关键词: 三维骨骼模型, 网格模型平均化, 三维配准, 网格变形, 聚类分析

Abstract: As a common medical equipment to fix fractured bones, bone plate is supposed to be closely fit with bones. However, until now, the designs of bone plates are mostly based on clinical experience, or just take a few bone geometries as references, which cannot be tightly fit with bones and does not meet most patients’ requirements. In this paper, an approach to obtain a series of “average bones” from the 3D model set of the bones is proposed, which lays a foundation for serial design of bone plates. The approach first adopts Coherent Point Drift non-rigid registration algorithm and Laplacian-coordinate-based mesh deformation algorithm, re-meshing the bone-data to be topology-consistent, and then process by principal component analysis and cluster analysis. Experiments results show that bone plates, manufactured in accordance with such series of “average bones”, can significantly better fit the broken bones, and meet the requirements of practical application.

Key words: 3D bone model, mesh model uniformity, 3D registration, mesh deformation, cluster analysis