Patient-Specific Mandibular Contact Surface Quad Mesh Generation using B-Splines
B-Spline을 통한 환자 맞춤형 하악 접촉면 사각 메쉬 자동 생성

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공과대학 컴퓨터공학부
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서울대학교 대학원
학위논문 (석사)-- 서울대학교 대학원 : 공과대학 컴퓨터공학부, 2018. 8. 김명수.
With the development and maturation of computer graphics in the medical field, the combination of CAD/CAE technology and CT reconstruction technology has gradually infiltrated into various medical research areas in recent years. Human's jaw bones have complex shapes and irregularities. It is thus challenging to do orthodontics treatment through only theoretical analysis. Moreover, dental diagnosis and treatment require accurate simulation of the jaw movement. In this work, we apply the CAD/CAE technology to CT human medical data so as to accurately perform 3D simulation and analyse human's mandibular movement.

In computer graphics, polygonal meshes are popular representation for geometry modeling. While triangle meshes have been used in many geometric modeling applications, quad meshes have better performance in collision detection with its regular structure. Furthermore, they have been successfully used in many applications such as surface analysis, simplification, adaptive refinement, feature alignment, parameterization, and re-meshing. In this thesis, we propose a quad mesh generation method for patient-specific mandibular movement contact surface and assist the simulation of mandibular movement.

First of all, from patient's medical skull CT data, triangle mesh models are generated. For this purpose, we use image processing technology to improve the quality of CT data, and extract the triangular mesh model of the contact part in mandibular movement(Temporomandibular Joint (TMJ) head, Tubercle, and Fossa). Using these triangle mesh models, we construct B-spline quad mesh approximate the generated models. Here we choose a sweep surface method, and slice each model into several pieces, and then calculate the intersection points between mesh data and the slicing plane. Finally, we approximate the intersection points with B-spline curves and merge them to generate a B-spline surface. The final quad mesh is then applied to the analysis of mandibular movement. Overall, the B-spline quad meshes not only compress the original triangular meshes, but also the regular structure makes collision detection more efficient.
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Computer Science and Engineering (컴퓨터공학부)Theses (Master's Degree_컴퓨터공학부)
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