Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Approximation of circular arcs by cubic polynomials
Computer Aided Geometric Design
Continuous skeleton computation by Voronoi diagram
CVGIP: Image Understanding
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
Computers and Biomedical Research
Filling polygonal holes with bicubic patches
Computer Aided Geometric Design
Building skeleton models via 3-D medial surface/axis thinning algorithms
CVGIP: Graphical Models and Image Processing
The NURBS book
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
An interactive cerebral blood vessel exploration system
VIS '97 Proceedings of the 8th conference on Visualization '97
Adaptive Real-Time Level-of-Detail-Based Rendering for Polygonal Models
IEEE Transactions on Visualization and Computer Graphics
Mesh quality oriented 3D geometric vascular modeling based on parallel transport frame
Computers in Biology and Medicine
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In this paper, three-dimensional modeling of vascular networks is described. We propose a constructive approach to generating vascular segments and bifurcations using sweeping and blending operations. This allows smooth connection of individual branching segments at the vascular bifurcations. A tangential continuity or visual smooth (e.g. GC1) representation of the vascular network is derived to formulate constructive algorithms for vascular modeling. The vascular modeling technique developed is applied in our medical simulation system for the training and pretreatment planning of minimally invasive vascular surgery using catheterization procedure.