Image Rotation Matrix

Apply rotation transformation using rotation matrix mathematics. See the 2x2 rotation matrix in action and understand the trigonometric principles behind image rotation.

Click to upload file or drag and drop file here

Maximum file size: 10MB Supported formats: image/jpeg, image/png, image/webp, image/gif, image/bmp, image/tiff

Upload any image file (JPEG, PNG, WebP, GIF, BMP, TIFF) for rotation matrix transformation

-180 45 180

Rotation angle in degrees (-180 to 180, 0 = no rotation). Positive = clockwise, negative = counter-clockwise

Background color for transparent areas (hex #RRGGBB or #RRGGBBAA, or color name)

Choose output format or keep original. PNG recommended for transparency

Output quality for lossy formats (JPEG, WebP). Higher = better quality but larger file size

Key Facts

Category
Images, Audio & Video
Input Types
file, range, text, select, number
Output Type
file
Sample Coverage
4
API Ready
Yes

Overview

The Image Rotation Matrix tool allows you to precisely rotate images using linear algebra and trigonometric principles. By applying a 2x2 rotation matrix, you can achieve exact angular adjustments for your digital assets while maintaining control over background transparency and output quality.

When to Use

  • •Correcting the orientation of images captured at non-standard angles.
  • •Applying precise geometric transformations for graphic design or technical documentation.
  • •Standardizing image assets by rotating them to a specific degree while preserving transparency.

How It Works

  • •Upload your image file in any supported format like PNG, JPEG, or WebP.
  • •Set the desired rotation angle in degrees, where positive values rotate clockwise and negative values rotate counter-clockwise.
  • •Configure optional settings such as background color for empty areas and output file format.
  • •Process the image to apply the rotation matrix transformation and download your result.

Use Cases

Aligning scanned documents that were captured at a slight tilt.
Creating rotated UI elements for web design projects.
Batch-processing images to a specific orientation for consistent gallery layouts.

Examples

1. Correcting Tilted Scanned Document

Archivist
Background
A collection of historical documents was scanned at a slight 3-degree tilt, making them difficult to read.
Problem
The documents need to be perfectly horizontal for archival standards.
How to Use
Upload the scanned image and set the rotation angle to -3 degrees to counteract the tilt.
Example Config
angle: -3, format: original
Outcome
The document is perfectly leveled, restoring readability for the archive.

2. Preparing Web Graphics

Web Designer
Background
A product icon needs to be rotated 45 degrees clockwise to fit a new layout design.
Problem
The icon has a transparent background that must be preserved during rotation.
How to Use
Upload the PNG icon, set the angle to 45, and ensure the background is set to transparent.
Example Config
angle: 45, background: transparent, format: png
Outcome
A perfectly rotated icon with a clean transparent background ready for web deployment.

Try with Samples

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Web Image Processing Rust Samples
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FAQ

How does the rotation matrix work?

The tool uses a 2x2 rotation matrix based on sine and cosine functions to calculate the new coordinates for every pixel in your image relative to the center point.

Can I keep the background transparent?

Yes, by setting the background color option to 'transparent' and choosing PNG as your output format, you can preserve transparency in the areas created by the rotation.

What is the maximum rotation angle?

You can rotate images between -180 and 180 degrees.

Does rotating an image affect its quality?

Rotating an image involves pixel interpolation. Using a high quality setting (up to 100) for lossy formats like JPEG or WebP helps minimize visual artifacts.

Which file formats are supported?

You can upload JPEG, PNG, WebP, GIF, BMP, and TIFF files.

API Documentation

Request Endpoint

POST /en/api/tools/image-rotation-matrix

Request Parameters

Parameter Name Type Required Description
imageFile file (Upload required) Yes Upload any image file (JPEG, PNG, WebP, GIF, BMP, TIFF) for rotation matrix transformation
angle range Yes Rotation angle in degrees (-180 to 180, 0 = no rotation). Positive = clockwise, negative = counter-clockwise
background text No Background color for transparent areas (hex #RRGGBB or #RRGGBBAA, or color name)
format select No Choose output format or keep original. PNG recommended for transparency
quality number No Output quality for lossy formats (JPEG, WebP). Higher = better quality but larger file size

File type parameters need to be uploaded first via POST /upload/image-rotation-matrix to get filePath, then pass filePath to the corresponding file field.

Response Format

{
  "filePath": "/public/processing/randomid.ext",
  "fileName": "output.ext",
  "contentType": "application/octet-stream",
  "size": 1024,
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}
File: File

AI MCP Documentation

Add this tool to your MCP server configuration: 

{
  "mcpServers": {
    "elysiatools-image-rotation-matrix": {
      "name": "image-rotation-matrix",
      "description": "Apply rotation transformation using rotation matrix mathematics. See the 2x2 rotation matrix in action and understand the trigonometric principles behind image rotation.",
      "baseUrl": "https://elysiatools.com/mcp/sse?toolId=image-rotation-matrix",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

You can chain multiple tools, e.g.: `https://elysiatools.com/mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp`, max 20 tools.

Supports URL file links or Base64 encoding for file parameters.

If you encounter any issues, please contact us at [email protected]