Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
An implicit surface polygonizer
Graphics gems IV
Constrained optimal framings of curves and surfaces using quaternion Gauss maps
Proceedings of the conference on Visualization '98
Visualization and interaction techniques for the exploration of vascular structures
Proceedings of the conference on Visualization '01
Quaternion Frame Approach to Streamline Visualization
IEEE Transactions on Visualization and Computer Graphics
A Realistic Model of the Inner Organs from the Visible Human Data
MICCAI '00 Proceedings of the Third International Conference on Medical Image Computing and Computer-Assisted Intervention
Region-Growing Based Feature Extraction Algorithm for Tree-Like Objects
VBC '96 Proceedings of the 4th International Conference on Visualization in Biomedical Computing
Constructive modeling of G1 bifurcation
Computer Aided Geometric Design
Advances in Engineering Software
CGI '04 Proceedings of the Computer Graphics International
Real-Time Illustration of Vascular Structures
IEEE Transactions on Visualization and Computer Graphics
3D Reconstruction of Cerebral Blood Vessels
IEEE Computer Graphics and Applications
Computer aided design of ventilation tubes for customized hearing aid devices
Computer-Aided Design
Identification of Spring Parameters for Deformable Object Simulation
IEEE Transactions on Visualization and Computer Graphics
Visualization of anatomic tree structures with convolution surfaces
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
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While a number of methods have been proposed to reconstruct geometrically and topologically accurate 3D vascular models from medical images, little attention has been paid to constantly maintain high mesh quality of these models during the reconstruction procedure, which is essential for many subsequent applications such as simulation-based surgical training and planning. We propose a set of methods to bridge this gap based on parallel transport frame. An improved bifurcation modeling method and two novel trifurcation modeling methods are developed based on 3D Bezier curve segments in order to ensure the continuous surface transition at furcations. In addition, a frame blending scheme is implemented to solve the twisting problem caused by frame mismatch of two successive furcations. A curvature based adaptive sampling scheme combined with a mesh quality guided frame tilting algorithm is developed to construct an evenly distributed, non-concave and self-intersection free surface mesh for vessels with distinct radius and high curvature. Extensive experiments demonstrate that our methodology can generate vascular models with better mesh quality than previous methods in terms of surface mesh quality criteria.