See invisible motion, hear silent sounds. Cool? Creepy? We can't decide | Michael Rubinstein

319,928 views

2014-12-23 ・ TED


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See invisible motion, hear silent sounds. Cool? Creepy? We can't decide | Michael Rubinstein

319,928 views ・ 2014-12-23

TED


Dvaput kliknite na engleske titlove ispod za reprodukciju videozapisa.

Prevoditelj: Anja Kolobarić Recezent: Ivan Stamenković
00:13
So over the past few centuries, microscopes have revolutionized our world.
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Tijekom posljednjih stoljeća mikroskopi su promijenili naš svijet.
00:21
They revealed to us a tiny world of objects, life and structures
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Otkrili su nam maleni svijet predmeta, života i struktura
00:26
that are too small for us to see with our naked eyes.
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koje su premale da bismo ih vidjeli golim okom.
00:29
They are a tremendous contribution to science and technology.
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One su ogroman doprinos znanosti i tehnologiji.
00:32
Today I'd like to introduce you to a new type of microscope,
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Danas vam želim predstaviti novu vrstu mikroskopa -
00:35
a microscope for changes.
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mikroskop za promjene.
00:37
It doesn't use optics like a regular microscope
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Ne koristi optiku kao običan mikroskop
00:40
to make small objects bigger,
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koji uvećava manje objekte,
00:42
but instead it uses a video camera and image processing
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već koristi video-kameru i prerađuje sliku
00:47
to reveal to us the tiniest motions and color changes in objects and people,
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ne bi li nam otkrio najmanje pokrete i promjene boje predmeta i ljudi,
00:52
changes that are impossible for us to see with our naked eyes.
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pokrete koje je nemoguće vidjeti golim okom.
00:56
And it lets us look at our world in a completely new way.
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to nam omogućava da svijet promotrimo na potpuno nov način.
01:00
So what do I mean by color changes?
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Na što mislim pod "promjene u boji"?
01:02
Our skin, for example, changes its color very slightly
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Npr. naša koža gotovo nezamjetno mijenja boju
01:05
when the blood flows under it.
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dok krv teče ispod nje.
01:07
That change is incredibly subtle,
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To je izuzetno neprimjetna promjena,
01:09
which is why, when you look at other people,
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a upravo zato kada gledate druge ljude,
01:11
when you look at the person sitting next to you,
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kada gledate osobu koja sjedi do vas,
01:13
you don't see their skin or their face changing color.
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ne vidite kako njezina koža ili njezino lice mijenja boju.
01:17
When we look at this video of Steve here, it appears to us like a static picture,
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Kada gledamo ovaj video o Steveu, izgleda nam kao statična slika,
01:21
but once we look at this video through our new, special microscope,
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ali nakon što ga pogledamo kroz naš nov, poseban mikroskop,
01:25
suddenly we see a completely different image.
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odjednom vidimo sasvim drugačiju sliku.
01:28
What you see here are small changes in the color of Steve's skin,
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Ovdje vidite male promjene u Steveovoj boji kože
01:32
magnified 100 times so that they become visible.
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koja je povećana 100 puta ne bi li te promjene postale vidljive.
01:36
We can actually see a human pulse.
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Možemo zaista vidjeti čovjekov puls.
01:39
We can see how fast Steve's heart is beating,
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Možemo vidjeti koliko brzo kuca Steveovo srce,
01:43
but we can also see the actual way that the blood flows in his face.
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ali možemo vidjeti i kako mu točno krv teče u lice.
01:48
And we can do that not just to visualize the pulse,
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To možemo učiniti ne samo za vizualizaciju pulsa
01:51
but also to actually recover our heart rates,
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nego i za umirivanje otkucaja srca
01:54
and measure our heart rates.
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i mjerenje brzine njegova otkucaja.
01:56
And we can do it with regular cameras and without touching the patients.
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To možemo učiniti pomoću običnih kamera, bez da uopće dotaknemo pacijenta.
02:00
So here you see the pulse and heart rate we extracted from a neonatal baby
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Ovdje vidite puls i otkucaje srca neonatalne bebe izvučenog
02:06
from a video we took with a regular DSLR camera,
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iz videa snimljenog običnom DSLR-kamerom,
02:09
and the heart rate measurement we get
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a broj otkucaja srca jednako je
02:11
is as accurate as the one you'd get with a standard monitor in a hospital.
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precizan kao i onaj kojeg dobijete klasičnim pregledom u bolnici.
02:16
And it doesn't even have to be a video we recorded.
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To čak ne mora biti ni video koji smo mi osobno snimili.
02:18
We can do it essentially with other videos as well.
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Možemo to učiniti i s drugim videima.
02:21
So I just took a short clip from "Batman Begins" here
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Ovdje imam kratki isječak iz filma "Batman: Početak",
02:25
just to show Christian Bale's pulse.
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samo da vam pokažem Baleov puls.
02:27
(Laughter)
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(Smijeh)
02:29
And you know, presumably he's wearing makeup,
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Samo da znate, vjerojatno je našminkan,
02:31
the lighting here is kind of challenging,
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osvjetljenje je pravi izazov.
02:33
but still, just from the video, we're able to extract his pulse
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a ipak, samo na osnovu snimke možemo izvući njegov puls
02:36
and show it quite well.
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i prilično ga precizno prikazati.
02:38
So how do we do all that?
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Kako sad to?
02:40
We basically analyze the changes in the light that are recorded
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Analiziramo snimljene promjene u svjetlu
02:44
at every pixel in the video over time,
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na svakom snimljenom pikselu
02:47
and then we crank up those changes.
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i onda ih dodatno pojačamo.
02:48
We make them bigger so that we can see them.
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Povećamo ih kako bismo ih mogli vidjeti.
02:51
The tricky part is that those signals,
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Problematično je to što su ti signali,
02:52
those changes that we're after, are extremely subtle,
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te promjene koje tražimo iznimno suptilni
02:55
so we have to be very careful when you try to separate them
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i moramo biti jako oprezni kad ih pokušavamo razdvojiti
02:58
from noise that always exists in videos.
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od buke koje uvijek ima na snimkama.
03:02
So we use some clever image processing techniques
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Služimo se pametnim tehnikama računalne obrade slike
03:05
to get a very accurate measurement of the color at each pixel in the video,
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ne bismo li dobili iznimno točna mjerenja boje na svakom pikselu,
03:09
and then the way the color changes over time,
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a onda i mjerenja postupnih promjena boje
03:12
and then we amplify those changes.
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koje zatim pojačamo.
03:14
We make them bigger to create those types of enhanced videos, or magnified videos,
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Povećamo ih ne bismo li stvorili onakve povećane videe
03:18
that actually show us those changes.
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koji uistinu pokazuju te promjene,
03:21
But it turns out we can do that not just to show tiny changes in color,
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ali ispada da to nije dobro samo za malene promjene u boji
03:25
but also tiny motions,
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već i za malene pokrete,
03:27
and that's because the light that gets recorded in our cameras
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a to je zato što će se svjetlo koje naše kamere snimaju
03:31
will change not only if the color of the object changes,
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promijeniti ne samo ako se boja predmeta promijeni
03:33
but also if the object moves.
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već i ako se predmet pokrene.
03:36
So this is my daughter when she was about two months old.
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Ovo je moja kćer s otprilike dva mjeseca.
03:39
It's a video I recorded about three years ago.
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Video je snimljen prije neke tri godine.
03:42
And as new parents, we all want to make sure our babies are healthy,
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Kao mladi roditelji svi mi želimo da nam djeca budu zdrava,
03:46
that they're breathing, that they're alive, of course.
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da dišu i, naravno, da su živa.
03:48
So I too got one of those baby monitors
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Stoga sam i ja nabavio "baby monitor"
03:50
so that I could see my daughter when she was asleep.
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ne bih li pazio na kćer i dok spava.
03:53
And this is pretty much what you'll see with a standard baby monitor.
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Sve to imate i na klasičnom baby monitoru.
03:56
You can see the baby's sleeping, but there's not too much information there.
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Vidite da dijete spava, ali nemate nikakvih dodatnih informacija.
04:00
There's not too much we can see.
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Nema se baš što vidjeti.
04:02
Wouldn't it be better, or more informative, or more useful,
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Ne bi li bilo bolje, informativnije i korisnije
04:04
if instead we could look at the view like this.
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kad bismo mogli vidjeti ovo?
04:07
So here I took the motions and I magnified them 30 times,
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Pokrete sam uvećao trideset puta.
04:14
and then I could clearly see that my daughter was indeed alive and breathing.
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Po njima sam jasno vidio da mi je kćer živa i da diše.
04:18
(Laughter)
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(Smijeh)
04:20
Here is a side-by-side comparison.
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Ovdje imamo usporedni prikaz.
04:22
So again, in the source video, in the original video,
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Kao što sam već rekao, u originalnom videu
04:24
there's not too much we can see,
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nema se baš što vidjeti,
04:26
but once we magnify the motions, the breathing becomes much more visible.
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no kada uvećamo pokrete, disanje postaje uočljivije.
04:30
And it turns out, there's a lot of phenomena
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Izgleda da ima mnogo fenomena
04:32
we can reveal and magnify with our new motion microscope.
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koje možemo otkriti i povećati našim novim mikroskopom za pokret.
04:35
We can see how our veins and arteries are pulsing in our bodies.
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Možemo vidjeti kako nam vene i arterije pulsiraju tijelom.
04:40
We can see that our eyes are constantly moving
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Možemo vidjeti kako nam se oči
04:42
in this wobbly motion.
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ljuljuškaju.
04:44
And that's actually my eye,
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Ovo je moje oko.
04:46
and again this video was taken right after my daughter was born,
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I video je snimljen odmah nakon rođenja kćeri,
04:49
so you can see I wasn't getting too much sleep. (Laughter)
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dakle nisam baš puno spavao. (Smijeh)
04:53
Even when a person is sitting still,
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Čak i kad osoba mirno sjedi,
04:56
there's a lot of information we can extract
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mnogo informacija možemo izvući
04:58
about their breathing patterns, small facial expressions.
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iz njezinog disanja i mikrofacijalnih ekspresija.
05:01
Maybe we could use those motions
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Možda ih možemo iskoristiti
05:03
to tell us something about our thoughts or our emotions.
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kako bismo saznali nešto o našim mislima ili emocijama.
05:06
We can also magnify small mechanical movements,
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Možemo povećati i male mehaničke pokrete
05:09
like vibrations in engines,
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poput vibracija motora koje bi
05:11
that can help engineers detect and diagnose machinery problems,
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inženjerima pomogle u pronalaženju i dijagnosticiranju mehaničkih problema
05:15
or see how our buildings and structures sway in the wind and react to forces.
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ili u izučavanju kako se građevine njišu na vjetru i reagiraju na sile.
05:19
Those are all things that our society knows how to measure in various ways,
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Sve su to stvari koje čovječanstvo može izmjeriti na razne načine,
05:24
but measuring those motions is one thing,
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ali njihovo je mjerenje jedna stvar,
05:26
and actually seeing those motions as they happen
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a njihovo promatranje dok se zaista događaju
05:29
is a whole different thing.
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potpuno je druga stvar.
05:31
And ever since we discovered this new technology,
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Otkad smo otkrili tu novu tehnologiju,
05:34
we made our code available online so that others could use and experiment with it.
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objavili smo taj kod online ne bi li ga i drugi mogli isprobati.
05:38
It's very simple to use.
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Vrlo je jednostavan za uporabu.
05:40
It can work on your own videos.
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Možete ga koristiti na vlastitim snimkama.
05:42
Our collaborators at Quanta Research even created this nice website
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Naši suradnici u Quanta Researchu stvorili su ovu zgodnu stranicu
05:45
where you can upload your videos and process them online,
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gdje možete učitati svoje snimke i tamo ih obrađivati,
05:48
so even if you don't have any experience in computer science or programming,
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pa čak i ako nemate nikakvog iskustva s računarstvom i programiranjem,
05:52
you can still very easily experiment with this new microscope.
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možete vrlo lako eksperimentirati s ovim novim mikroskopom.
05:55
And I'd like to show you just a couple of examples
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Htio bih vam pokazati tek nekoliko primjera
05:57
of what others have done with it.
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tuđih eksperimenata.
06:00
So this video was made by a YouTube user called Tamez85.
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Ovaj je video napravio korisnik YT-a pod korisničkim imenom "Tamez85".
06:05
I don't know who that user is,
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Ne znam tko je to,
06:07
but he, or she, used our code
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ali on/a je iskoristio naš kod
06:09
to magnify small belly movements during pregnancy.
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ne bi li uvećao male pokrete trbuha tijekom trudnoće.
06:13
It's kind of creepy.
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Malo je jezivo.
06:14
(Laughter)
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(Smijeh)
06:16
People have used it to magnify pulsing veins in their hands.
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Ljudi su ga koristili ne bi li povećali pulsirajuće vene na rukama.
06:21
And you know it's not real science unless you use guinea pigs,
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To ne bi bila prava znanost da se nije koristio zamorac,
06:25
and apparently this guinea pig is called Tiffany,
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ovo je zamorac Tiffany,
06:28
and this YouTube user claims it is the first rodent on Earth
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a ovaj korisnik YT-a tvrdi da je to prvi glodavac na Zemlji
06:31
that was motion-magnified.
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čije su kretnje uvećane.
06:34
You can also do some art with it.
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Možete ga koristiti i u umjetničke svrhe.
06:36
So this video was sent to me by a design student at Yale.
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Ovo mi je poslala studentica dizajna na Yaleu.
06:39
She wanted to see if there's any difference
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Htjela je vidjeti postoji li ikakva razlika
06:41
in the way her classmates move.
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u načinu kretanja njenih kolega.
06:43
She made them all stand still, and then magnified their motions.
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Natjerala ih je da mirno stoje, a onda je uvećala njihove pokrete.
06:47
It's like seeing still pictures come to life.
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Kao da gledate kako nepomične slike oživljavaju.
06:50
And the nice thing with all those examples
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Ono što je dobro sa svim tim primjerima
06:53
is that we had nothing to do with them.
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jest to da mi nismo imali nikakve veze s njima.
06:55
We just provided this new tool, a new way to look at the world,
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Mi smo ljudima samo dali taj novi alat, nov način gledanja na svijet,
06:59
and then people find other interesting, new and creative ways of using it.
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a onda su oni našli nove, zanimljive i kreativne načine njegova korištenja.
07:04
But we didn't stop there.
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No nismo se zaustavili samo na tome.
07:06
This tool not only allows us to look at the world in a new way,
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Taj alat ne samo da nam omogućava da svijet promatramo na drugi način
07:09
it also redefines what we can do
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već i redefinira što možemo raditi
07:11
and pushes the limits of what we can do with our cameras.
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i pomiče granice toga što možemo raditi s našim kamerama.
07:15
So as scientists, we started wondering,
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Kao znanstvenici počeli smo se pitati
07:17
what other types of physical phenomena produce tiny motions
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koji još fizički fenomeni proizvode malene pokrete
07:21
that we could now use our cameras to measure?
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koje bismo mogli izmjeriti kamerama.
07:23
And one such phenomenon that we focused on recently is sound.
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Jedan takav fenomen na koji smo se nedavno usredotočili jest zvuk.
07:27
Sound, as we all know, is basically changes
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Zvuk, kao što već znamo, predstavlja promjene
07:30
in air pressure that travel through the air.
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u tlaku zraka koje putuju zrakom.
07:32
Those pressure waves hit objects and they create small vibrations in them,
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Ti tlačni valovi udaraju o predmete i u njima stvaraju malene vibracije,
07:35
which is how we hear and how we record sound.
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a tako čujemo i snimamo zvukove.
07:38
But it turns out that sound also produces visual motions.
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No ispada da zvuk proizvodi i vizualne pokrete.
07:42
Those are motions that are not visible to us
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To su pokreti koji nama nisu vidljivi,
07:44
but are visible to a camera with the right processing.
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ali jesu vidljivi kameri koja je za to opremljena.
07:47
So here are two examples.
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Evo dva primjera.
07:49
This is me demonstrating my great singing skills.
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Tu ja demonstriram svoje sjajne pjevačke sposobnosti.
07:53
(Singing)
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(Pjevanje)
07:54
(Laughter)
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(Smijeh)
07:56
And I took a high-speed video of my throat while I was humming.
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Ubrzao sam video svog grla dok sam pjevušio.
07:59
Again, if you stare at that video,
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Ako se zagledate u video,
08:00
there's not too much you'll be able to see,
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nemate tu što vidjeti,
08:02
but once we magnify the motions 100 times, we can see all the motions and ripples
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ali kad pokrete uvećamo 100 puta, vidimo sve pokrete i mreškanja
08:07
in the neck that are involved in producing the sound.
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u vratu koja su zadužena za proizvodnju zvuka.
08:10
That signal is there in that video.
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Taj je signal u videu.
08:13
We also know that singers can break a wine glass
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Znamo da pjevači mogu razbiti čaše za vino
08:15
if they hit the correct note.
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ako pogode pravi ton.
08:17
So here, we're going to play a note
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Sada ćemo odsvirati ton
08:19
that's in the resonance frequency of that glass
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koja je u istoj frekvenciji kao i čaša
08:21
through a loudspeaker that's next to it.
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kroz zvučnik pored nje.
08:23
Once we play that note and magnify the motions 250 times,
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Kad odsviramo taj ton i povećamo pokrete 250 puta,
08:28
we can very clearly see how the glass vibrates
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jasno vidimo kako čaša vibrira
08:30
and resonates in response to the sound.
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i odjekuje kao reakcija na zvuk.
08:34
It's not something you're used to seeing every day.
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To se ne vidi baš svaki dan,
08:36
But this made us think. It gave us this crazy idea.
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što nas je natjeralo na razmišljanje. Došli smo na jednu ludu ideju.
08:40
Can we actually invert this process and recover sound from video
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Mogli bismo preokrenuti taj proces i povratiti zvuk iz videa
08:45
by analyzing the tiny vibrations that sound waves create in objects,
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analizirajući malene vibracije koje zvukovi stvaraju na predmetima
08:49
and essentially convert those back into the sounds that produced them.
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i ponovno ih pretvoriti u zvukove koji su ih i proizveli.
08:54
In this way, we can turn everyday objects into microphones.
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Na taj način obične predmete možemo pretvoriti u mikrofone.
08:58
So that's exactly what we did.
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I učinili smo upravo to.
09:01
So here's an empty bag of chips that was lying on a table,
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Ovo je prazna vrećica čipsa koja je bila na stolu
09:03
and we're going to turn that bag of chips into a microphone
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i pretvorit ćemo je u mikrofon
09:06
by filming it with a video camera
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snimajući je kamerom
09:08
and analyzing the tiny motions that sound waves create in it.
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i analizirajući majušne pokrete koje stvaraju zvučni valovi.
09:11
So here's the sound that we played in the room.
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Ovo je sviralo u sobi.
09:14
(Music: "Mary Had a Little Lamb")
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(Glazba: "Mary Had a Little Lamb")
09:22
And this is a high-speed video we recorded of that bag of chips.
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Ovo je ubrzani video snimljene vrećice čipsa.
09:25
Again it's playing.
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Ponovno puštamo.
09:26
There's no chance you'll be able to see anything going on in that video
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Nema šanse da možete vidjeti da se na tom videu nešto događa
09:29
just by looking at it,
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samo gledajući ga,
09:30
but here's the sound we were able to recover just by analyzing
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ali evo zvuka koji smo uspjeli dobiti samo analizirajući
09:33
the tiny motions in that video.
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malene pokrete na toj snimci.
09:35
(Music: "Mary Had a Little Lamb")
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(Glazba: "Mary Had a Little Lamb")
09:52
I call it -- Thank you.
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Ja to nazivam -- hvala vam.
09:54
(Applause)
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(Pljesak)
10:01
I call it the visual microphone.
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Nazivam to vizualnim mikrofonom.
10:04
We actually extract audio signals from video signals.
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Izdvajamo zvučne signale iz videosignala.
10:07
And just to give you a sense of the scale of the motions here,
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Samo da vam malo približim tu skalu pokreta --
10:10
a pretty loud sound will cause that bag of chips to move less than a micrometer.
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prilično glasan zvuk pomaknut će vrećicu čipsa za manje od mikrometra.
10:16
That's one thousandth of a millimeter.
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To je tisućina milimetra.
10:18
That's how tiny the motions are that we are now able to pull out
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Toliko su maleni pokreti koje sada možemo izvući
10:22
just by observing how light bounces off objects
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samo promatranjem kako svjetlo odskakuje od predmeta
10:25
and gets recorded by our cameras.
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i kako ga naše kamere hvataju.
10:27
We can recover sounds from other objects, like plants.
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Možemo povratiti zvukove i iz drugih predmeta, poput biljaka.
10:31
(Music: "Mary Had a Little Lamb")
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(Glazba: "Mary Had a Little Lamb")
10:39
And we can recover speech as well.
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A možemo povratiti i govor.
10:41
So here's a person speaking in a room.
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Ovdje osoba govori u prostoriji.
10:43
Voice: Mary had a little lamb whose fleece was white as snow,
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Glas: Marija je imala malo janje čija vuna bijaše bijela poput snijega
10:47
and everywhere that Mary went, that lamb was sure to go.
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i gdjegod da bi Marija pošla, pošlo bi i janje s njom.
10:52
Michael Rubinstein: And here's that speech again recovered
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Michael Rubinstein: A evo i tog govora koji smo povratili
10:54
just from this video of that same bag of chips.
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samo iz videa one iste vrećice čipsa.
10:58
Voice: Mary had a little lamb whose fleece was white as snow,
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Glas: Marija je imala malo janje čija vuna bijaše bijela poput snijega
11:03
and everywhere that Mary went, that lamb was sure to go.
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i gdjegod da bi Marija pošla, pošlo bi i janje s njom.
11:07
MR: We used "Mary Had a Little Lamb"
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MR: Koristili smo "Mary Had a Little Lamb"
11:10
because those are said to be the first words
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zato što su to prve riječi
11:12
that Thomas Edison spoke into his phonograph in 1877.
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koje je Thomas Edison 1877. godine izgovorio u svoj fonograf.
11:16
It was one of the first sound recording devices in history.
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Bio je to jedan od prvih uređaja za snimanje glasa u povijesti.
11:19
It basically directed the sounds onto a diaphragm
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Uređaj je zvukove preusmjeravao u dijafragmu
11:23
that vibrated a needle that essentially engraved the sound on tinfoil
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od koje je vibrirala iglica koja je gravirala zvuk u alu-foliju
11:27
that was wrapped around the cylinder.
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koja je bila omotana oko cilindra.
11:29
Here's a demonstration of recording and replaying sound with Edison's phonograph.
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Evo demonstracije snimanja i reprodukcije zvuka Edisonovim gramofonom.
11:35
(Video) Voice: Testing, testing, one two three.
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(Video) Glas: Test, test, jedan, dva, tri.
11:38
Mary had a little lamb whose fleece was white as snow,
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Marija je imala malo janje čija vuna bijaše bijela poput snijega
11:41
and everywhere that Mary went, the lamb was sure to go.
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i gdjegod da bi Marija pošla, pošlo bi i janje s njom.
11:45
Testing, testing, one two three.
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Test, test, jedan, dva, tri.
11:48
Mary had a little lamb whose fleece was white as snow,
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Marija je imala malo janje čija vuna bijaše bijela poput snijega
11:52
and everywhere that Mary went, the lamb was sure to go.
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i gdjegod da bi Marija pošla, pošlo bi i janje s njom.
11:57
MR: And now, 137 years later,
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MR: A sada, 137 godina kasnije
12:01
we're able to get sound in pretty much similar quality
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možemo dobiti zvuk slične kvalitete,
12:05
but by just watching objects vibrate to sound with cameras,
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ali putem kamera - promatranjem kako predmeti vibriraju na zvukove,
12:09
and we can even do that when the camera
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a možemo to raditi i onda kad je kamera
12:11
is 15 feet away from the object, behind soundproof glass.
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udaljena od predmeta pet metara, iza zvučno izoliranog stakla.
12:15
So this is the sound that we were able to recover in that case.
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Ovo je zvuk koji smo uspjeli povratiti u jednom takvom slučaju.
12:19
Voice: Mary had a little lamb whose fleece was white as snow,
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Marija je imala malo janje čija vuna bijaše bila bijela poput snijega
12:24
and everywhere that Mary went, the lamb was sure to go.
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i gdjegod da bi Marija pošla, pošlo bi i janje s njom.
12:29
MR: And of course, surveillance is the first application that comes to mind.
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MR: Naravno, odmah se sjetite mogućnosti nadzora.
12:33
(Laughter)
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(Smijeh)
12:36
But it might actually be useful for other things as well.
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Ali može biti korisno i za neke druge stvari.
12:40
Maybe in the future, we'll be able to use it, for example,
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U budućnosti ćemo ga možda moći koristiti i za, npr.
12:42
to recover sound across space,
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reprodukciju zvukova iz svemira
12:45
because sound can't travel in space, but light can.
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jer zvuk ne može putovati svemirom, ali svjetlo može.
12:48
We've only just begun exploring
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Tek smo počeli istraživati
12:51
other possible uses for this new technology.
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druge mogućnosti korištenja te nove tehnologije.
12:54
It lets us see physical processes that we know are there
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Daje nam da vidimo fizikalne procese koji znamo da postoje,
12:57
but that we've never been able to see with our own eyes until now.
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ali koje nismo mogli vidjeti vlastitim očima - sve dosad.
13:00
This is our team.
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Ovo je naš tim.
13:01
Everything I showed you today is a result of a collaboration
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Sve što sam vam danas pokazao rezultat je suradnje
13:04
with this great group of people you see here,
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s ovom sjajnom grupom ljudi koju tu vidite,
13:06
and I encourage you and welcome you to check out our website,
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a potičem vas da posjetite našu web-stranicu,
13:10
try it out yourself,
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sami isprobate
13:11
and join us in exploring this world of tiny motions.
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i pridružite nam se u otkrivanju svijeta mini-pokreta.
13:14
Thank you.
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Hvala vam.
13:16
(Applause)
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(Pljesak)
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