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Graph cutting for Image

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Graph Cut Segmentation and Background Removal

Have you ever wanted to cut out a specific object from a photo but found manual selection tools tedious and inaccurate? This challenge is known as Foreground Extraction. Simple thresholding often fails because real-world objects have complex colors and lighting. To solve this, we use an advanced iterative algorithm called Graph Cut Segmentation.

How Graph Cut Works (In Simple Terms)

Imagine you are trying to cut a sticker out of a magazine. You draw a rough box around the object. You tell the computer: "Everything outside this box is definitely background. Everything inside is unknown." The Graph Cut algorithm then acts like a smart painter. It looks at the colors outside the box to learn what "background" looks like. It then scans the inside of the box and tries to separate pixels that match the background from those that look unique (the foreground).

Example: Background Removal

Graph Cut Segmentation Example
Graph Cut Segmentation

Mathematical Explanation (Graph Theory)

Graph Cut treats the image as a Graph, where every pixel is a node. The algorithm uses a technique called Graph Cut (Min-Cut/Max-Flow). It models the colour distribution of the Foreground and Background using Gaussian Mixture Models (GMMs).

E(α) = U(α) + V(α)

The energy function E is minimized to find the best cut:

Read the engineering docs to understand the implementation of Graph cut Segmentation.

Read Technical Docs →

Why Use Graph Cut?

Frequently Asked Questions (FAQ)

Q: Why does it sometimes cut off parts of the object? If the object has colours very similar to the background (camouflage), the GMM might confuse them. Increasing contrast helps.
Q: Can I process transparent objects? Graph Cut struggles with transparency (like glass) because it assumes pixels belong to either Foreground OR Background, not a mix.

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