \in C_2, (v_i, v_j) \in E} w(v_i, v_j)$$. +# $$Dif(C_1, C_2) = \infty$$ if there is no edge in-between. +# - **Minimum internal difference**: $$MInt(C_1, C_2) = min(Int(C_1) + \tau(C_1), Int(C_2) + \tau(C_2))$$, where $$\tau(C) = k / \vert C \vert$$ +# helps make sure we have a meaningful threshold for the difference between components. With a higher $$k$$, +# it is more likely to result in larger components. +# # ![](assets/felzenszwalb1.png) + +# Only when the predicate holds True, we consider them as two independent components; otherwise the +# segmentation is too fine and they probably should be merged. + +function get_random_color(seed) + Random.seed!(seed) + rand(RGB{N0f8}) +end + +img = Gray.(testimage("coffee")) + +# Now let's segment with `felzenszwalb` method which requires a image with - `img`,`k` which is threshold for region merging step +# i.e. larger threshold will result in bigger segments and `min_size` which sets minimum segment size (in pixels) + +segments_k100 = felzenszwalb(img, 100) # k=100 (the merging threshold) +segments_k10 = felzenszwalb(img, 10) # k=10 + +# Here let's visualize segmentation by creating an image with each label replaced by a random color: + +result_klow = map(i-> get_random_color(i), labels_map(segments_k10)) +result_khigh = map(i-> get_random_color(i), labels_map(segments_k100)) + +mosaic(img, result_klow, result_khigh; nrow=1) + +# As we can see, higher k generates a very different image with bigger segments combined together. +# # ![](assets/felzenszwalb2.png) + +save("assets/felzenszwalb.gif", cat(img, result_klow, result_khigh; dims=3); fps=1) #src + +# # References: +# - https://lilianweng.github.io/lil-log/2017/10/29/object-recognition-for-dummies-part-1.html \ No newline at end of file