Question 8 - mock exam 2021

Question 8 - mock exam 2021

by Vishal Pani -
Number of replies: 2
Hi there,

I have a doubt about the question: "When using the ST min-cut algorithm to segment an image:"

One of the correct answers says, "The algorithm operates on very sparse graphs." But aren't we supposed to consider each pixel as a node, hence the entire image forms a dense graph, right? I can only think of making the graph sparse by assuming the nodes to be superpixels acquired by running a 5D K-Means beforehand.

I really appreciate any help you can provide!
In reply to Vishal Pani

Re: Question 8 - mock exam 2021

by Corentin Dumery -
Hi Vishal,

In the graph defined in Slide 59 of Segmentation, edges only connect neighboring pixels.

Or maybe the misunderstanding here is that the sparsity of a graph refers to it's number of edges, not nodes. Here, |E| is roughly equal to 4 |V|, which is low compared to a dense graph of ~|V|² edges.

Hope that helps!
Corentin