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Welcome to Fractal Forums > Fractal Art > Images Showcase (Rate My Fractal) > SuperSonic
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Author Topic: SuperSonic  (Read 4400 times)
Description: Mandelbrot
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xenodreambuie
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« Reply #45 on: May 06, 2016, 05:26:31 AM »
Stardust4ever, that's one of the reasons I mentioned the possibility of irregular sampling as an advantage of built in supersampling. It's most useful for highly correlated patterns such as texturing, not nearly as much for typical Julia or Mandelbrot fractal boundaries.
Jux does use irregular sampling, but not randomized. Reducing correlation was one reason, but not the main one. I figured that rather than weighting samples with a typical envelope, I could use equal weights and have more samples nearer the center. It also fit better with my adaptive sampling method.
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Regards, Garth
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stardust4ever
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« Reply #46 on: May 06, 2016, 05:40:54 AM »
Some fractal areas do have higher moire artifacting than others. One example is a typical textbook zoom into the utter west with classic coloring algorithm (bailout = 2, solid bands). You get rays like sunshine emenating from the minibrot and at deper levels the straight alternating lines can develop high moire patterns when they get close together.

But yeas, most of the time, as with spirals, there isn't a huge correlation between iteration bands and pixel spacing. I just illustraited a point that by dividing each pixel into squares and randomizing the position oof each ray within those squares, can often dissolve any existing moire patterns within the render. In some cases this technique can increase the noise floor slightly while simultaneously eliminating moire patterns.

Overall it is a better strategy for CGI, and obviously the chessboard floor is an example of worst case senario, as is for instance an utter west minibrot found in the needle.
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hapf
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« Reply #47 on: May 06, 2016, 09:23:00 AM »
Here is a location full of aliasing/moiré if someone wants to compare pre-blurring, random sampling etc.:
-1.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999964167859181481345304304588435620123924712119404059472773663805166711618956194838719021305389817240974903756614325041160459611662529365729385477093320702251209652829250829074940430728561432521051533584903938105170934081265592965605107688074973344719120419087715612046156524154644929702743341067174021056910317166589961218248362834949985270221280861548508395310334265921266581204679762344022201818885889867610620291231229022045666418693877777391264452722884510347414158873279576785099945683580403782743643104542152419918540813636043912330163841997917973325798404572075914481612699848039954264440595014192571321738904445996203786169930590801361474273553935130353066785498224246333944685895946870176882796651097186228949653941076075485441461103924579943074972981437962770006625765561856033607214522789938762970286156848721078931644371182974084380216600975305547447659897856166223043566284290858157706280339989734686722402220241439675239592062243609300094148978658996262967206023433742596520505346569875598295276288495756263419388622771768891979873193484627822919147573239686269089637976355644888974656138132658727701587547968611026807208268286565747798745776245935950691344651196405469801258583280873101185756290562580827749669979154174025231381583264353302320086682984758314496737546924918059686608834116362559360550433978782522508996848941145361387302148531011E+00
9.278349033002458222752882264118666506875868709042677290921147635710226552986776267212972091137484955490233866201195796 93670957062878697794559936583876208545770666583842331178385162354516281658116399393227322870407473800927719286972960266 31129288281459169518903587001677171979857730055602950778111853690840011452209413262658241443313917883503401931943325096 06579933129150121248596429225101955721357608105375970821784642376085028539375830433056099153272633370038794025595330919 88852625768552875794275655544991337875679697934349837698927655790623531598714273352479335154288990048913432228893572260 29913710935272545104585421564984984366719039752779318889316924965554320688680241080128122333333996601566180864998916482 17111728256116087626153639684817172308252408318283638912210170996414795992126755704349638773675742338565033151018914177 79569643667354537702653924583791423600634628258017164647940234824678789454282588488123546775833149638419112121876080440 47362920131312450597968549249878552101364391390363892503699853716669716234989293403499762660626533904766166840534661200 45776300135831230295373948219997645688450354583264943406320293477066866090160710200612667953202705520730279334613987484 91563483289315306136219965102789068810546602937572616608094572384550268242352906577644145492335247298026435439040408810 75615145905459787533604259410301032631826489567215587226336519639696438437062823347278091245633199124506195068690131103 9449570418976896401626670235727779272578761089464945E-242
3.0E-1469
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stardust4ever
Fractal Bachius
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Posts: 513
« Reply #48 on: May 06, 2016, 09:53:12 PM »
Quote from: hapf on May 06, 2016, 09:23:00 AM
Here is a location full of aliasing/moiré if someone wants to compare pre-blurring, random sampling etc.:
-1.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999964167859181481345304304588435620123924712119404059472773663805166711618956194838719021305389817240974903756614325041160459611662529365729385477093320702251209652829250829074940430728561432521051533584903938105170934081265592965605107688074973344719120419087715612046156524154644929702743341067174021056910317166589961218248362834949985270221280861548508395310334265921266581204679762344022201818885889867610620291231229022045666418693877777391264452722884510347414158873279576785099945683580403782743643104542152419918540813636043912330163841997917973325798404572075914481612699848039954264440595014192571321738904445996203786169930590801361474273553935130353066785498224246333944685895946870176882796651097186228949653941076075485441461103924579943074972981437962770006625765561856033607214522789938762970286156848721078931644371182974084380216600975305547447659897856166223043566284290858157706280339989734686722402220241439675239592062243609300094148978658996262967206023433742596520505346569875598295276288495756263419388622771768891979873193484627822919147573239686269089637976355644888974656138132658727701587547968611026807208268286565747798745776245935950691344651196405469801258583280873101185756290562580827749669979154174025231381583264353302320086682984758314496737546924918059686608834116362559360550433978782522508996848941145361387302148531011E+00
9.278349033002458222752882264118666506875868709042677290921147635710226552986776267212972091137484955490233866201195796 93670957062878697794559936583876208545770666583842331178385162354516281658116399393227322870407473800927719286972960266 31129288281459169518903587001677171979857730055602950778111853690840011452209413262658241443313917883503401931943325096 06579933129150121248596429225101955721357608105375970821784642376085028539375830433056099153272633370038794025595330919 88852625768552875794275655544991337875679697934349837698927655790623531598714273352479335154288990048913432228893572260 29913710935272545104585421564984984366719039752779318889316924965554320688680241080128122333333996601566180864998916482 17111728256116087626153639684817172308252408318283638912210170996414795992126755704349638773675742338565033151018914177 79569643667354537702653924583791423600634628258017164647940234824678789454282588488123546775833149638419112121876080440 47362920131312450597968549249878552101364391390363892503699853716669716234989293403499762660626533904766166840534661200 45776300135831230295373948219997645688450354583264943406320293477066866090160710200612667953202705520730279334613987484 91563483289315306136219965102789068810546602937572616608094572384550268242352906577644145492335247298026435439040408810 75615145905459787533604259410301032631826489567215587226336519639696438437062823347278091245633199124506195068690131103 9449570418976896401626670235727779272578761089464945E-242
3.0E-1469

Utter west, aye?

Would you mind expressing those coordinates without scientific notation, ie 0.000000000.....

I had to add 241 zeros after the decimal. Mandel Machine can't read inputs in scientific notation with the "E" on the end.

EDIT: Here's some fixed coordinates:
Code:
Real= -1.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999964167859181481345304304588435620123924712119404059472773663805166711618956194838719021305389817240974903756614325041160459611662529365729385477093320702251209652829250829074940430728561432521051533584903938105170934081265592965605107688074973344719120419087715612046156524154644929702743341067174021056910317166589961218248362834949985270221280861548508395310334265921266581204679762344022201818885889867610620291231229022045666418693877777391264452722884510347414158873279576785099945683580403782743643104542152419918540813636043912330163841997917973325798404572075914481612699848039954264440595014192571321738904445996203786169930590801361474273553935130353066785498224246333944685895946870176882796651097186228949653941076075485441461103924579943074972981437962770006625765561856033607214522789938762970286156848721078931644371182974084380216600975305547447659897856166223043566284290858157706280339989734686722402220241439675239592062243609300094148978658996262967206023433742596520505346569875598295276288495756263419388622771768891979873193484627822919147573239686269089637976355644888974656138132658727701587547968611026807208268286565747798745776245935950691344651196405469801258583280873101185756290562580827749669979154174025231381583264353302320086682984758314496737546924918059686608834116362559360550433978782522508996848941145361387302148531011
Imag= 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000927834903300245822275288226411866650687586870904267729092114763571022655298677626721297209113748495549023386620119579693670957062878697794559936583876208545770666583842331178385162354516281658116399393227322870407473800927719286972960266311292882814591695189035870016771719798577300556029507781118536908400114522094132626582414433139178835034019319433250960657993312915012124859642922510195572135760810537597082178464237608502853937583043305609915327263337003879402559533091988852625768552875794275655544991337875679697934349837698927655790623531598714273352479335154288990048913432228893572260299137109352725451045854215649849843667190397527793188893169249655543206886802410801281223333339966015661808649989164821711172825611608762615363968481717230825240831828363891221017099641479599212675570434963877367574233856503315101891417779569643667354537702653924583791423600634628258017164647940234824678789454282588488123546775833149638419112121876080440473629201313124505979685492498785521013643913903638925036998537166697162349892934034997626606265339047661668405346612004577630013583123029537394821999764568845035458326494340632029347706686609016071020061266795320270552073027933461398748491563483289315306136219965102789068810546602937572616608094572384550268242352906577644145492335247298026435439040408810756151459054597875336042594103010326318264895672155872263365196396964384370628233472780912456331991245061950686901311039449570418976896401626670235727779272578761089464945
Zoom= 2^-4878

Playing with the color cycling a bit, I'm getting star shaped moire patterns throughout the image. Circles and rays are especially susceptible to alias patterns.
« Last Edit: May 06, 2016, 09:59:26 PM by stardust4ever » Logged
hapf
Fractal Lover
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Posts: 219
« Reply #49 on: May 07, 2016, 09:41:07 AM »
Quote from: stardust4ever on May 06, 2016, 09:53:12 PM
Playing with the color cycling a bit, I'm getting star shaped moire patterns throughout the image. Circles and rays are especially susceptible to alias patterns.
My God! It's full of stars!
 grin
It's also a region that is tough for the Newton algorithm.
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stardust4ever
Fractal Bachius
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Posts: 513
« Reply #50 on: May 07, 2016, 10:15:46 AM »
Quote from: hapf on May 07, 2016, 09:41:07 AM
My God! It's full of stars!
 grin
It's also a region that is tough for the Newton algorithm.

Kinda like my reverse "Turbo Zoom" video.
<a href="https://www.youtube.com/v/mx_UXxtW3sg&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/mx_UXxtW3sg&rel=1&fs=1&hd=1</a>

An otherwise boring textbook zoom into the utter west such that the bailout increases by exactly 228 each period, also the number of colors in the FX color pallet. When a bailout of exactly 2 is used, the bars formed by the color bands are solid black. I had to turn off pixel guessing when rendering this movie because the moire patterns created holes between the rays. I ran the movie backwards because the viewer would fall asleep watching the first half otherwise.
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Kalles Fraktaler
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kallesfraktaler
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« Reply #51 on: May 07, 2016, 11:47:47 PM »
Quote from: stardust4ever on May 06, 2016, 09:53:12 PM
Would you mind expressing those coordinates without scientific notation, ie 0.000000000.....
KF can...
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stardust4ever
Fractal Bachius
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Posts: 513
« Reply #52 on: May 08, 2016, 02:13:28 AM »
Quote from: Kalles Fraktaler on May 07, 2016, 11:47:47 PM
KF can...
Hehe, I manually added the zeros in notepad, just a pain to group them in tens to make sure I counted correctly. I like to jump back and forth between Mandel Machine and Kalles Fraktaler. Both are extremely useful software. Mandel Machine is faster for extremely deep pure Mandelbrot rendering, but KF have more bells and whistles and can handle a whole slew of new formulas!

Sadly it seems Botond is no longer maintaining MM. He hasn't logged in months it appears. I sent him a PM about a location I found was not solving all glitches, but I seemed to discover a solution on my own. Changing the references on Series Approximation from 17 down to 5 fixed the issue I was having with "holes" in the image, but took about 4 times longer. It was worth the tradeoff.
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