# How to Implement Brute Force Convex Hull Algorithm in

In this guide, I will explain how to implement the brute force convex hull algorithm in Markdown format. This algorithm is used to generate convex hulls, which are shapes that contain a set of points and do not allow any space to form inside them. It is often used in computational geometry and machine learning.

## Prerequisites

Before we dive into the algorithm, it's important to make sure that you have everything you need to follow along. The following prerequisites will help you get ready:

• Basic knowledge of object-oriented programming and the Python programming language
• A basic understanding of computational geometry concepts, including convex hulls
• Access to an IDE or text editor, such as Visual Studio Code or Sublime Text, to follow along

## Step-by-Step Instructions

Now that you have the prerequisites, let's go over how to implement the brute force convex hull algorithm in Markdown format.

1. Create a new Markdown file and save it as `convex_hull_brute_force.md`.
2. Begin the Markdown document by importing the necessary libraries with the statement `import numpy as np` and `from scipy import spatial`.
3. Next, create a function with the statement `def convex_hull_brute_force(points):`. This function will take in a list of points (in the form of `[x,y]`) as its input and return the convex hull as its output.
4. Inside the `convex_hull_brute_force` function, create a for loop for every point in the input list. Inside the for loop, add an `if` statement to check if the current point is in the convex hull and add it if it's not. Use a combination of the `spatial.ConvexHull` class and the `hull.vertices` method to help you with this.
5. Finally, add a `return` statement to the end of the `convex_hull_brute_force` function to return the convex hull.

## FAQ

### What is a convex hull?

A convex hull is a shape that contains a set of points and does not allow any space to form inside it. It is often used in computational geometry and machine learning.

### What is the brute force convex hull algorithm?

The brute force convex hull algorithm is a computational geometry algorithm that is used to generate convex hulls. This algorithm works by looping through the input points and adding them to the convex hull if they are not part of it yet.

### How does the algorithm work?

The algorithm works by looping through the input points and checking each one to see if it is in the convex hull. If it is not, the point is added to the convex hull. This process is repeated until all of the points have been examined.

### What programming language do I need to use to implement the algorithm?

The brute force convex hull algorithm can be implemented in any programming language, but Python is the most popular choice due to its wide range of libraries and its understandable syntax. You will need to have basic knowledge of the language and some experience with object-oriented programming in order to implement the algorithm.

### What steps should I take to implement the algorithm?

To implement the brute force convex hull algorithm, you should:

• Create a new Markdown file and save it as `convex_hull_brute_force.md`.
• Begin the Markdown document by importing the necessary libraries with the statement `import numpy as np` and `from scipy import spatial`.
• Create a function with the statement `def convex_hull_brute_force(points):`. This function will take in a list of points (in the form of `[x,y]`) as its input and return the convex hull as its output.
• Create a for loop for every point in the input list and add an `if` statement to check if the current point is not in the convex hull and add it if it's not.
• Add a `return` statement to the end of the `convex_hull_brute_force` function to return the convex hull.

## Sources

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