VertexTextureCoordinates

VertexTextureCoordinates

is an option for graphics primitives that specifies the texture coordinates to assign to vertices.

Details

  • VertexTextureCoordinates can be used with various primitives that defined filled shapes, including Polygon, FilledCurve, and GraphicsComplex.
  • VertexTextureCoordinates->{t1,t2,…} specifies that coordinate ti should be assigned to vertex i.
  • The texture coordinates ti for each vertex can have the following forms:
  • {u}1D coordinates
    {u,v}2D coordinates
    {u,v,w}3D coordinates
  • The texture coordinates u, v, and w are assumed to range from 0 to 1.
  • Coordinates outside the range 0 to 1 are taken be periodic and equivalent to Mod[u,1] etc.
  • VertexTextureCoordinates->{{t1,t2,…},{u1,u2,…},…} specifies lists of coordinates that should be mapped to the corresponding shapes of a multi-shape specification.
  • VertexTextureCoordinatesAutomatic textures a 2D primitive relative to its axis-aligned bounding box.
  • Textures are taken to be arrays of colors.
  • Texture coordinates follow the same convention as position numbers.
  • For a particular dimension the texture coordinate 0 corresponds to the smallest position and texture coordinate 1 corresponds to the largest position.
  • For a 1D texture, coordinates correspond to:
  • {0}position 1, first element
    {1}position -1, last element
  • For a 2D texture, coordinates correspond to:
  • {0,0}position {1,1}, first row and column
    {1,1}position {-1,-1}, last row and column
  • For a 3D texture, coordinates correspond to:
  • {0,0,0}position {1,1,1}, first row, column, and tube
    {1,1,1}position {-1,-1,-1}, last row, column, and tube
  • The texture coordinates in the interior of the polygon effectively correspond to interpolating between the texture coordinates specified by VertexTextureCoordinates.
  • The texture color corresponding to a texture coordinate is computed by interpolating between neighboring colors in the texture.

Examples

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Basic Examples  (3)

Specify vertex coordinates for a 1D texture:

Specify vertex coordinates for a 2D texture:

Specify vertex coordinates for a 3D texture:

Scope  (5)

The 1D texture coordinates are assumed to range from {0} to {1}:

Specify a portion of 1D texture by using coordinates between {0} and {1}:

Repeat 1D texture by using coordinate values outside of {0} and {1}:

The 2D texture coordinates are assumed to range from {0,0} to {1,1}:

Specify a portion of 2D texture by using coordinates within the range of {0,0} and {1,1}:

Repeat 2D texture by using coordinate values outside of {0,0} and {1,1}:

The 3D texture coordinates are assumed to range from {0,0,0} to {1,1,1}:

Multi-polygons are mapped to sublists of texture coordinates:

Components of filled curves are mapped to sublists of texture coordinates:

Properties & Relations  (1)

Texture coordinates of plot functions can be specified by TextureCoordinateFunction:

Wolfram Research (2010), VertexTextureCoordinates, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexTextureCoordinates.html (updated 2018).

Text

Wolfram Research (2010), VertexTextureCoordinates, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexTextureCoordinates.html (updated 2018).

CMS

Wolfram Language. 2010. "VertexTextureCoordinates." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2018. https://reference.wolfram.com/language/ref/VertexTextureCoordinates.html.

APA

Wolfram Language. (2010). VertexTextureCoordinates. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VertexTextureCoordinates.html

BibTeX

@misc{reference.wolfram_2024_vertextexturecoordinates, author="Wolfram Research", title="{VertexTextureCoordinates}", year="2018", howpublished="\url{https://reference.wolfram.com/language/ref/VertexTextureCoordinates.html}", note=[Accessed: 21-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_vertextexturecoordinates, organization={Wolfram Research}, title={VertexTextureCoordinates}, year={2018}, url={https://reference.wolfram.com/language/ref/VertexTextureCoordinates.html}, note=[Accessed: 21-December-2024 ]}