File:Airy-pattern.svg
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Size of this PNG preview of this SVG file: 283 × 210 pixels. Other resolutions: 320 × 237 pixels | 640 × 475 pixels | 1,024 × 760 pixels | 1,280 × 950 pixels | 2,560 × 1,900 pixels.
Original file (SVG file, nominally 283 × 210 pixels, file size: 6 KB)
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Summary
[edit]DescriptionAiry-pattern.svg |
English: Vectorized version of :Image:Airy-pattern.png |
Date | |
Source | Created in Adobe Illustrator and then edited to incorporate gradient stops calculated in Chipmunk Basic (see below for source code). |
Author | Sakurambo at English Wikipedia 桜ん坊 |
Source code
[edit]' Positions of 1st 10 zeros in bj1(x)
data 3.83170597
data 7.01558668
data 10.17346814
data 13.32369194
data 16.47063005
data 19.61585851
data 22.76008438
data 25.90367209
data 29.04682854
data 32.18967991
'
dim zero(5)
for j=1 to 5
read zero(j)
next j
'
open "radial_grad.txt" for output as #1
max_x = zero(5)
np = 10
for j=0 to 4
for p=0 to np-1
x = zero(j)*(1-p/np) + zero(j+1)*p/np
if (x=0) then airy=1 : else airy = (2 * bj1(x) / x)^2
airy = airy^0.4 : ' Gamma function (increases brightness of low values)
x0 = x/max_x
?#1,"<stop offset=";chr$(34);str$(x0);chr$(34);
?#1," style=";chr$(34);"stop-color:#";
h$ = hex$(floor(255*abs(airy)+0.5),2)
?#1,h$;h$;h$;chr$(34);"/>"
next p
next j
?#1,"<stop offset=";chr$(34);"1";chr$(34);" style=";
?#1,chr$(34);"stop-color:#000000";chr$(34);"/>"
close#1
end
'
' BesselJ1 function based on Javascript source code at
' http://www.mhtl.uwaterloo.ca/old/courses/me3532/js/bessel.html
sub bj1(x)
ax = abs(x)
if (ax < 8.0) then
y=x*x
tmp = (-2972611.439+y*(15704.48260+y*(-30.16036606)))
ans1 = x*(72362614232.0+y*(-7895059235.0+y*(242396853.1+y*tmp)))
ans2 = 144725228442.0+y*(2300535178.0+y*(18583304.74+y*(99447.43394+y*(376.9991397+y*1.0))))
ans = ans1/ans2
else
z=8.0/ax
y=z*z
xx=ax-2.356194491
ans1=1.0+y*(0.183105e-2+y*(-0.3516396496e-4+y*(0.2457520174e-5+y*(-0.240337019e-6))))
ans2=0.04687499995+y*(-0.2002690873e-3+y*(0.8449199096e-5+y*(-0.88228987e-6+y*0.105787412e-6)))
ans=sqrt(0.636619772/ax)*(cos(xx)*ans1-z*sin(xx)*ans2)
if (x < 0.0) then ans = -ans
endif
bj1 = ans
end sub
Linear gradient stops were generated with this program
open "linear_grad.txt" for output as #1
for x = 0 to 20
xx = ((20-x)/20)^2 : ' Create more stop colors in low intensity region
y = (xx)^0.4 : ' Gamma function
c$ = hex$(floor(255*y+0.5),2)
c$ = c$+c$+c$
print #1,"<stop offset=";chr$(34);str$(1-xx);chr$(34);
print #1," style=";chr$(34);" stop-color:#";c$;chr$(34);"/>"
next x
close #1
end
Licensing
[edit]Public domainPublic domainfalsefalse |
This work has been released into the public domain by its author, Sakurambo at English Wikipedia. This applies worldwide. In some countries this may not be legally possible; if so: Sakurambo grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.Public domainPublic domainfalsefalse |
Original upload log
[edit]The original description page was here. All following user names refer to en.wikipedia.
- 2008-07-09 14:17 Sakurambo 283×210× (5677 bytes) xml errors fixed
- 2008-07-09 14:15 Sakurambo 283×210× (5698 bytes) better version (gradients calculated in software)
- 2008-07-08 10:55 Sakurambo 283×210× (3757 bytes) fixed gamma snafu
- 2008-07-08 10:42 Sakurambo 283×210× (3756 bytes) {{Information |Description=vectorized version of [[:Image:Airy-pattern.png]] |Source=I created this work entirely by myself. |Date=2007-07-08 |Author=~~~ |other_versions=[[Image:Airy-pattern.png|100px]] }}
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 03:38, 11 June 2012 | 283 × 210 (6 KB) | OgreBot (talk | contribs) | (BOT): Reverting to most recent version before archival | |
03:38, 11 June 2012 | 283 × 210 (6 KB) | OgreBot (talk | contribs) | (BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2008-07-09 14:15:56 by Sakurambo | ||
03:38, 11 June 2012 | 283 × 210 (4 KB) | OgreBot (talk | contribs) | (BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2008-07-08 10:55:58 by Sakurambo | ||
03:37, 11 June 2012 | 283 × 210 (4 KB) | OgreBot (talk | contribs) | (BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2008-07-08 10:42:06 by Sakurambo | ||
14:30, 9 March 2012 | 283 × 210 (6 KB) | AH829 (talk | contribs) | {{Information |Description={{en|vectorized version of en::Image:Airy-pattern.png}} |Source=Transferred from [http://en.wikipedia.org en.wikipedia]<br/> (Original text : ''Created in en:Adobe Illustrator and then edited to incorporate gradie... |
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8 July 2007
image/svg+xml
0ed88b347c687b3bd59b1cadbe52e3ba683541aa
5,677 byte
210 pixel
283 pixel
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