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Author Topic: Working on more advanced exponent smoothing  (Read 1323 times)
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Alef
Fractal Supremo
*****
Posts: 1174



WWW
« on: July 05, 2012, 05:23:01 PM »

Orbit traps are surrounded by hudge amount of plugins and colour options, but exponent smoothing have almoust nothing.

But I think, exponent smoothing much better reveals inner nature of fractals, and it works well with kali/ducks pattern formulas. So there is field for improvement. Here I were working on more advanced exponent smoothing.
Actualy, here I just putt together options alredy implemented in different esponent smoothing like colour methods, such as using complex exponent base instead of Eulers number (imaginary and negative numbers create different gradients), smoothing by using larger value, adding some value to control density e.t.c. Not too new, so I think, its not to be released.

Do someone have any hints, sugestions or code, how exponent smoothing could be improved?


p.s.
No pictures, but some fractals using features this version of expont smoothing.

Code:
HEARTS_kali_talis_layers_2 {
::GvDwXin29SVTvtNMM07BI/HE8pNUkEJ/ZyG0hOsAMsh1DL7uhqtsja0HeyypJ9X/okd6KaLG
  K2hZADbRK+4jPSpGLryxkfY+MEyJcSON6Lbv+H/cX5BmUUCuE9lS2ZutvMOCdvo2tnmniR75
  i29Oa6aMa0Nl4xoyyrFuea0191M1HLWltKGTijmPLsrQeqYdOhRTj+Er6Qr1MorjQmOWlwdm
  SwYki72bqpqBpT0x67ROLT33xsctjem3Pfmi11J0tjwBW5W6C8SMZNuIZTWeyKySCJLrAXQK
  iRKWrmGvkUUUgxpzn1YsA2sQ0K2JhP8ECqjbr2zrOQNNNoGhkrZKQP4qlDNqIEkG7Za038SC
  3x7L3xbEWhIyDTXJ/XDsxyisABiHXUbQTbGd30mulJkmBHlEvG/mfGDFgxdujT/6gUw8rvX4
  q2/cr35/61isVwLY4zU8yNwjHkmymBdVZnp3RF1Q94hpCoKlsCD/fkXFAL6hVKT9gco/dP8+
  JmfsBGUMBZOJOfF8JFve+MhuHQac8x3kaApUK0cm9JK42rua7pOzOlx42DttlDVyAsTS6o/R
  3OwfEkPgkaeLFHImvDpHUUivi4n6qFqx5APzqZ2DaePMACLgqpCatjNivz01c5tWjD5rrLNK
  gKaIzhK9GeLs5jc02QSZSJ0a9YHaW9c6i4Vxjx5ltGA1sFodQFCoBdy/nVfY8Fj/bSAcG4fQ
  E2OIhDwobGU3ytvZdAGzvxE0hWLrWAgNec0oUw/wVAf/Mqhd0YB+jASgUnRwiWhmJ93TE43y
  IUfoyD5SAU9EFPCjEm2IZx44ssNTeyznsnS2kmmEPZmkk8s97RYy3mNXiJnsOdT2k94Hxikn
  mve9FsSSi/T6hbQIFQfe8upQ59C2mhf8uLIzXyK+1sGPeW+lOSwxvm1i8nad+sfDqXszwA==
}

And here is another

Code:
Fractal7 {
fractal:
  title="Fractal7" width=320 height=240 layers=1
  credits="Asdam;7/5/2012"
layer:
  caption="Background" opacity=100 transparent=yes
mapping:
  center=-3.7268749455/0.0651243015 magn=0.91850994
formula:
  maxiter=40 percheck=off filename="em.ufm" entry="Kalisetes_Sefirii"
  p_equation="1- kaleido Kaliset j" p_bailout=777000 p_settype=Julia
  p_switchsettype=Mandelbrot p_julia=-0.6/0.76 p_D=1 f_func_post=ident
  p_scale=1/-0.11 p_vectype="z/modulus(z)" p_vfactor=0.04/0.0
inside:
  transfer=linear filename="E++ExpoSmoothing.ucl"
  entry="E++ExpSmoothting" p_posneg=0/0 p_iternum=7770000 p_expdim=no
  p_darkness=0.3 p_calculation="Newton type"
  p_exponentype="Free exponent" p_pallete=yes p_base=2/2
  p_postfn="6- DoubleEdged"
outside:
  transfer=linear filename="Standard.ucl" entry="Basic"
  p_type=Iteration
gradient:
  comments="my original creation." smooth=yes index=30 color=24800
  index=130 color=9164785 index=262 color=10176512 index=363
  color=5998
opacity:
  smooth=no index=0 opacity=255
}


* E++ExpoSmoothing.ucl (3.43 KB - downloaded 109 times.)
« Last Edit: July 05, 2012, 05:27:28 PM by Asdam » Logged

fractal catalisator
Alef
Fractal Supremo
*****
Posts: 1174



WWW
« Reply #1 on: July 11, 2012, 10:03:28 PM »

+ few additional colour transfer functions.
+ there are exponent smoothing for divergent and convergent fractals, added for both at the same time (magnet fractal). Kind of tricky formula, in mandelbrot working smoothly just with iteration normalisation, but with kalisets and discontiniunate working better without normalisation. But in deep mandelbrot zoom I got real smoothness unlike than of convergent or divergent exponent smoothing.


Code:
Deep_brt_expsmth {
fractal:
  title="Deep_brt_expsmth" width=640 height=480 layers=1
  credits="Asdam;7/9/2012"
layer:
  caption="Background" opacity=100 transparent=yes
mapping:
  center=-0.74693408851836649936778965/0.1176139545955078623627211
  magn=3.4793484E15
formula:
  maxiter=2500 filename="Standard.ufm" entry="Mandelbrot" p_start=0/0
  p_power=2/0
  p_bailout=400000000000000000000000000000000000000000000000000000000
inside:
  density=16 transfer=cube filename="E++ExpoSmoothing.ucl"
  entry="E++ExpSmoothting" p_posneg=0/0 p_iternum=7770000 p_expdim=no
  p_darkness=0.0 p_calculation="Mandelbrot type"
  p_exponentype="Eulers Number" p_base=-2/2 p_pallete=yes
  p_postfn="8- Solarisation"
outside:
  transfer=linear filename="E++ExpoSmoothing.ucl"
  entry="E++ExpSmoothting" p_posneg=0/0 p_iternum=7770000 p_expdim=yes
  p_darkness=0.0 p_calculation="Magnet type"
  p_exponentype="Eulers Number" p_base=-2/2 p_pallete=yes
  p_postfn="6- DoubleEdged"
gradient:
  comments="my original creation." smooth=yes index=30 color=24800
  index=130 color=9164785 index=262 color=10176512 index=363
  color=5998
opacity:
  smooth=no index=0 opacity=255
}

* E++ExpoSmoothing.ucl (4.29 KB - downloaded 83 times.)
Logged

fractal catalisator
Alef
Fractal Supremo
*****
Posts: 1174



WWW
« Reply #2 on: July 18, 2012, 04:27:46 PM »

+ added pre functions (flavor). Now, I think, there are enought new features and switches to upload to the UF database.

Code:
kaliset_decor {
::A+1Jxin2FT1SzNNMQ47Zm8fQjPB0JJSyvhRHgheAYKX6F4UGVb5E1oHGJ52k+rnV2uPgWmhb
  NXi03u6b39bXvdOeTgre/yFIUQGUCWyBuS6FhttiGrLBdrsNsnVkhR7Fyd7DssKMSxPJceGJ
  +sGnoVG8skP6b56PUuhUuhiJ0klLGdbk7GefQaNskPxbOszZHMtJIbPvRGOxIYMSLC7ttM9g
  KI75ePK44GfP3JMB2Jhf5CNvvXa2NRHgKcM8G8acOSz3ZY41VV00cad2yFdWHQEf0VN/oM6b
  GB1LcN7FNHY2uOUnUJMcNUwC96hOdCC40dil8tp6X43epoT6kykIN9bF/agPVDkVIQkEyWLa
  2Z01zOdFXqsDBGhWh/v/N9UgmwpeB7rDKJPe/WZoZ/fgO541xjsVQpXkWXnWnnTJgQUWSIl4
  SaeG4znZEU32uBTz2erPwktQ1NHnGI3ZwLgz3IaGZP5uNab7gaw/m7ebS0QHMXYdxokSL2A/
  lhrWuQa8ATTTLx+THIsKpRwdIQThclRI4nItnf2Znfs3ep2aD7hm36hG1oSNr1T2nMHA7xQD
  5rRsL2bhLxWnZQzKLLjKVsNcsvVqnGJilTL3dwI8+4AQWZVKABFYD0+naWXwNtC1VObAFL17
  bmQWZgkYs4/CMAJNc3J05Jj9QvgtiuhGTGuSBzCPGuenoDYNF9j39z5sNEBqWhu0q4OpfMuQ
  Ygxg/pY96oQkXJtB+e57AjA97c8WJQ90HxWtGODbOu4Eqjfj1B1CCSJk+ECuEjrKueZMbXng
  8jqQMeIJk4HZ4JaUwgKJnip551zWKKmxzI1ZZp0ZYSa6f5fkhZb113/mCSVWd+MO9BuIFZFw
  SmZ80U6jhPPvkUC98pNajl3zy2c8Db8gIffUxvEKdapwzNkipvEaZxTRXu438er2wC==
}


and deep mandelbrot

Code:

Deep_mbrt_expsmth {
::7WPhyin2FTZTPuNIQY47RK/HQcdVcA/B2er4Qr2cs7lcp9UExG7gW+wCwaT+33B7sprUvVVp
  6T4ZYm5lHmhBvoLK0PvdDCFVRtkjfRKnOZO7jnkXnCm4FM6dVf8CnVSQXkqxLReZDBpF3k+A
  nmCtzL7VxAH/1Qvw8l690695EaOe7mlttk/OxUU5sc83EdvN6dz2eMyNJ6UxbcKhgiehNMJ8
  SbkfTG2uxImmU2x1oBrSPfHJruk1WUSaaqoNFMWZbbBruuplVtnkRp1MaRbVZVbVFpuhlXwy
  rzpLy0IGt8isyaI+myD0qtbGcezsW88q7rqUNyrAxMo0SrwAA5YUY7F++s5BDGBywfjj/OYT
  qP7dRMa6UIK8ROZPJlmpTTu3Tp5jfPLUa3MQNyf532NKbQ1LXUZvEWnIGbFYDQp0KrU4/kmP
  80THuO5Oacu4FAhZzdacK67yf1/q7I4Hvo6gVOmOFwPJQYnN8666kCALQ3Qvywtu1DFQk3sy
  QgTySe7E6OgjrXw/GOo4tJJeNCIBOLUfwCIgZN09ged2cW6xLQKI57y3nnUiQrlR5aTwCQ9y
  BIvU0rQGur1YySzO0RnW4VhlSDVCA9DU9/gPP08DAR/T8Mal/jRTO6H7+5nJDbH6F38Zt8Q/
  osHqzoX0rgasON5MGYNMxauhce1oyK0px4FJmhRhljeqMIFcZelXQgg0OotGG+XasXtTf4ol
  yKrbqubPnlf3OlAzkV08PSErYVBJfVttNwd26jALK7ehtu7bn84Ji8KYe9XAuP+dEC==
}

* E++ExpoSmoothing.ucl (4.89 KB - downloaded 107 times.)
« Last Edit: July 18, 2012, 06:02:54 PM by Asdam » Logged

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