Introduction
Marching Squares is an algorithm for generating contour lines or isolines from a two-dimensional scalar field by analyzing grid cells and their corner values. It determines where contours intersect cell edges and connects them to form continuous lines.
It is used in geographic systems and video game procedural world generation, like in Minecraft, to create terrain contours and realistic landscapes.
Explanation
1. Create a square with either 0 or 1 on each of its corners
2. Identify where the square is classified in the look-up table
3. Draw the line of the according index
4. Repeat in a grid
Demo
Presentation
Resources
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Raging Nexus
This website covers the basic steps of the Marching Squares algorithm on a large grid, serving as an introduction to the concept. It also provides a JavaScript code example to help you understand how it works
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iRadicator
This website introduces metaballs and explains how they can be used to create contour maps. It shows how metaballs blend together to form smooth, organic shapes
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Boris the Brave
This website introduces Marching Squares with a slightly different approach, adding linear interpolation to create a circle. It demonstrates how interpolation improves the smoothness of the generated shapes.
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Jurasic Dev
This demo is a fun way to interact with Marching Squares, metaballs, and linear interpolation. You can adjust the parameters to see how they affect each other