1 00:00:00,395 --> 00:00:06,133 I wanna talk a little bit more about reflection and specular and diffuse reflection in particular 2 00:00:06,133 --> 00:00:11,067 and to start of, I wanna make a minor correction to the last video, and it's actually a pretty interesting 3 00:00:11,067 --> 00:00:13,000 correction because in this image right here 4 00:00:13,000 --> 00:00:14,800 I talked about a double reflection 5 00:00:14,800 --> 00:00:18,733 I talked about the light from the sun hitting this pond 6 00:00:18,733 --> 00:00:22,733 or specularly reflecting off of the surface of this pond 7 00:00:22,733 --> 00:00:26,889 and than reflecting off of this paddle to get to our eye 8 00:00:26,889 --> 00:00:29,304 and when I said where the light ray was passing 9 00:00:29,304 --> 00:00:36,000 in the last video, I said "it goes from the sun to this point-to this point on the surface 10 00:00:36,000 --> 00:00:37,733 cause that's where we saw the reflection 11 00:00:37,733 --> 00:00:40,472 and I said, "than from that point to this point of the paddle 12 00:00:40,472 --> 00:00:42,733 than to our eye that the correction here 13 00:00:42,733 --> 00:00:45,558 --and someone pointed this out on the message board and it's a very good catch-- 14 00:00:45,558 --> 00:00:50,225 is that this point is where the light if reflecting to our eye 15 00:00:50,225 --> 00:00:52,709 so that because we see it, we see the sun there 16 00:00:52,709 --> 00:00:57,267 so this light ray right here is coming directly to, directly to 17 00:00:57,267 --> 00:00:59,629 someone's eye-let me draw someone's eye right there 18 00:00:59,629 --> 00:01:02,467 or our eye, our eye coming straight out of the page 19 00:01:02,467 --> 00:01:06,400 the light that got reflected here is going to be reflected 20 00:01:06,400 --> 00:01:07,867 a little bit more shallowly 21 00:01:07,867 --> 00:01:10,960 so it came from the sun, it came from the sun 22 00:01:10,960 --> 00:01:14,722 now obviously this won't be exact, but it came from the sun 23 00:01:14,722 --> 00:01:19,134 it probably had a slightly more shallow (uh uh) angle of incidence 24 00:01:19,134 --> 00:01:22,222 or angle between the ray and the surface 25 00:01:22,222 --> 00:01:24,200 and than it would have gotten to 26 00:01:24,200 --> 00:01:27,214 than it would have gotten to the paddle 27 00:01:27,214 --> 00:01:31,067 than it would have gotten to the paddle, than it would get to our eye 28 00:01:31,067 --> 00:01:31,742 and I wanna make clear 29 00:01:31,742 --> 00:01:34,227 we don't see the sun at the point that it is reflected 30 00:01:34,227 --> 00:01:38,133 because that light that image of the sun is going to the paddle 31 00:01:38,133 --> 00:01:39,933 which than goes to our eye 32 00:01:39,933 --> 00:01:42,800 the point where we see the sun-the reflection of the sun 33 00:01:42,800 --> 00:01:45,467 that light's going straight into our eye 34 00:01:45,467 --> 00:01:47,467 it wouldn't have to be reflected by the paddle 35 00:01:47,467 --> 00:01:51,293 so that was an interesting and good catch when you think about the double reflection 36 00:01:51,293 --> 00:01:53,638 the other thing I wanna talk about 37 00:01:53,638 --> 00:01:58,724 is when you have both specular and diffuse reflection happening at the same time 38 00:01:58,724 --> 00:02:00,200 now, we see this all over the place 39 00:02:00,200 --> 00:02:02,400 any time you see kind of a shiny object 40 00:02:02,400 --> 00:02:04,600 something that's not a mirror, but it's a shiny object 41 00:02:04,600 --> 00:02:08,000 and we see that right here in the apple, just to make this clear 42 00:02:08,000 --> 00:02:13,067 so you can see, this-this- white part right here, which we've all seen on a nicely waxed apple 43 00:02:13,067 --> 00:02:16,208 this is, it's like a reflection of the actually light source 44 00:02:16,208 --> 00:02:19,867 while everywhere else, it's just kind of the color of the apple 45 00:02:19,867 --> 00:02:21,270 let's think about what's happening here 46 00:02:21,270 --> 00:02:26,133 so if I were to draw the surface, if I were to draw the surface of the apple 47 00:02:26,133 --> 00:02:29,333 let me draw it, let me draw it in a neutral color 48 00:02:29,333 --> 00:02:32,555 so let's say we have the surface of the apple right over here 49 00:02:32,555 --> 00:02:36,000 we have the surface of the apple right over there 50 00:02:36,000 --> 00:02:40,800 and than maybe I'll draw it as a slight circle, just so you can appreciate that it's a circular apple 51 00:02:40,800 --> 00:02:42,533 so the surface of the apple right over here 52 00:02:42,533 --> 00:02:46,557 you have some light source, so you have some light source 53 00:02:46,557 --> 00:02:50,551 ,so if you have some light source over here 54 00:02:50,551 --> 00:02:53,639 and it's, and it's emitting light 55 00:02:53,639 --> 00:02:59,067 so it is emitting light in some direction, onto the surface of the apple 56 00:02:59,067 --> 00:03:00,800 and what's happening on the surface of the apple, there's 57 00:03:00,800 --> 00:03:02,067 there's a couple of things that's happening 58 00:03:02,067 --> 00:03:07,667 you're having some of this light is reflecting specularly 59 00:03:07,667 --> 00:03:12,215 or, another way of thinking about it is it's maintaining the image, a little of it, but not all of it 60 00:03:12,215 --> 00:03:14,800 so let me just draw it, so if you're coming in at that incident angle 61 00:03:14,800 --> 00:03:18,972 you're going to leave at that reflected angle 62 00:03:18,972 --> 00:03:23,476 and if you came in at this incident angle, you're going to leave at that reflected angle 63 00:03:23,476 --> 00:03:27,000 and if you came in at this incident angle, going to leave at that reflected angle 64 00:03:27,000 --> 00:03:31,200 and I'm doing dotted lines to show that it's not all of the light that's getting reflected that way 65 00:03:31,200 --> 00:03:34,267 only some of the light is getting that specular reflection 66 00:03:34,267 --> 00:03:37,000 ,but if someone, if this light were to be reaching your eye 67 00:03:37,000 --> 00:03:48,467 if, let me draw a proper face, so let's say this is someone's face right here that someone's, that's there ear, or there hair 68 00:03:48,467 --> 00:03:50,133 that's there eyebrows, that's there moustacche 69 00:03:50,133 --> 00:03:52,803 and, I think you get the general idea 70 00:03:52,803 --> 00:03:57,215 so this person will see a reasonably good version of the light source 71 00:03:57,215 --> 00:04:00,071 which we see right over here, but what's going on the rest of the apple 72 00:04:00,071 --> 00:04:03,670 or even over here, so some of the light is reflecting specularly 73 00:04:03,670 --> 00:04:05,400 it's kind of maintaining the image of the light source 74 00:04:05,400 --> 00:04:07,269 although that's getting distorted a little bit 75 00:04:07,269 --> 00:04:10,636 but the rest of the light, the rest of the light 76 00:04:10,636 --> 00:04:14,800 and let me be clear here- the rest of-some of it is being absorbed 77 00:04:14,800 --> 00:04:18,067 some of it is being absorbed by the actual surface of the apple 78 00:04:18,067 --> 00:04:23,000 but the rest of it reflecting red light, what we see is actually what the light, apple does not absorb 79 00:04:23,000 --> 00:04:27,215 what the apple is reflecting, but that red light that mainly red 80 00:04:27,215 --> 00:04:28,887 I mean it's a bunch of different shades over here 81 00:04:28,887 --> 00:04:35,933 is reflecting diffusely, so that pure light comes in here, some of the pure light get reflected specularly 82 00:04:35,933 --> 00:04:41,635 or kind of purely maintaining the image, but some of it, because the surface of the apple isn't smooth 83 00:04:41,635 --> 00:04:47,138 is going in all sorts of directions, so of it's going like that, some of it's going like that 84 00:04:47,138 --> 00:04:50,600 some of it's going like that, and that's happening at every 85 00:04:50,600 --> 00:04:53,267 at every point on the apple, so that light source 86 00:04:53,267 --> 00:04:57,889 let me draw more of the light source, so rays coming in, and rays coming in from our light source 87 00:04:57,889 --> 00:05:01,976 but every point of the apple is also having this diffuse reflection 88 00:05:01,976 --> 00:05:08,400 which is reflecting only the red part of the spectrum, it's absorbing all of the other parts of the spectrum 89 00:05:08,400 --> 00:05:13,307 and, so what you see is, that point where you're getting the pure specular 90 00:05:13,307 --> 00:05:16,627 the pure specular reflections, that's the point that looks shiny 91 00:05:16,627 --> 00:05:18,601 where you can kind of see the light source 92 00:05:18,601 --> 00:05:26,733 and from every other point on the apple, where only this guy right here's only getting the diffuse red light 93 00:05:26,733 --> 00:05:33,090 and that's why, if you move the apple, or actually even better, if you move where you're looking at the apple 94 00:05:33,090 --> 00:05:36,667 that, point of reflection's gonna look, like if I start looking at it from this direction 95 00:05:36,667 --> 00:05:39,754 I'm gonna get a different point of reflection, cause I'm gonna start seeing the light 96 00:05:39,754 --> 00:05:44,166 though let's see, let's say that someone's eyeball is right, actually right over here 97 00:05:44,166 --> 00:05:50,273 so that's their eyebrows, that's their eyeball, that's their nose, you get the general idea 98 00:05:50,273 --> 00:05:54,429 so let's say that this person, let's say that this person, that's their ear 99 00:05:54,429 --> 00:05:56,400 there, I don't wanna get too involved in the drawing 100 00:05:56,400 --> 00:06:01,667 so let's say that this person is looking at this supper ginormous apple now relatively to him 101 00:06:01,667 --> 00:06:03,667 he is not gonna see this white spot there 102 00:06:03,667 --> 00:06:07,270 he is gonna see the white spot on the point where it looks like 103 00:06:07,270 --> 00:06:10,800 where he's getting the right angle, where, where the rays are coming in 104 00:06:10,800 --> 00:06:11,733 let me do it in a different color 105 00:06:11,733 --> 00:06:14,747 so let's say, let's say the light source is above us 106 00:06:14,747 --> 00:06:16,867 so the light source is coming straight down 107 00:06:16,867 --> 00:06:20,333 is coming straight down to the apple and than if it's the right angle 108 00:06:20,333 --> 00:06:24,933 if the angle of incidence and the angle of reflection relative to the surface of the apple 109 00:06:24,933 --> 00:06:29,200 and we can draw that out, we can draw it perpendicular to the surface of the apple 110 00:06:29,200 --> 00:06:34,089 this is the angle of incidence, this is the angle of reflection 111 00:06:34,089 --> 00:06:36,867 so those points, at that point right there he's getting a little bit 112 00:06:36,867 --> 00:06:37,804 and I should draw a dotted line 113 00:06:37,804 --> 00:06:43,200 he's getting a little bit of the, of the specular reflection, but from every other point 114 00:06:43,200 --> 00:06:48,933 so for every other point on the apple, so over here, the specular reflection would go that way 115 00:06:48,933 --> 00:06:52,133 not to his eyes, or it would go that way, not to his eyes 116 00:06:52,133 --> 00:06:55,133 but from those points you also have some of the diffuse reflections 117 00:06:55,133 --> 00:06:59,467 and some of that is going to his eye in terms of red 118 00:06:59,467 --> 00:07:03,439 the red part of the frequency is getting to his eye from all of these other random directions 119 00:07:03,439 --> 00:07:07,533 and that's why this guy over here, he would see this, this reflection 120 00:07:07,533 --> 00:07:12,800 he would see this reflection rougly over here, and all of this other part of the apple would look red 121 00:07:12,800 --> 00:07:15,133 and we, since we're on this side of the apple, we see the reflection point 122 00:07:15,133 --> 00:07:19,600 the light is coming straight down from our light source bouncing right here 123 00:07:19,600 --> 00:07:21,435 than coming straight out towards our eye 124 00:07:21,435 --> 00:07:25,067 coming down, and than reflecting, coming straight out towards our eye 125 00:07:25,067 --> 00:07:28,800 it's also coming down on these other points, but those other points are going straight out 126 00:07:28,800 --> 00:07:33,439 to some place where our eye isn't, instead we're just seeing, we're just seeing the diffuse part 127 00:07:33,439 --> 00:07:35,533 that is actually coming to our eye 128 00:07:35,533 --> 00:00:00,000 anyway, hopefully you found that a little bit more, um, filled in a couple of the gaps of the last video