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- Geometric_modeling abstract "Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes.The shapes studied in geometric modeling are mostly two- or three-dimensional, although many of its tools and principles can be applied to sets of any finite dimension. Today most geometric modeling is done with computers and for computer-based applications. Two-dimensional models are important in computer typography and technical drawing. Three-dimensional models are central to computer-aided design and manufacturing (CAD/CAM), and widely used in many applied technical fields such as civil and mechanical engineering, architecture, geology and medical image processing.Geometric models are usually distinguished from procedural and object-oriented models, which define the shape implicitly by an opaque algorithm that generates its appearance. They are also contrasted with digital images and volumetric models which represent the shape as a subset of a fine regular partition of space; and with fractal models that give an infinitely recursive definition of the shape. However, these distinctions are often blurred: for instance, 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, a fractal model yields a parametric or implicit model when its recursive definition is truncated to a finite depth.Notable awards of the area are the John A. Gregory Memorial Award and the Bezier award.".
- Geometric_modeling wikiPageExternalLink 1497473195.
- Geometric_modeling wikiPageExternalLink cagd.
- Geometric_modeling wikiPageExternalLink cdgen0104.pdf.
- Geometric_modeling wikiPageID "4577462".
- Geometric_modeling wikiPageLength "5346".
- Geometric_modeling wikiPageOutDegree "43".
- Geometric_modeling wikiPageRevisionID "682367218".
- Geometric_modeling wikiPageWikiLink 2D_geometric_model.
- Geometric_modeling wikiPageWikiLink 3D_modeling.
- Geometric_modeling wikiPageWikiLink Algorithm.
- Geometric_modeling wikiPageWikiLink Algorithms.
- Geometric_modeling wikiPageWikiLink Applied_mathematics.
- Geometric_modeling wikiPageWikiLink Architectural_geometry.
- Geometric_modeling wikiPageWikiLink Architecture.
- Geometric_modeling wikiPageWikiLink Category:Computer-aided_design.
- Geometric_modeling wikiPageWikiLink Category:Geometric_algorithms.
- Geometric_modeling wikiPageWikiLink Circle.
- Geometric_modeling wikiPageWikiLink Civil_engineering.
- Geometric_modeling wikiPageWikiLink Color.
- Geometric_modeling wikiPageWikiLink Computational_geometry.
- Geometric_modeling wikiPageWikiLink Computational_topology.
- Geometric_modeling wikiPageWikiLink Computer-aided_design.
- Geometric_modeling wikiPageWikiLink Computer-aided_engineering.
- Geometric_modeling wikiPageWikiLink Computer-aided_manufacturing.
- Geometric_modeling wikiPageWikiLink Conformal_geometry.
- Geometric_modeling wikiPageWikiLink Digital_geometry.
- Geometric_modeling wikiPageWikiLink Digital_image.
- Geometric_modeling wikiPageWikiLink Dimension.
- Geometric_modeling wikiPageWikiLink Fractal.
- Geometric_modeling wikiPageWikiLink Geologic_modeling.
- Geometric_modeling wikiPageWikiLink Geologic_modelling.
- Geometric_modeling wikiPageWikiLink Geometric_modeling_kernel.
- Geometric_modeling wikiPageWikiLink Level_of_detail.
- Geometric_modeling wikiPageWikiLink List_of_interactive_geometry_software.
- Geometric_modeling wikiPageWikiLink Mechanical_engineering.
- Geometric_modeling wikiPageWikiLink Medical_image_processing.
- Geometric_modeling wikiPageWikiLink Medical_imaging.
- Geometric_modeling wikiPageWikiLink Object-oriented_model.
- Geometric_modeling wikiPageWikiLink Parametric_curve.
- Geometric_modeling wikiPageWikiLink Parametric_equation.
- Geometric_modeling wikiPageWikiLink Parametric_surface.
- Geometric_modeling wikiPageWikiLink Procedural_model.
- Geometric_modeling wikiPageWikiLink Pythagorean-hodograph_curve.
- Geometric_modeling wikiPageWikiLink Solid_modeling.
- Geometric_modeling wikiPageWikiLink Space_partitioning.
- Geometric_modeling wikiPageWikiLink Square.
- Geometric_modeling wikiPageWikiLink Square_(geometry).
- Geometric_modeling wikiPageWikiLink Subdivision_surface.
- Geometric_modeling wikiPageWikiLink Technical_drawing.
- Geometric_modeling wikiPageWikiLink Typography.
- Geometric_modeling wikiPageWikiLink Volumetric_model.
- Geometric_modeling wikiPageWikiLinkText "3D modeling".
- Geometric_modeling wikiPageWikiLinkText "3D models".
- Geometric_modeling wikiPageWikiLinkText "Geometric modeling".
- Geometric_modeling wikiPageWikiLinkText "Geometry modeling".
- Geometric_modeling wikiPageWikiLinkText "geometric model".
- Geometric_modeling wikiPageWikiLinkText "geometric modeling".
- Geometric_modeling wikiPageWikiLinkText "modeling".
- Geometric_modeling hasPhotoCollection Geometric_modeling.
- Geometric_modeling wikiPageUsesTemplate Template:Applied-math-stub.
- Geometric_modeling wikiPageUsesTemplate Template:Cite_book.
- Geometric_modeling wikiPageUsesTemplate Template:Cn.
- Geometric_modeling wikiPageUsesTemplate Template:Refimprove.
- Geometric_modeling wikiPageUsesTemplate Template:Reflist.
- Geometric_modeling subject Category:Computer-aided_design.
- Geometric_modeling subject Category:Geometric_algorithms.
- Geometric_modeling hypernym Branch.
- Geometric_modeling type Area.
- Geometric_modeling type Organisation.
- Geometric_modeling type Algorithm.
- Geometric_modeling type Area.
- Geometric_modeling comment "Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes.The shapes studied in geometric modeling are mostly two- or three-dimensional, although many of its tools and principles can be applied to sets of any finite dimension. Today most geometric modeling is done with computers and for computer-based applications.".
- Geometric_modeling label "Geometric modeling".
- Geometric_modeling sameAs Geometrische_Modellierung.
- Geometric_modeling sameAs Modélisation_géométrique.
- Geometric_modeling sameAs Geometrisk_modellering.
- Geometric_modeling sameAs m.04lfj1n.
- Geometric_modeling sameAs Q1002535.
- Geometric_modeling sameAs Q1002535.
- Geometric_modeling sameAs 几何模型.
- Geometric_modeling wasDerivedFrom Geometric_modeling?oldid=682367218.
- Geometric_modeling isPrimaryTopicOf Geometric_modeling.