Geometric modeling
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Polygonization of implicit surfaces
Computer Aided Geometric Design
Mathematical elements for computer graphics (2nd ed.)
Mathematical elements for computer graphics (2nd ed.)
Sweeping of three-dimensional objects
Computer-Aided Design
Geometric representation of swept volumes with application to polyhedral objects
International Journal of Robotics Research
Real-time robot motion planning using rasterizing computer graphics hardware
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
An algorithm for planning collision-free paths among polyhedral obstacles
Communications of the ACM
Distance Field Manipulation of Surface Models
IEEE Computer Graphics and Applications
Using distance maps for accurate surface representation in sampled volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Extracting iso-valued features in 4-dimensional scalar fields
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Controlled perturbation for arrangements of polyhedral surfaces with application to swept volumes
SCG '99 Proceedings of the fifteenth annual symposium on Computational geometry
Modeling and rendering of weathered stone
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Virtual humans for validating maintenance procedures
Communications of the ACM - How the virtual inspires the real
Efficient estimation of 3D Euclidean distance fields from 2D range images
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
A Level-Set Approach for the Metamorphosis of Solid Models
IEEE Transactions on Visualization and Computer Graphics
Robust Creation of Implicit Surfaces from Polygonal Meshes
IEEE Transactions on Visualization and Computer Graphics
Simplification and Repair of Polygonal Models Using Volumetric Techniques
IEEE Transactions on Visualization and Computer Graphics
Fast swept volume approximation of complex polyhedral models
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Simulation of clothing with folds and wrinkles
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Nonconvex rigid bodies with stacking
ACM SIGGRAPH 2003 Papers
Simple and optimal output-sensitive construction of contour trees using monotone paths
Computational Geometry: Theory and Applications - Special issue on the 19th European workshop on computational geometry - EuroCG 03
A flexible 3D slicer for voxelization using graphics hardware
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Modeling and rendering of weathered stone
ACM SIGGRAPH 2006 Courses
Simulation of clothing with folds and wrinkles
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Using particles to sample and control more complex implicit surfaces
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Modeling and rendering of weathered stone
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Boundary of the volume swept by a free-form solid in screw motion
Computer-Aided Design
A general analytic approach for SantosTM upper extremity workspace
Computers and Industrial Engineering
Proceedings of the 2008 ACM symposium on Solid and physical modeling
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Simple and optimal output-sensitive construction of contour trees using monotone paths
Computational Geometry: Theory and Applications - Special issue on the 19th European workshop on computational geometry - EuroCG 03
Computer aided design of ventilation tubes for customized hearing aid devices
Computer-Aided Design
Conservative swept volume boundary approximation
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Novel geometrical voxelization approach with application to streamlines
Journal of Computer Science and Technology
Configuration products and quotients in geometric modeling
Computer-Aided Design
High accuracy NC milling simulation using composite adaptively sampled distance fields
Computer-Aided Design
A selective refinement approach for computing the distance functions of curves
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
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Swept surfaces and volumes are generated by moving a geometric model through space. Swept surfaces and volumes are important in many computer-aided design applications including geometric modeling, numerical cutter path generation, and spatial path planning. In this paper we describe a numerical algorithm to generate swept surfaces and volumes using implicit modeling techniques. The algorithm is applicable to any geometric representation for which a distance function can be computed. The algorithm also treats degenerate trajectories such as self-intersection and surface singularity. We show applications of this algorithm to maintainability design and robot path planning.