NormalsFunction

NormalsFunction

is an option for Plot3D and related functions that specifies a function to apply to determine the effective surface normals at every point.

Details

  • The following settings can be given:
  • Nonedetermine normals from explicit polygon vertices
    Automaticdetermine normals from overall surface properties
    fdetermine normals by applying a function f
  • With NormalsFunction->f, the arguments supplied to f are as follows:
  • Plot3Dx, y, z
    ParametricPlot3Dx, y, z, u, v
    ContourPlot3Dx, y, z, w
    RegionPlot3Dx, y, z
  • The function f must return a vector of the form {vx,vy,vz}. Only the direction of this vector matters; the vector is in effect automatically normalized to unit length.

Examples

Basic Examples  (3)

Use automatic methods to compute surface normals:

Make the effective normals to the surface vary locally:

Use flat shading for all polygons:

Wolfram Research (2007), NormalsFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/NormalsFunction.html.

Text

Wolfram Research (2007), NormalsFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/NormalsFunction.html.

CMS

Wolfram Language. 2007. "NormalsFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NormalsFunction.html.

APA

Wolfram Language. (2007). NormalsFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NormalsFunction.html

BibTeX

@misc{reference.wolfram_2022_normalsfunction, author="Wolfram Research", title="{NormalsFunction}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/NormalsFunction.html}", note=[Accessed: 07-June-2023 ]}

BibLaTeX

@online{reference.wolfram_2022_normalsfunction, organization={Wolfram Research}, title={NormalsFunction}, year={2007}, url={https://reference.wolfram.com/language/ref/NormalsFunction.html}, note=[Accessed: 07-June-2023 ]}