Journal Article10.48550/arXiv.2303.08061
Point Cloud Diffusion Models for Automatic Implant Generation
TL;DR: In this paper , a combination of 3D point cloud diffusion models and voxelization networks is proposed for implant generation based on a stochastic sampling process in their diffusion model, from which the physicians can choose the most suitable one.
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Abstract: Advances in 3D printing of biocompatible materials make patient-specific implants increasingly popular. The design of these implants is, however, still a tedious and largely manual process. Existing approaches to automate implant generation are mainly based on 3D U-Net architectures on downsampled or patch-wise data, which can result in a loss of detail or contextual information. Following the recent success of Diffusion Probabilistic Models, we propose a novel approach for implant generation based on a combination of 3D point cloud diffusion models and voxelization networks. Due to the stochastic sampling process in our diffusion model, we can propose an ensemble of different implants per defect, from which the physicians can choose the most suitable one. We evaluate our method on the SkullBreak and SkullFix datasets, generating high-quality implants and achieving competitive evaluation scores.
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Figures

Fig. 1. Proposed implant generation method with shape reconstruction in point cloud space. The implant geometry I is defined as the Boolean subtraction between completed output Sc and defective input Sd in voxel space. 
Table 1. Architecture of the proposed point cloud diffusion model. The input point cloud is subsequently passed through SA1-4, FP1-4 and a MLP. Time embedding is concatenated to the point features in front of every SA & FP block. 
Fig. 3. Different implants, mean implant and variance map for a single skull defect. 
Fig. 5. Results of our method for the five defect classes of the SkullBreak dataset. 
Fig. 6. Different implants, mean implant and variance map for a single skull defect. 
Fig. 2. Conditional diffusion model for anatomy reconstruction in point cloud space. Points belonging to the defective anatomical structure c0 are shown in color and remain unchanged throughout the whole process. The forward and reverse diffusion processes therefore only affect the gray points x̃0:T belonging to the implant.
Citations
MedShapeNet - A Large-Scale Dataset of 3D Medical Shapes for Computer Vision
Jianning Li,Antonio Pepe,Christina Gsaxner,Gijs Luijten,Yuan Jin,Narmada Ambigapathy,Enrico Nasca,Naida Solak,Gianluca Melito,Afaque Rafique Memon,Xiaojun Chen,Jan Stefan Kirschke,E. D. L. Rosa,Patrich Ferndinand Christ,Hongwei Li,David G. Ellis,Michele R. Aizenberg,Sergios Gatidis,T Kuestner,Nadezhda P. Shusharina,Nicholas Heller,Vincent Andrearczyk,Adrien Depeursinge,Mathieu Hatt,Anjany Sekuboyina,Maximilian Loeffler,Hans Liebl,Reuben Dorent,Tom Vercauteren,Jonathan Shapey,Aaron Kujawa,S. Cornelissen,P. Langenhuizen,Achraf Ben-Hamadou,Ahmed Rekik,Sergi Pujades,Edmond Boyer,Federico Bolelli,Costantino Grana,Luca Lumetti,H. Salehi,Junlin Ma,Yao Zhang,Ramtin Gharleghi,Susann Beier,Eduardo A. Garza-Villarreal,Thania Balducci,Diego Angeles-Valdez,Roberto Souza,Leticia Rittner,Richard Frayne,Yuanfeng Ji,Soumick Chatterjee,A. Nuernberger,João Pedrosa,Carlos Arthur Ferreira,Guilherme Aresta,António Cunha,Aurélio Campilho,Yannick Suter,José Aznarez García,Alain Lalande,Emmanuel Audenaert,Claudia Krebs,T. V. Leeuwen,Evie Vereecke,Rainer Roehrig,F. Hoelzle,Vahid Badeli,Kathrin Krieger,Matthias Gunzer,Jianxu Chen,Amin Dada,M. Balzer,Jana Fragemann,F. Jonske,Moritz Rempe,Stanislav Malorodov,Fin Bahnsen,Constantin Seibold,A. Jaus,Ana Sofia Santos,M. Lindo,André Paulo Ferreira,V. Alves,Michael Kamp,Amr U Abourayya,Felix Nensa,Fabian Hoerst,Alexandra Brehmer,Lukas Heine,Lars Erik Podleska,Mathias Fink,J. Keyl,Konstantinos Tserpes,Moon-Sung Kim,Shireen Y. Elhabian,Hans Lamecker,Dzenan Zukic,Beatriz Paniagua,Christian Wachinger,Martin Urschler,Luc Duong,Jakob Wasserthal,Peter F. Hoyer,Oliver Basu,Thomas J.J. Maal,Max J. H. Witjes,Pingshan Luo,Bjoern H. Menze,Mauricio Reyes,Christos Davatzikos,Behrus Puladi,Jens Kleesiek,Jan Egger +114 more
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