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- Scaling_(geometry) abstract "In Euclidean geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions. The result of uniform scaling is similar (in the geometric sense) to the original. A scale factor of 1 is normally allowed, so that congruent shapes are also classed as similar. Uniform scaling happens, for example, when enlarging or reducing a photograph, or when creating a scale model of a building, car, airplane, etc.More general is scaling with a separate scale factor for each axis direction. Non-uniform scaling (anisotropic scaling) is obtained when at least one of the scaling factors is different from the others; a special case is directional scaling or stretching (in one direction). Non-uniform scaling changes the shape of the object; e.g. a square may change into a rectangle, or into a parallelogram if the sides of the square are not parallel to the scaling axes (the angles between lines parallel to the axes are preserved, but not all angles). It occurs, for example, when a faraway billboard is viewed from an oblique angle, or when the shadow of a flat object falls on a surface that is not parallel to it.When the scale factor is larger than 1, (uniform or non-uniform) scaling is sometimes also called dilation or enlargement. When the scale factor is a positive number smaller than 1, scaling is sometimes also called contraction.In the most general sense, a scaling includes the case in which the directions of scaling are not perpendicular. It also includes the case in which one or more scale factors are equal to zero (projection), and the case of one or more negative scale factors (a directional scaling by -1 is equivalent to a reflection).Scaling is a linear transformation, and a special case of homothetic transformation. In most cases, the homothetic transformations are non-linear transformations.".
- Scaling_(geometry) wikiPageExternalLink Understanding2DScaling.
- Scaling_(geometry) wikiPageExternalLink Understanding3DScaling.
- Scaling_(geometry) wikiPageID "651752".
- Scaling_(geometry) wikiPageLength "7615".
- Scaling_(geometry) wikiPageOutDegree "39".
- Scaling_(geometry) wikiPageRevisionID "699445003".
- Scaling_(geometry) wikiPageWikiLink 3D_Scaling.
- Scaling_(geometry) wikiPageWikiLink Angle.
- Scaling_(geometry) wikiPageWikiLink Anisotropy.
- Scaling_(geometry) wikiPageWikiLink Area.
- Scaling_(geometry) wikiPageWikiLink Category:Transformation_(function).
- Scaling_(geometry) wikiPageWikiLink Computer_graphics.
- Scaling_(geometry) wikiPageWikiLink Diagonal_matrix.
- Scaling_(geometry) wikiPageWikiLink Diameter.
- Scaling_(geometry) wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Scaling_(geometry) wikiPageWikiLink Euclidean_geometry.
- Scaling_(geometry) wikiPageWikiLink Euclidean_vector.
- Scaling_(geometry) wikiPageWikiLink Homogeneous_coordinates.
- Scaling_(geometry) wikiPageWikiLink Homography.
- Scaling_(geometry) wikiPageWikiLink Homothetic_transformation.
- Scaling_(geometry) wikiPageWikiLink If_and_only_if.
- Scaling_(geometry) wikiPageWikiLink Isotropy.
- Scaling_(geometry) wikiPageWikiLink Linear_map.
- Scaling_(geometry) wikiPageWikiLink Orbit.
- Scaling_(geometry) wikiPageWikiLink Photograph.
- Scaling_(geometry) wikiPageWikiLink Projection_(linear_algebra).
- Scaling_(geometry) wikiPageWikiLink Projective_geometry.
- Scaling_(geometry) wikiPageWikiLink Reflection_(mathematics).
- Scaling_(geometry) wikiPageWikiLink Scalar_multiplication.
- Scaling_(geometry) wikiPageWikiLink Scale.
- Scaling_(geometry) wikiPageWikiLink Scale_(map).
- Scaling_(geometry) wikiPageWikiLink Scale_(ratio).
- Scaling_(geometry) wikiPageWikiLink Scale_factor.
- Scaling_(geometry) wikiPageWikiLink Scale_model.
- Scaling_(geometry) wikiPageWikiLink Shape.
- Scaling_(geometry) wikiPageWikiLink Similarity_(geometry).
- Scaling_(geometry) wikiPageWikiLink Symmetric_matrix.
- Scaling_(geometry) wikiPageWikiLink Transformation_matrix.
- Scaling_(geometry) wikiPageWikiLink Volume.
- Scaling_(geometry) wikiPageWikiLink Wolfram_Demonstrations_Project.
- Scaling_(geometry) wikiPageWikiLinkText "Scaling (geometry)".
- Scaling_(geometry) wikiPageWikiLinkText "Scaling".
- Scaling_(geometry) wikiPageWikiLinkText "dilation".
- Scaling_(geometry) wikiPageWikiLinkText "dilation/contraction".
- Scaling_(geometry) wikiPageWikiLinkText "geometric scaling".
- Scaling_(geometry) wikiPageWikiLinkText "isotropic scaling".
- Scaling_(geometry) wikiPageWikiLinkText "resize".
- Scaling_(geometry) wikiPageWikiLinkText "scale".
- Scaling_(geometry) wikiPageWikiLinkText "scaled".
- Scaling_(geometry) wikiPageWikiLinkText "scales".
- Scaling_(geometry) wikiPageWikiLinkText "scaling effect".
- Scaling_(geometry) wikiPageWikiLinkText "scaling".
- Scaling_(geometry) wikiPageWikiLinkText "scalings".
- Scaling_(geometry) wikiPageWikiLinkText "uniform scaling".
- Scaling_(geometry) wikiPageWikiLinkText "uniformly scaling".
- Scaling_(geometry) wikiPageUsesTemplate Template:Commons_category.
- Scaling_(geometry) wikiPageUsesTemplate Template:Computer_graphics.
- Scaling_(geometry) wikiPageUsesTemplate Template:Refimprove.
- Scaling_(geometry) wikiPageUsesTemplate Template:Reflist.
- Scaling_(geometry) wikiPageUsesTemplate Template:Use_dmy_dates.
- Scaling_(geometry) subject Category:Transformation_(function).
- Scaling_(geometry) hypernym Transformation.
- Scaling_(geometry) type ProgrammingLanguage.
- Scaling_(geometry) type Redirect.
- Scaling_(geometry) type Transform.
- Scaling_(geometry) comment "In Euclidean geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions. The result of uniform scaling is similar (in the geometric sense) to the original. A scale factor of 1 is normally allowed, so that congruent shapes are also classed as similar.".
- Scaling_(geometry) label "Scaling (geometry)".
- Scaling_(geometry) sameAs Q191145.
- Scaling_(geometry) sameAs Zentrische_Streckung.
- Scaling_(geometry) sameAs تجانس_(هندسه).
- Scaling_(geometry) sameAs Dilatation_(géométrie).
- Scaling_(geometry) sameAs Középpontos_hasonlóság.
- Scaling_(geometry) sameAs Verschalen_(meetkunde).
- Scaling_(geometry) sameAs m.02_pxd.
- Scaling_(geometry) sameAs Skaliranje_(geometrija).
- Scaling_(geometry) sameAs Q191145.
- Scaling_(geometry) sameAs 缩放.
- Scaling_(geometry) wasDerivedFrom Scaling_(geometry)?oldid=699445003.
- Scaling_(geometry) isPrimaryTopicOf Scaling_(geometry).