Two moving coordinate frames for sweeping along a 3D trajectory
Computer Aided Geometric Design
Fast and accurate parametric curve length computation
Journal of Graphics Tools
Shape Blending Using the Star-Skeleton Representation
IEEE Computer Graphics and Applications
Self-intersection avoidance and integral properties of generalized cylinders
Computer Aided Geometric Design
A note on morphological development and transformation of Bézier curves based on ribs and fans
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Medical Robotics: State-of-the-Art Applications and Research Challenges
International Journal of Healthcare Information Systems and Informatics
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For generalized cylinders (GC) defined by contours of discrete curves, we propose two algorithms to generate GC surfaces (1) in polygonal meshes and (2) in developable surface patches of the cylindrical type. To solve the contour blending problem of generalized cylinder, the presented algorithms have adopted the algorithms and properties of linear interpolation by direction map (LIDM) that interpolate geometric shapes based on direction map merging and group scaling operations. Moreover, we propose an algorithm to develop generated developable surface patches on a plane. Proposed algorithms are fast to compute and easy to implement.