3D Geometric Segmentation Method based on the Point-normal Form Equation of a Plane

Dawen Zhang; Jiaxin Tian; Yusen Zhang; Yifei Nie; Yifei Chen; Kaili Wang

doi:10.6919/ICJE.202505_11(5).0041

Authors

Dawen Zhang
Jiaxin Tian
Yusen Zhang
Yifei Nie
Yifei Chen
Kaili Wang

DOI:

https://doi.org/10.6919/ICJE.202505_11(5).0041

Keywords:

3D Model; VTK; Geometric Center; Normal Vector; Plane Cutting.

Abstract

Under the background of rapid development of computer technology, mature 3D modeling technology and extensive application of 3 D model, the research of 3 D geometry cutting is of great significance. In this paper, the surface cutting method is adopted to determine the cutting plane based on the point method of the surface, the 3D geometric figure center is selected as the point, and the cutting plane equation is obtained by calculating the normal vector at a given Angle. Using the VTK function library, 3D geometry reading, cutting, after cutting graph data retention and translation separation are realized in Python, and then the cutting plane is displayed. Taking the planning of impacted third molar cutting path in dental medical images as an example, we verify the practicability and flexibility of the algorithm, which has application potential in many fields such as medical treatment and relic restoration.

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