ACM Transactions on Graphics (TOG)
Geometric representation of swept volumes with application to polyhedral objects
International Journal of Robotics Research
Analysis of swept volume via Lie groups and differential equations
International Journal of Robotics Research
Computing rational parametrizations of canal surfaces
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
UNSWEEP: formulation and computational properties
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Twister: a space-warp operator for the two-handed editing of 3D shapes
ACM SIGGRAPH 2003 Papers
Bender: a virtual ribbon for deforming 3D shapes in biomedical and styling applications
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Geometric Modeling
Boundary of the volume swept by a free-form solid in screw motion
Computer-Aided Design
Geometric Modeling for Swept Volume of Moving Solids
IEEE Computer Graphics and Applications
Set Membership Classification: A Unified Approach to Geometric Intersection Problems
IEEE Transactions on Computers
ScrewBender: Smoothing Piecewise Helical Motions
IEEE Computer Graphics and Applications
Approximate swept volumes of NURBS surfaces or solids
Computer Aided Geometric Design
3D ball skinning using PDEs for generation of smooth tubular surfaces
Computer-Aided Design
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A tube is a solid bounded by the union of a one-parameter family of circles that may be decomposed into canal-surfaces and planar disks or annuli. A screw-sweep is the region swept by a shape during a screw motion. HelSweeper computes the boundary of a screw-sweep of an arbitrary union of tubes and polyhedra. To do so, it generates a superset of faces, splits them at their intersections, and selects the face portions that form the desired boundary. The novelty of the proposed approach lies in the fact that the faces contributed to this superset by a tube are each a screw-sweeps of a rigid curve (generator), which is the locus of grazing points, and that each grazing point is formulated as the intersection of a circle of the tube with a corresponding screw-plane. Hence, each such face is a one-parameter family of helices, each being the screw-sweep of a grazing point.