SWEPT VOLUMES: FUNDATION, PERSPECTIVES, AND APPLICATIONS

DOI10.1142/S0218654306000858zbMath1096.68753OpenAlexW1993827762MaRDI QIDQ5484800

Ken Joy, Karim Abdel-Malek, Jingzhou (James) Yang, D. L. Blackmore

Publication date: 21 August 2006

Published in: International Journal of Shape Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218654306000858

zbMATH Keywords

solid modelingworkspace analysisswept volumesNC verification

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items

Infinitesimal bending influence on the volume change ⋮ An efficient analytical model for the swept volume generation of a flat-end mill in 5-axis CNC milling ⋮ Topology optimization design of graded infills for 3D curved volume by a conformal sweeping method ⋮ Envelope computation in the plane by approximate implicitization ⋮ Trimming self-intersections in swept volume solid modeling ⋮ Space-Time Matching Algorithms for Interest Management in Distributed Virtual Environments ⋮ Approximate swept volumes of NURBS surfaces or solids

Cites Work

• Unnamed Item
• On swept volume formulations: implicit surfaces
• An algebraic algorithm to compute the exact general sweep boundary of a 2D curved object
• A marching method for parametric surface/surface intersection
• Bernstein-Bézier representation of volumes
• Optimum positioning of moving service facility
• Surface/surface intersection
• Loop detection in surface patch intersections
• Tracing surface intersections
• Analysis and modelling of deformed swept volumes
• Multiple sweeping using the Denavit-Hartenberg representation method.
• Rational motion-based surface generation.
• Trimming swept volumes.
• Modeling the surface swept by a generalized cutter for NC verification.
• Tighter convex hulls for rational Bézier curves
• Sweeping of three-dimensional objects
• Discrete simulation of NC machining
• Approximate swept volumes of NURBS surfaces or solids
• On the Workspace of General 4R Manipulators
• Implicit representation of parametric curves and surfaces
• UTILIZING PARAMETRIC HYPERPATCH METHODS FOR MODELING AND DISPLAY OF FREE-FORM SOLIDS
• Feature-based design by volumetric machining features
• Recognition of interacting rotational and prismatic machining features from 3-D mill-turn parts
• Errata: Maintenance of Geometric Representations Through Space Decompositions