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Area and Volume Calculation on 3D Objects (Models)

In this repository, we share two algorithms to calculate the surface area and volume of a specific subsection of a 3D model.

  • The first algorithm partitions the area/volume into smaller segmentations and applies raycasting to find the points on the face surface, and then finds an approximate measurement depending on the resolution selected. Please see AreaVolume-Raycast.js.

  • The second algorithm processes the 3D model file to compute the area and volume measurements for the selected region. Since the second algorithm considers every point in the model and therefore has the maximum possible precision. Please see AreaVolume-Mesh.js.

The area/volume boundaries is defined by a set of points on the 3D space.

We have tested these algorithms to calculate area and volume of regions on 3D facial scans. The code presented in the AreaVolume-Mesh.js file is implemented on the Face Analyzer tool at the Digitized Rhinoplasty website: https://digitized-rhinoplasty.com

This study has been published in IEEE Access, please use the following to cite:

  • O. Topsakal, P. Sawyer, T. C. Akinci and M. M. Celikoyar, "Algorithms to Measure Area and Volume on 3D Face Models for Facial Surgeries," in IEEE Access, vol. 11, pp. 39577-39585, 2023, doi: 10.1109/ACCESS.2023.3268174.