Fractal graphics: piav qhia, piv txwv, tawm tswv yim, qhov zoo thiab qhov tsis zoo

Kev ua lej yog cia raws li kev sib haum xeeb, thiab cov duab kos duab fractal yog kev ncaj ncaj ntawm qhov ntawd. Science yog tam sim no nyob rau hauv cov creation ntawm txhua tus ntawm nws cov ntsiab, yog li nws qhia tag nrho cov kev zoo nkauj.

Lub creator ntawm fractal geometry, cov xibfwb Malderbrot, wrote nyob rau hauv nws phau ntawv uas lub saum toj no lub sij hawm yog tsis tsuas theej tawm dluab. Nws yog tus qauv ntawm txhua tus neeg los yog khoom hauv ntiaj chaw, nyob thiab tsis muaj sia nyob. Piv txwv, DNA yog lub hauv paus, muaj kev koom ua ke. Tab sis yog qhov chaws pib rov ua dua, ces ib tug neeg tshwm sim.

Cov ntsiab lus ntawm fractal graphics

Dab tsi yog fractal graphics? Nws yog ib tug los yog ntau tshaj geometric duab, txhua yam uas yog zoo ib yam li rau lwm yam. Ntawd yog, daim duab yog ua los ntawm cov khoom qub.

Lo lus "fractal" heev yog siv tau yog hais tias lub cev muaj ib los yog ntau dua ntawm cov khoom no:

• Nontrivial qauv. Thaum twg ib qho kev qhia me me ntawm tag nrho cov duab raug saib, qhov fragment yog zoo li tag nrho cov duab. Qhov nce nyob rau hauv scale tsis ua rau deterioration. Daim duab yeej zoo ib yam nkaus.
• Ib feem ntawm daim duab yog nws tus kheej zoo sib xws.
• Muaj ntau qhov lej.
• Nws ua nrog kev pab cuam ntawm kev rov qab ua dua.

Muaj ntau yam khoom ntawm ntuj tsim lossis cov khoom neeg tsim muaj hauv cov khoom ntawm fractals. Cov no muaj xws li cov kab mob ntawm cov txiv neej thiab tsiaj, cov yas thiab cov hauv paus ntoo thiab lwm yam.

Fractal lub computer graphics ua qhov nrov vim hais tias kev zoo nkauj thiab realism yuav ua tau tiav los ntawm kev siv yooj yim nrog kev pab los ntawm cov khoom tsim nyog. Koj tsuas yog yuav tsum qhia qhov tseeb ntawm cov zauv thiab qhia seb muaj pes tsawg tus rov qab ua dua.

Yuav ua li cas los tsim ib lub caij ntawm fractal graphics?

Kev tsim cov duab ntawm fractal yuav txawv ntawm nws qhov kev faib tawm: geometric, algebraic lossis stochastic. Dua li qhov sib txawv, tag nrho yuav tas li qub. Txij thaum fractal graphics pib nrog geometry, koj yuav tsum xav txog kev tsim nws nyob rau hauv piv txwv piv txwv:

1. Qhia meej txog qhov xwm txheej. Qhov no yog daim duab raws qhov uas tag nrho cov duab yuav raug txhim tsa.
2. Qhia meej txog tus txheej txheem. Nws converts tus mob.
3. Tau txais ib qho geometric fractal.

Feem ntau, pes tsawg tus mob yog sawv cev raws li daim duab peb sab.

Yuav kom tsim tau ib daim duab, koj yuav tsum thov ob txoj haujlwm. Ua ntej, DrawTriangle. Nws ua ib daim duab peb sab los ntawm cov ntsiab lus teev los ntawm tus neeg siv. Secondly, DrawGenerator. Nws qhia tias cov ntsiab lus tseem ceeb. Txhua tus txheej txheem tuaj yeem rov ua ntau zaus los yog tsis ntev. Los txiav txim qhov ntsuas no, siv cov lus sib cav zauv n.

Lwm cov yeeb yam nrog fractal graphics

Tom qab lub caij ntawm fractal graphics tau raug tsim lawm, nws tau ua ntau yam ntxiv nrog rau nws:

• Hloov thiab ncab. Yog li cov neeg paub txog ntawm daim duab nce, los yog lawv nqa daim ntawv xav tau los ntawm tus neeg siv.
• Grouping khoom. Feem ntau qhov kev ua no yog siv los muab cov ntawv teev cov lus teev cia.
• Hloov cov xim. Daim duab tau pleev xim rau hauv txhua qhov ntxoov ntxoo, teeb tsa lub suab nrov.
• Hloov cov duab ntawm tag nrho cov khoom los yog tus neeg qhov chaw.

Nws yuav tsum nco ntsoov tias cov dluab ntawm fractal graphics tsis tuaj yeem kwv yees thaum kawg. Thaum lub duab peb sab loj heev, qhov pom yuav tsis muaj tseeb, tus neeg siv yuav pom xwb qhov dub qhov rai. Thaum twg qhov kev ntxhib los mos xav pom, txhua yam hloov nrog nws yuav tsum tau ua raws li qhov kev txiav txim qis kawg, ua raws li cov lus tso cai ntawm txhua lub sijhawm.

Cov kev pab tsim tawm

Yog tsis muaj ib tug neeg zoo li uas tsis xav ua rau cov duab kos duab fractal. Cov kev pab cuam uas muaj feem xyuam rau nws txoj kev tsim muaj npe nyob hauv cov xov tooj coob. Yog li ntawd, peb yuav tsum to taub qhov tsim nyog rau cov neeg tshiab.

Daim duab Dabbler khoom yog qhov kev xaiv zoo tshaj plaws yog tias tus neeg siv tsis tau ua ntej nrog nws cov se. Ntawm no koj tuaj yeem tsis kawm cov duab, tab sis tseem kawm tau kos duab rau hauv lub computer. Lwm yam zoo muaj xws li ib qho me me ntawm kev nco thiab ib qho kev sib tshuam.

Lwm qhov kev kawm yog Ultra Fractal. Nws twb npaj rau txoj hauj lwm ntawm cov tub txawg, cov neeg tuaj tshiab yuav pom nws yooj yim to taub. Lub interface nov yog nyuab heev, tab sis cov tuam ntxhab tau ua nws ntawm qhov piv txwv ntawm cov duab Photoshop niaj zaus. Yog hais tias tus neeg siv tau nrog rau qhov kev pab cuam, ces cov nyees khawm mam li paub sai sai. Lub peculiarity ntawm Ultra Fractal yog tias tsis tsuas fractal graphics yog tseg no raws li tus qauv thiab qub duab, tab sis kuj animation. Cov qauv rau kev muab tso ua ke, tab sis yog tias tsim nyog, tus neeg siv yuav siv nws tus kheej.

Cov qauv tawm tshiab

Cov tawm tswv yim ntawm fractal graphics txiav txim siab rau daim ntawv thiab txoj kev khaws cov ntaub ntawv khaws cia. Ib txhia ntawm lawv muaj xws li cov lus qhia ntau heev. Yog li ntawd, lawv yuav tsum tau muab sib tov. Thiab ua li no tsis dhau archiving, tab sis ncaj qha rau hauv cov ntaub ntawv. Yog tias koj xaiv nws kom raug, qhov nias yuav tshwm sim tuaj. Muaj ob peb lub tswv yim rau txoj kev ua no.

Yog hais tias daim ntawv thov rau cov neeg siv, ntau ntawm cov uas yog pab nyob rau hauv ib tug nqaij daim tawv, nws yog tsim nyog los siv lub BMP hom thiab PCX. Ntawm no, qhov sib lawv liag ntawm qhov kev hloov rov qab.

Daim duab, uas yog tsawg kawg, tab sis tseem siv cov duab kos duab fractal, yog qhov tso rau hauv TIFF lossis GIF.

Qee cov ntawv tawm tswv yim yog universal. Ntawd yog, lawv tuaj yeem saib hauv cov editors. Tab sis yog tias tus neeg siv xav tau cov duab zoo zoo, ces koj yuav tsum tau thov cov kev pab cuam qub.

Fractal tawm tswv yim tsis txaus siab los ntawm browsers. Yog vim li cas lawv thiaj li hloov, yog tias xav tau xa mus rau ib qhov chaw tshwj xeeb.

Daim ntaub ntawv

Kev siv cov duab kos duab fractal tuaj yeem hu ua zoo heev. Tsis tas li ntawd, qhov chaw no yog pheej txuas ntxiv. Tam sim no, koj tuaj yeem nco tau cov nram qab no:

1. Lub computer graphics. Kev sib raug zoo thiab tej yam ntuj tso khoom muaj tseeb tiag. Qhov no siv rau hauv kev tsim cov tshuab computer.
2. Kev soj ntsuam ntawm kev lag luam Tshuag Fractals nov yog siv los cim cov lus rov qab, uas yuav tom qab ua lag luam ntawm tes.
3. Ntuj Sciences. Hauv physics, cov txheej txheem nonlinear raug qauv siv cov duab kos duab fractal. Nyob rau hauv biology, nws piav qhia txog cov qauv ntawm lub cev.
4. Hloov cov dluab kom txo cov lus qhia.
5. Tsim kom muaj ib lub network uas tsis ncaj ncees. Los ntawm txoj cai ntawm fractals nws yog ib qho ua tau los muab kev sib txuas ncaj ncaj, thiab tsis yog los ntawm kev tswj hwm hauv paus. Yog li, lub network ua ruaj khov.

Lub sijhawm tam sim no, kev siv cov pob txha hauv qhov tsim tau ntau yam khoom siv. Piv txwv li, ib qho khoom sib txuas tau twb tau pib los tsim cov khoom siv hluav taws xob uas txig tau qhov teeb meem.

Piv txwv

Piv txwv ntawm fractal graphics yog tshwm sim los ntawm txheej thaum ub mus rau cov ntsiab lus rov ua dua. Ib cim feature ntawm no hom yog tias tus qauv yuav tsum muaj tag nrho ntawm exclamation los yog lo lus nug tias.

Txheem, tab sis kuj ua piv txwv ntawm cov computer graphics fractal yog huab, roob, seashores thiab hais txog. Feem ntau lawv siv los tsim kev ua si.

Qhov simplest piv txwv yog cov Koch nkhaus. Ua ntej, nws tsis muaj qhov ntev, thiab nws yog hu ua infinite. Secondly, tsis muaj smoothness ntawm no. Yog li ntawd, nws tsis tuaj yeem tsim tau ib qho kev tangent.

Pros thiab Cons

Fractal graphics tau tsis ntev los no tau txais nws txoj kev faib tawm. Zoo thiab tsis zoo ntawm cov nws yog ib yam nkaus thiab vague, vim yog tsis muaj dab tsi theoretical puag. Cov ntsiab lus thiab cov qauv ntawm kev siv nws tsis yog to taub, txawm tias qhov tseeb tias lawv ua haujlwm zoo thiab ua haujlwm.

Qhov zoo ntawm cov duab kos duab fractal muaj ntau yam:

1. Me me loj me me nrog daim duab loj loj.
2. Yog tsis muaj qhov kawg ntawm kev nplua, qhov tsis yooj yim ntawm cov duab yuav ua kom tsis muaj zog.
3. Yog tsis muaj lwm yam khoom siv uas yuav cia koj tsim cov qauv duab.
4. Tiag tiag.
5. Simplicity hauv txoj haujlwm tsim.

Disadvantages ntawm fractal graphics tseem tuaj. Ua ntej, koj tuaj yeem ua tsis tau lub computer. Thiab, ntev dua cov naj npawb ntawm repetitions, qhov ntau tus processor yog loaded. Raws li, tsuas yog cov cuab yeej siv computer zoo nkaus xwb muaj peev xwm tiv thaiv nrog kev tsim kho ntawm cov duab sib txawv.

Secondly, muaj cov kev txwv nyob rau hauv thawj daim duab zauv. Ib co ntawm cov dluab los ua ib tug tsis los ntawm fractals.

Qhov sib thooj thiab qhov sib txawv ntawm qhov muaj pob zeb thiab lub vector

Vector thiab fractal graphics yog qhov sib txawv:

1. Image encoding. Cov vector siv cov kev hloov ntawm cov qauv duab sib txawv, fractal yog ib qho zauv raws li daim duab peb sab.
2. Rau daim ntawv thov. Vector yog siv txhua qhov chaw uas koj xav tau kom pom tseeb. Fractal graphics muaj ntau tshwj xeeb, nws tau pom nws daim ntawv thov kev ua lej thiab kos duab.
3. Los ntawm analogy. Vector analogs yog swb lossis ua haujlwm ntawm cov kab kos. Fractals muaj snowflakes lossis muaju.

Txawm tias muaj ntau haiv neeg ntawm cov txawv nta ntawm cov ob hom ntawm graphics combines cov duab zoo. Nws seem unchanged, tsis hais txog ntawm theem zoom.

Peb sab, vector, raster, fractal graphics zoo ib yam - tag nrho ntawm lawv yog siv los daws cov teeb meem ntau hauv computer. Yog xav tau ib daim duab zoo tshaj plaws, koj yuav tsum siv txhua yam ntawm lawv.

Cim nta xim ntawm fractals

Fractal graphics tsis muaj analogues. Nws yog tshwj xeeb nyob rau hauv nws zoo. Ua ntej, ib qho ntawm nws lub cuab ntxhiab me yuav qhia tau ib zaug txog tag nrho cov duab lossis duab. Cov ntaub ntawv hais txog tag nrho cov pob txha muaj tag nrho yog muaj, vim tias Nws yog qhov zoo sib xws.

Nyob rau ntawm qhov chaw ntawm cov duab uas muaj feem xyuam nrog hom duab no, nws yog ib qho kev sib npaug ntawm daim duab peb sab. Tag nrho lwm cov ntsiab lus ntawm qhov kos yog ob feem ntawm nws los yog me dua / cov ntawv luam loj dua. Ntawd yog, ib qho caij yuav siv ib feem hauv kev teeb tsa cov duab.

Yuav kom siv fractal graphics, tsis muaj cov khoom muab cia rau hauv lub computer lub cim xeeb. Koj tuaj yeem pib tsim nrog ib tus qauv zauv ntawm koj lub ntsis ntiv tes.

Xaus

Fractal graphics yog qhov tseeb tiag. Qhov no yog vim hais tias nws qhov chaw thiab cov ntsiab lus yog tas li ntsib nyob rau hauv ib puag ncig ntawm ib tug neeg - roob, huab, seashores, ntau yam ntuj tshwm sim. Ib txhia ntawm lawv nyob hauv tib lub xeev, xws li cov ntoo, qhov chaw stony. Tus so yog hloov tas li, xws li nplaim nplaim taws lossis cov ntshav tawm hauv cov hlab ntsha.

Kev txhim kho ntawm cov khoom cua pob txha muaj hnub no yog ib qho ntawm cov qauv kawm ntawm science. Nws siv tsis yog hauv computer graphics xwb. Tej zaum, yog hais tias cov kws tshawb fawb tau tswj kom mus rau hauv qab ntawm lawv cov essence, ib tug neeg yuav pib nkag siab lub ntiaj teb zoo dua.