Skinning techniques for interactive B-spline surface interpolation
Computer-Aided Design
Visualization of swept hyperpatch solids
CG International '92 Proceedings of the 10th International Conference of the Computer Graphics Society on Visual computing : integrating computer graphics with computer vision: integrating computer graphics with computer vision
Analysis of swept volume via Lie groups and differential equations
International Journal of Robotics Research
Approximate general sweep boundary of a 2D curved object
CVGIP: Graphical Models and Image Processing
Dynamic NURBS with geometric constraints for interactive sculpting
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
The NURBS book
Swept volume: a retrospective and prospective view
Neural, Parallel & Scientific Computations - computer aided geometric design
Procedurally Representing Lofted Surfaces
IEEE Computer Graphics and Applications
Boundary Determination for Trivariate Solids
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
A Control-Point-Based Sweeping Technique
IEEE Computer Graphics and Applications
Rational B-Splines for Curve and Surface Representation
IEEE Computer Graphics and Applications
Trimming for subdivision surfaces
Computer Aided Geometric Design
Mathematical representation of the vascular structure and applications
Proceedings of the 2007 ACM symposium on Solid and physical modeling
An approach to integrating shape and biomedical attributes in vascular models
Computer-Aided Design
Boundary of the volume swept by a free-form solid in screw motion
Computer-Aided Design
Journal of Computational and Applied Mathematics
HelSweeper: Screw-sweeps of canal surfaces
Computer-Aided Design
The calculation of parametric NURBS surface interval values using neural networks
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
An optimization approach for constructing trivariate B-spline solids
Computer-Aided Design
| Hi-index | 0.00 |
This paper presents a method of determining the approximate swept volume of Non-Uniform Rational B-Spline (NURBS) surfaces or solids. The method consists of (1) slicing the NURBS surfaces or solids by finding the intersection of plane/surface; (2) forming the sliced curves; (3) setting up the local moving coordinate system; (4) determining the characteristic (also called singular) points or curves by obtaining local maxima points at discrete frames during motion and with respect to a local moving coordinate system; (5) fitting each NURBS singular surface; (6) trimming the singular surfaces to obtain the boundary of the final approximate swept volumes by the surface/surface intersection and perturbation method. The local moving coordinate system is set up in reference to the motion direction of the rigid body as determined from its composite velocity vector. This work aims to develop a rigorous method for identifying and visualizing the approximate swept volume generated as a result of sweeping a NURBS surface or solid. The method and numerical algorithm are illustrated through examples.