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importantSYS.SOURCE: Alyssa Rosenzweig's Blog• 2026-08-28T09:00:46Z

Efficient Volume Calculation for 3D Meshes Using the Divergence Theorem

This article presents an efficient algorithm for computing the volume of a 3D mesh using the divergence theorem, converting the volume integral into a surface integral over triangles. The method achieves O(n) time complexity with 11n floating-point operations, enabling fast volume calculations even on low-power hardware.

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