Floodfill Algorithm Explained: All You Need to Know with Code Samples

Photo by Kelly Sikkema on UnsplashHow Does Floodfill Algorithm Work?Floodfill algorithm is a technique used to fill a connected area in an image or a matrix with a particular color or pattern. It starts from a given point and traverses the adjacent pix…


This content originally appeared on Level Up Coding - Medium and was authored by Tarek

Photo by Kelly Sikkema on Unsplash

How Does Floodfill Algorithm Work?

Floodfill algorithm is a technique used to fill a connected area in an image or a matrix with a particular color or pattern. It starts from a given point and traverses the adjacent pixels or cells, coloring them as it goes, until it reaches the boundary of the area or encounters a barrier that prevents further filling.

Is Floodfill a BFS or DFS Algorithm?

Floodfill algorithm can be implemented using both BFS (Breadth-First Search) and DFS (Depth-First Search) approaches.

DFS is implemented recursively, and it uses a stack to keep track of the visited pixels or cells. When a pixel or cell is visited, its neighboring pixels or cells are recursively visited in a depth-first manner until the entire area is filled. Here is an example of a recursive DFS implementation of Floodfill algorithm:

def floodfill_dfs_recursive(image, row, col, fill_color, old_color):
if row < 0 or col < 0 or row >= len(image) or col >= len(image[0]):
return
if image[row][col] != old_color:
return
image[row][col] = fill_color
floodfill_dfs_recursive(image, row + 1, col, fill_color, old_color)
floodfill_dfs_recursive(image, row - 1, col, fill_color, old_color)
floodfill_dfs_recursive(image, row, col + 1, fill_color, old_color)
floodfill_dfs_recursive(image, row, col - 1, fill_color, old_color)

BFS, on the other hand, uses a queue to keep track of the visited pixels or cells. When a pixel or cell is visited, its neighboring pixels or cells are added to the queue, and they are visited in a breadth-first manner until the entire area is filled. Here is an example of a BFS implementation of Floodfill algorithm:

def floodfill_bfs(image, row, col, fill_color, old_color):
queue = [(row, col)]
while queue:
row, col = queue.pop(0)
if row < 0 or col < 0 or row >= len(image) or col >= len(image[0]):
continue
if image[row][col] != old_color:
continue
image[row][col] = fill_color
queue.append((row + 1, col))
queue.append((row - 1, col))
queue.append((row, col + 1))
queue.append((row, col - 1))

When to Use BFS and When to Use DFS for FloodFill?

BFS and DFS implementations have their own advantages and disadvantages, and the choice of algorithm depends on the specific requirements and constraints of the application.

DFS is generally preferred when memory usage is a concern, as it can be implemented recursively, which means that it does not require a separate data structure to keep track of the visited pixels or cells. However, DFS can potentially cause a stack overflow error if the recursion depth becomes too large.

BFS, on the other hand, requires a separate data structure to keep track of the visited pixels or cells, which means that it uses more memory compared to DFS. Note that the amount of memory used by DFS is proportional to the maximum recursion depth though, meaning that in worst case the memory of DFS will be the same as BFS. Another consideration, BFS is generally faster than DFS in finding the shortest path to the boundary of the area, which can be useful in certain applications.

In summary, if memory usage is a concern, DFS is a better choice for implementing Floodfill algorithm. On the other hand, if finding the shortest path to the boundary of the area is important, BFS is a better choice. However, it’s worth noting that both algorithms can be used interchangeably in most cases, and the choice of algorithm ultimately depends on the specific requirements and constraints of the application.

What Is a Real Life Example of Flood Fill Algorithm?

One real-life example of Flood fill algorithm is in geographic information systems (GIS), where it is used to calculate the area of a land parcel or to identify the extent of a particular geographical feature.

For example, in a GIS application, the flood fill algorithm can be used to calculate the area of a forest or agricultural land by filling the area with a specific color and then counting the number of pixels filled. This can help in estimating the amount of timber that can be harvested or the crop yield that can be expected from a particular field.

Another example of a real-life application of the flood fill algorithm is in image processing. Flood fill can be used to implement various image processing operations, such as color replacement, segmentation, and boundary tracing.

For example, flood fill can be used to remove or replace a specific color from an image by filling the entire region of pixels that have that color. This can be useful for removing background colors or replacing colors in specific areas of the image. Additionally, flood fill can be used to segment the image into regions based on color similarity, which is useful for identifying objects or features in the image.

What Are the Advantages of Flood Fill Algorithm?

One of the most significant advantages of the algorithm is its simplicity. The algorithm is relatively straightforward and easy to implement, making it an accessible option for developers with different levels of programming experience.

Another advantage of the flood fill algorithm is its ability to efficiently fill enclosed areas. By traversing a matrix or grid in a recursive or iterative manner, the algorithm can fill an enclosed area with a specified color or pattern quickly and accurately. This makes it an ideal solution for applications such as image editing or coloring where precise and efficient filling of enclosed areas is required.

Furthermore, the flood fill algorithm can be easily modified and extended to meet the specific requirements of different applications. For example, by using different boundary conditions, the algorithm can be modified to fill non-rectangular or irregularly shaped areas. Additionally, the algorithm can be used in conjunction with other image processing techniques such as edge detection or color quantization to produce more complex and sophisticated results.

What Are the Disadvantages of Flood Fill Algorithm?

Firstly, DFS implementation can run into stack overflow errors if the recursion depth becomes too large, which can cause the algorithm to fail.

Secondly, BFS implementation requires additional memory usage to keep track of the visited pixels or cells, which can be a constraint in applications with limited memory.

What is the complexity of flood-fill algorithm?

The Flood-fill algorithm’s time complexity can be analyzed by considering the number of pixels or cells that need to be visited. In the worst-case scenario, if all the pixels in the area need to be filled, the algorithm will visit each pixel once, resulting in O(n*m) time complexity.

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Floodfill Algorithm Explained: All You Need to Know with Code Samples was originally published in Level Up Coding on Medium, where people are continuing the conversation by highlighting and responding to this story.


This content originally appeared on Level Up Coding - Medium and was authored by Tarek


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