View source for File:Gjl-cmap-5-0,05-1-0,333-0.jpg

{{Information
|Description=A color map illustrating [[:de:Benutzer:Georg-Johann/Mathematik#Visualising complex functions|''Visualising Complex Functions'']]
|Source={{Own}}
|Date=2008-03-25
|Author= [[User:Georg-Johann|Georg-Johann Lay]]
|Permission={{PD-self}}
|other_versions=
}}

== {{int:filedesc}} == 
:The values indexed ''s'' (saturation) control the transition saturated colors&rarr;white (resp. gray scale), i.e. intermediate values &rarr; infinity.
:The values indexed ''h'' (value/valenz) control the transition black&rarr;bright, i.e. zero &rarr; nonzero.
:Parameter ''a'' controls where the transition takes place: ''a'' is just the radius of the circle dividing the two regions (dark/bright, saturated/gray, etc.)
:Parameter ''b'' controls how sharp the transition is: ''b'' small = soft, ''b'' large = sharp.

:The following images all show the range [-10,10]&times;[-10,10]<math>i</math> and use <math>a_s=5</math> (radius of rainbow) and <math>a_v=1</math> (radius of black disc).

== Gallery ==
<gallery>
Image:Gjl-cmap-5-10-1-10-0.jpg|<math>b_s=b_v=10</math>
Image:Gjl-cmap-5-1-1-1-0.jpg|<math>b_s=b_v=1</math>
Image:Gjl-cmap-5-0,05-1-0,333-0.jpg|<math>b_s=0.05, b_v=1/3</math>
Image:Gjl-cmap-5-0,05-1-0,333-1.jpg|<math>b_s=0.05, b_v=1/3</math><br/>Roles of S and V interchanged
</gallery>

== See also ==
* [[:de:Benutzer:Georg-Johann/Mathematik#Visualising complex functions|''Visualising Complex Functions'']]

[[Category:Complex plots color maps]]