About: Tapering (mathematics)

An Entity of Type: Function113783816, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

In mathematics, physics, and theoretical computer graphics, tapering is a kind of shape deformation. Just as an affine transformation, such as scaling or shearing, is a first-order model of shape deformation, tapering is a higher order deformation just as twisting and bending. Tapering can be thought of as non-constant scaling by a given tapering function. The resultant deformations can be linear or nonlinear. To create a nonlinear taper, instead of scaling in x and y for all z with constants as in: let a and b be functions of z so that: An example of a linear taper is , and a quadratic taper .

Property Value
dbo:abstract
  • In mathematics, physics, and theoretical computer graphics, tapering is a kind of shape deformation. Just as an affine transformation, such as scaling or shearing, is a first-order model of shape deformation, tapering is a higher order deformation just as twisting and bending. Tapering can be thought of as non-constant scaling by a given tapering function. The resultant deformations can be linear or nonlinear. To create a nonlinear taper, instead of scaling in x and y for all z with constants as in: let a and b be functions of z so that: An example of a linear taper is , and a quadratic taper . As another example, if the parametric equation of a cube were given by ƒ(t) = (x(t), y(t), z(t)), a nonlinear taper could be applied so that the cube's volume slowly decreases (or tapers) as the function moves in the positive z direction. For the given cube, an example of a nonlinear taper along z would be if, for instance, the function T(z) = 1/(a + bt) were applied to the cube's equation such that ƒ(t) = (T(z)x(t), T(z)y(t), T(z)z(t)), for some real constants a and b. (en)
dbo:wikiPageExternalLink
dbo:wikiPageID
  • 25426649 (xsd:integer)
dbo:wikiPageLength
  • 2843 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1100259264 (xsd:integer)
dbo:wikiPageWikiLink
dbp:wikiPageUsesTemplate
dcterms:subject
rdf:type
rdfs:comment
  • In mathematics, physics, and theoretical computer graphics, tapering is a kind of shape deformation. Just as an affine transformation, such as scaling or shearing, is a first-order model of shape deformation, tapering is a higher order deformation just as twisting and bending. Tapering can be thought of as non-constant scaling by a given tapering function. The resultant deformations can be linear or nonlinear. To create a nonlinear taper, instead of scaling in x and y for all z with constants as in: let a and b be functions of z so that: An example of a linear taper is , and a quadratic taper . (en)
rdfs:label
  • Tapering (mathematics) (en)
owl:differentFrom
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
is dbo:wikiPageDisambiguates of
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License