Shape Recognition in AI Systems

How do you measure a circle, without using π, and entirely in pixels?

We proudly present the latest addition to the Geometric Ratio Model (GRM) project:
“Pixel-Based Ratio Measurement with the GRM Model” – a practical application proposal building on the original GRM whitepaper.

At the heart of this paper lies a simple but powerful idea: by counting pixels within a square, you can recognize and measure geometric shapes—faster, simpler, and more naturally aligned with digital systems. This approach makes GRM ideally suited for use in AI, medical imaging, educational software, and digital quality control.

This proposal explains:

• Why traditional geometry based on π and r does not fit digital environments;
• How GRM uses fixed ratios (like 0.7854 for a circle) to classify shapes;
• How pixel ratios become a direct, scalable, and explainable measurement method;
• And how the method can already be integrated into existing digital workflows.

Who is this for?
Developers working on computer vision, medical AI, educational tools, industrial inspection systems, or anyone who thinks digitally about geometry.

Published:

• version 1.0 May 4, 2025 | Language: English | Pages: 12