Design techniques for the definition of solid objects with free-form geometry
Explore this paper's citation graph
Summary
The present paper classifies free-form surfaces into four categories for design purposes, depending on the degree of geometric constraint involved in their definition, as well as suggesting techniques suitable for use in solid modellers.
- Type
- article
- Published
- 1984-12-01
- Cited by
- 49
- References
- 29
- OpenAlex
- https://openalex.org/W2075004842
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:39574938
Keywords
Free form, Solid geometry, Mathematics, Geometric design, Surface (topology)
References
- Non-Rectangular Surface Patches Suitable for Inclusion in a B-Spline Surface
- Designing with volumes
- SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
- Computational Geometry for Design and Manufacture
- GMSolid: Interactive Modeling for Design and Analysis of Solids
- Some mathematical tools for a modeler's workbench
- PADL-2: A Technical Summary
- Synthesis of volume modelling and sculptured surfaces in BUILD
- Multivariable Curve Interpolation
- Recursively generated B-spline surfaces on arbitrary topological meshes
- Essays on the cyclide patch
- Extending Solid Modeling Systems for Mechanism Design and Kinematic Simulation
- Ray tracing objects defined by sweeping a sphere
- Design of solids with free-form surfaces
- Ray Tracing Objects Defined by Sweeping a Sphere.
- Representation and Approximation of Surfaces
- Principal Patches -a New Class of Surface Patch Based on Differential Geometry
- Smooth interpolation without twist constraints
- B-SPLINE CURVES AND SURFACES
- Introducing Sculptured Surfaces into a Geometric Modeler
Cited by
- Modélisation géométrique de bifurcations
- Efficient and accurate boundary evaluation algorithms for boolean combinations of sculptured solids
- Free-form deformation in a constructive solid geometry modeling system
- Solid modelling with faceted primitives
- Connecting arbitrary surfaces under geometric constraints
- Extended octtree representation of free form surfaces
- Extensions of sweep surface constructions
- Some strategies related to the development of a CAD/CAM system for mechanical products based on solid modeling techniques
- A feature-based approach for smooth surfaces
- Utilizing parametric hyperpatch methods for modeling and display of free-form solids
- Single-valued surfaces in cylindrical coordinates
- A Geometric Modeller Based on the Exact Octtree Representation of Polyhedra
- An efficient human model customization method based on orthogonal-view monocular photos
- Sculptured Surfaces in Solid Models: Issues and Alternative Approaches
- Decomposition of complex geometry for a manufacturing application
- Topological models for boundary representation: a comparison with n-dimensional generalized maps
- Determining feasible tool-approach directions for machining Bézier curves and surfaces
- Boolean operations between solids and surfaces by octrees: models and algorithms
- Compound surface modelling and machining
- Software for robotic simulation
Related papers
- Hierarchical Geometric Constraint Model for Parametric Feature Based Modeling
- Hierarchical geometric constraint model for parametric feature based modeling
- Free-form deformation in a constructive solid geometry modeling system
- Geomap-III: Designing Solids With Free-Form Surfaces
- Uniform B-Spline Curve and Surface with Shape Parameters
- Applications of Laguerre geometry in CAGD
- Sculptured Surfaces in Solid Models: Issues and Alternative Approaches
- VOLUMETRIC GEOMETRIC MODEL AND INTERIOR VISUALIZATION OF SOME SOLID OBJECTS