In-Place Image Rotation Using Super-Pixel Garlands
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Solution Overview
Problem
Image rotation in computer systems typically requires two image buffers, consuming significant memory and being impractical for low-memory systems like portable devices.
Innovation Solution
The method involves shuffling pixels within a single image buffer to achieve image rotation without the need for a second buffer, utilizing the concept of 'garlands' to reorganize pixels in place, reducing memory requirements and enabling rotation in low-memory systems.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If two image buffers are used for image rotation, then the rotation operation can be performed, but the memory requirement increases significantly
Solution Approach 1:
The image is divided into multiple smaller blocks (e.g., 4x4 pixel blocks) that can be processed independently. Each block is rotated using a dedicated rotation function, allowing the entire image rotation to be performed using a single buffer by processing blocks in sequence. This segmentation enables in-place rotation without requiring a second buffer for the complete image.
Solution Approach 2:
The patent introduces a block-level dimension to the rotation process, treating each block as a unit of rotation rather than processing individual pixels or the entire image at once. This dimensional change at the block level enables the rotation operation to be performed in-place within a single buffer, reducing memory requirements while maintaining rotation functionality.
2Quantity of substance
If a single image buffer is used for in-place rotation, then memory requirement is reduced, but the complexity of the rotation operation increases
Solution Approach 1:
By segmenting the image into smaller blocks, the complex in-place rotation operation is broken down into simpler, manageable rotation functions that operate on individual blocks. Each block rotation is a simpler operation that can be performed in-place, and the overall complexity is managed through the systematic processing of multiple blocks rather than attempting to rotate the entire image at once.
3Quantity of substance
If pixels are shuffled in their original memory locations to achieve rotation, then only one buffer is needed, but the shuffling operation becomes more complex
Solution Approach 1:
The pixel shuffling operation is segmented by processing pixels in blocks rather than individually across the entire image. Each block's pixels are shuffled and rotated as a unit, which simplifies the shuffling operation compared to managing pixel movements across the entire image buffer. The block-based approach provides a structured method for in-place shuffling that reduces overall complexity.
Data Source
AI summary
Rotation in the storage domain is a one-one function with the domain equal to the range. This permits an image to be rotated in place. Each image size implies at least one garland of closed chains of tiles. Each image includes a spanning set of these garlands. Rotation in place moves each pixel to the next location on its garland. On completion of a garland by return to the initial tile, tiles on the next garland are moved. Image rotation is complete after all the garlands have been traversed. This invention first linearized the two-dimensional tiles sliding into groups of super-pixels at contiguous locations above the image buffer. The tiles are rotated in place. The shuffled tiles are delinearized into rectangular blocks and then re-pitched if needed.