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- Geometric_design abstract "Geometric design (GD), also known as geometric modelling, is a branch of computational geometry. It deals with the construction and representation of free-form curves, surfaces, or volumes. Core problems are curve and surface modelling and representation. GD studies especially the construction and manipulation of curves and surfaces given by a set of points using polynomial, rational, piecewise polynomial, or piecewise rational methods. The most important instruments here are parametric curves and parametric surfaces, such as Bézier curves, spline curves and surfaces. An important non-parametric approach is the level set method.Application areas include shipbuilding, aircraft, and automotive industries, as well as architectural design. The modern ubiquity and power of computers means that even perfume bottles and shampoo dispensers are designed using techniques unheard of by shipbuilders of 1960s.Geometric models can be built for objects of any dimension in any geometric space. Both 2D and 3D geometric models are extensively used in computer graphics. 2D models are important in computer typography and technical drawing. 3D models are central to computer-aided design and manufacturing, and many applied technical fields such as geology and medical image processing.Geometric models are usually distinguished from procedural and object-oriented models, which define the shape implicitly by an algorithm. They are also contrasted with digital images and volumetric models; and with implicit mathematical models such as the zero set of an arbitrary polynomial. However, the distinction is often blurred: for instance, geometric shapes can be represented by objects; a digital image can be interpreted as a collection of colored squares; and geometric shapes such as circles are defined by implicit mathematical equations. Also, the modeling of fractal objects often requires a combination of geometric and procedural techniques.Geometric problems originating in architecture can lead to interesting research and results in geometry processing, computer-aided geometric design, and discrete differential geometry.".
- Geometric_design thumbnail 3dcurves.jpg?width=300.
- Geometric_design wikiPageExternalLink description.
- Geometric_design wikiPageExternalLink www.evolute.at.
- Geometric_design wikiPageID "22833268".
- Geometric_design wikiPageLength "3891".
- Geometric_design wikiPageOutDegree "55".
- Geometric_design wikiPageRevisionID "611887069".
- Geometric_design wikiPageWikiLink 2D_geometric_model.
- Geometric_design wikiPageWikiLink 3D_modeling.
- Geometric_design wikiPageWikiLink Aircraft.
- Geometric_design wikiPageWikiLink Algorithm.
- Geometric_design wikiPageWikiLink Architectural_design.
- Geometric_design wikiPageWikiLink Architectural_design_values.
- Geometric_design wikiPageWikiLink Architectural_geometry.
- Geometric_design wikiPageWikiLink Automotive_industry.
- Geometric_design wikiPageWikiLink Bézier_curve.
- Geometric_design wikiPageWikiLink CAD.
- Geometric_design wikiPageWikiLink Category:Computational_science.
- Geometric_design wikiPageWikiLink Category:Computer-aided_design.
- Geometric_design wikiPageWikiLink Category:Geometric_algorithms.
- Geometric_design wikiPageWikiLink Circle.
- Geometric_design wikiPageWikiLink Color.
- Geometric_design wikiPageWikiLink Computational_geometry.
- Geometric_design wikiPageWikiLink Computational_topology.
- Geometric_design wikiPageWikiLink Computer-aided_design.
- Geometric_design wikiPageWikiLink Computer-aided_engineering.
- Geometric_design wikiPageWikiLink Computer-aided_manufacturing.
- Geometric_design wikiPageWikiLink Computer_graphics.
- Geometric_design wikiPageWikiLink Digital_geometry.
- Geometric_design wikiPageWikiLink Digital_image.
- Geometric_design wikiPageWikiLink Dimension.
- Geometric_design wikiPageWikiLink File:K-noid-variation.jpg.
- Geometric_design wikiPageWikiLink Fractal.
- Geometric_design wikiPageWikiLink Geologic_modeling.
- Geometric_design wikiPageWikiLink Geologic_modelling.
- Geometric_design wikiPageWikiLink Implicit_model.
- Geometric_design wikiPageWikiLink Level_set_method.
- Geometric_design wikiPageWikiLink List_of_interactive_geometry_software.
- Geometric_design wikiPageWikiLink Medical_image_processing.
- Geometric_design wikiPageWikiLink Medical_imaging.
- Geometric_design wikiPageWikiLink Object-Oriented_Modeling.
- Geometric_design wikiPageWikiLink Object-oriented_analysis_and_design.
- Geometric_design wikiPageWikiLink Object-oriented_programming.
- Geometric_design wikiPageWikiLink Parametric_curve.
- Geometric_design wikiPageWikiLink Parametric_equation.
- Geometric_design wikiPageWikiLink Parametric_surface.
- Geometric_design wikiPageWikiLink Polynomial.
- Geometric_design wikiPageWikiLink Procedural_modeling.
- Geometric_design wikiPageWikiLink Shipbuilding.
- Geometric_design wikiPageWikiLink Solid_modeling.
- Geometric_design wikiPageWikiLink Space.
- Geometric_design wikiPageWikiLink Space_partitioning.
- Geometric_design wikiPageWikiLink Spline_(mathematics).
- Geometric_design wikiPageWikiLink Square.
- Geometric_design wikiPageWikiLink Square_(geometry).
- Geometric_design wikiPageWikiLink Technical_drawing.
- Geometric_design wikiPageWikiLink Typography.
- Geometric_design wikiPageWikiLink Volumetric_model.
- Geometric_design wikiPageWikiLink Wikiversity:Topic:Computational_geometry.
- Geometric_design wikiPageWikiLink Zero_set.
- Geometric_design wikiPageWikiLink File:3Dcurves02.jpg.
- Geometric_design wikiPageWikiLink File:3dcurves.jpg.
- Geometric_design wikiPageWikiLinkText "Geometric Design".
- Geometric_design wikiPageWikiLinkText "Geometric design".
- Geometric_design wikiPageWikiLinkText "geometric design".
- Geometric_design wikiPageWikiLinkText "geometrical designs".
- Geometric_design hasPhotoCollection Geometric_design.
- Geometric_design subject Category:Computational_science.
- Geometric_design subject Category:Computer-aided_design.
- Geometric_design subject Category:Geometric_algorithms.
- Geometric_design hypernym Branch.
- Geometric_design type Area.
- Geometric_design type Organisation.
- Geometric_design type Algorithm.
- Geometric_design type Area.
- Geometric_design comment "Geometric design (GD), also known as geometric modelling, is a branch of computational geometry. It deals with the construction and representation of free-form curves, surfaces, or volumes. Core problems are curve and surface modelling and representation. GD studies especially the construction and manipulation of curves and surfaces given by a set of points using polynomial, rational, piecewise polynomial, or piecewise rational methods.".
- Geometric_design label "Geometric design".
- Geometric_design sameAs الگوی_هندسی.
- Geometric_design sameAs m.063ydcz.
- Geometric_design sameAs Q5535477.
- Geometric_design sameAs Q5535477.
- Geometric_design wasDerivedFrom Geometric_design?oldid=611887069.
- Geometric_design depiction 3dcurves.jpg.
- Geometric_design isPrimaryTopicOf Geometric_design.