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similarity index 100% rename from 12/2d-voronoise.frag rename to 11/voronoi/2d-voronoise.frag diff --git a/12/3d-cnoise.frag b/11/voronoi/3d-cnoise.frag similarity index 100% rename from 12/3d-cnoise.frag rename to 11/voronoi/3d-cnoise.frag diff --git a/11/voronoi/README.md b/11/voronoi/README.md new file mode 100644 index 0000000..634f109 --- /dev/null +++ b/11/voronoi/README.md @@ -0,0 +1,10 @@ + +http://github.prideout.net/coordinate-fields/ + +https://briansharpe.wordpress.com/2011/12/01/optimized-artifact-free-gpu-cellular-noise/ +http://www.rhythmiccanvas.com/research/papers/worley.pdf +http://webstaff.itn.liu.se/~stegu/GLSL-cellular/GLSL-cellular-notes.pdf + +http://www.iquilezles.org/www/articles/voronoise/voronoise.htm +http://www.iquilezles.org/www/articles/smoothvoronoi/smoothvoronoi.htm +http://www.iquilezles.org/www/articles/voronoilines/voronoilines.htm diff --git a/18/index.php b/11/voronoi/index.php similarity index 96% rename from 18/index.php rename to 11/voronoi/index.php index 5a557ab..f57e3ae 100644 --- a/18/index.php +++ b/11/voronoi/index.php @@ -1,6 +1,7 @@ + +Think on it as the surface of the ocean. Massive amount of water propagating waves across it surface. Waves of different heights (amplitud) and rhythms (frequencies) bouncing and interfering each other. + +Musicians learn long time ago that there are sounds that play well with each other. Those sound, carried by waves of air, vibrate in such a particular way that the resultan sound seams to be bust and enhance. Those sounds are call [harmonics](http://en.wikipedia.org/wiki/Harmonic). + +Back to code, we can add harmonics together and see how the resultant looks like. Try the following code on the previous graph. + +```glsl +y = 0.; +for( int i = 0; i < 5; ++i) { + y += sin(PI*x*float(i))/float(i); +} +y *= 0.6; +``` + +As you can see in the above code, on every iteration the frequency increase by the double. By augmenting the number of iterations (chaining the 5 for a 10, a 20 or 50) the wave tends to break into smaller fractions, with more details and sharper fluctuations. + +## Fractal Brownian Motion + +So we try adding different waves together, and the result was chaotic, we add up harmonic waves and the result was a consistent fractal pattern. We can use the best of both worlds and add up harmonic noise waves to exacerbate a noise pattern. + +By adding different octaves of increasing frequencies and decreasing amplitudes of noise we can obtain a bigger level of detail or granularity. This technique is call Fractal Brownian Motion and usually consist on a fractal sum of noise functions. + +Take a look to the following example and progressively change the for loop to do 2,3,4,5,6,7 and 8 iterations. See want happens + +
+ +If we apply this one dimensional example to a bidimentional space it will look like the following example: + +
+ +## Using Fractal Brownian Motion + +In this [article](http://www.iquilezles.org/www/articles/warp/warp.htm) Iñigo Quilez describe an interesting use of fractal brownian motion constructing patterns by adding successive results of fractal brownian motions. + +Take a look to the code and how it looks + +
-https://briansharpe.wordpress.com/2011/12/01/optimized-artifact-free-gpu-cellular-noise/ -http://www.rhythmiccanvas.com/research/papers/worley.pdf -http://webstaff.itn.liu.se/~stegu/GLSL-cellular/GLSL-cellular-notes.pdf -http://www.iquilezles.org/www/articles/voronoise/voronoise.htm -http://www.iquilezles.org/www/articles/smoothvoronoi/smoothvoronoi.htm -http://www.iquilezles.org/www/articles/voronoilines/voronoilines.htm diff --git a/13/clouds.frag b/12/clouds.frag similarity index 100% rename from 13/clouds.frag rename to 12/clouds.frag diff --git a/12/index.php b/12/index.php index f57e3ae..e4b0424 100644 --- a/12/index.php +++ b/12/index.php @@ -1,7 +1,7 @@ +https://www.shadertoy.com/view/4dfGRn -Think on it as the surface of the ocean. Massive amount of water propagating waves across it surface. Waves of different heights (amplitud) and rhythms (frequencies) bouncing and interfering each other. +https://www.shadertoy.com/view/lss3zs -Musicians learn long time ago that there are sounds that play well with each other. Those sound, carried by waves of air, vibrate in such a particular way that the resultan sound seams to be bust and enhance. Those sounds are call [harmonics](http://en.wikipedia.org/wiki/Harmonic). +https://www.shadertoy.com/view/4dXGDX -Back to code, we can add harmonics together and see how the resultant looks like. Try the following code on the previous graph. +https://www.shadertoy.com/view/XsXGz2 -```glsl -y = 0.; -for( int i = 0; i < 5; ++i) { - y += sin(PI*x*float(i))/float(i); -} -y *= 0.6; -``` +https://www.shadertoy.com/view/lls3D7 -As you can see in the above code, on every iteration the frequency increase by the double. By augmenting the number of iterations (chaining the 5 for a 10, a 20 or 50) the wave tends to break into smaller fractions, with more details and sharper fluctuations. +https://www.shadertoy.com/view/XdB3DD -## Fractal Brownian Motion - -So we try adding different waves together, and the result was chaotic, we add up harmonic waves and the result was a consistent fractal pattern. We can use the best of both worlds and add up harmonic noise waves to exacerbate a noise pattern. - -By adding different octaves of increasing frequencies and decreasing amplitudes of noise we can obtain a bigger level of detail or granularity. This technique is call Fractal Brownian Motion and usually consist on a fractal sum of noise functions. - -Take a look to the following example and progressively change the for loop to do 2,3,4,5,6,7 and 8 iterations. See want happens - -
- -If we apply this one dimensional example to a bidimentional space it will look like the following example: - -
- -## Using Fractal Brownian Motion - -In this [article](http://www.iquilezles.org/www/articles/warp/warp.htm) Iñigo Quilez describe an interesting use of fractal brownian motion constructing patterns by adding successive results of fractal brownian motions. - -Take a look to the code and how it looks - -
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Usually on CPUs images are stores as arrays of bites but on GPUs store images as ```sampler2D``` which is more like a table (or matrix) of floating point vectors. More interestingly is that the values of this *table* of vectors are continously. That means that value between pixels are interpolated in a low level. -https://www.shadertoy.com/view/Mss3R8 +In order to use this feature we first need to *upload* the image from the CPU to the GPU, to then pass the ```id``` of the texture to the right [```uniform```](../05). All that happens outside the shader. -https://www.shadertoy.com/view/4dfGRn +Once the texture is loaded and linked to a valid ```uniform sampler2D``` you can ask for specific color value at specific coordinates (formated on a [```vec2```](index.html#vec2.md) variable) usin the [```texture2D()```](index.html#texture2D.md) function which will return a color formated on a [```vec4```](index.html#vec4.md) variable. -https://www.shadertoy.com/view/lss3zs +```glsl +vec4 texture2D(sampler2D texture, vec2 coordinates) +``` -https://www.shadertoy.com/view/4dXGDX +Check the following code where we load Hokusai's Wave (1830) as ```uniform sampler2D u_tex0``` and we call every pixel of it inside the billboard: -https://www.shadertoy.com/view/XsXGz2 +

-https://www.shadertoy.com/view/lls3D7 +If you pay attention you will note that the coordinates for the texture are normalized! What a surprise right? Textures coordenates are consisten with the rest of the things we had saw and their coordenates are between 0.0 and 1.0 whitch match perfectly with the normalized space coordinates we have been using. -https://www.shadertoy.com/view/XdB3DD +Now that you have seen how we load correctly a texture is time to experiment to discover what we can do with it, by trying: -https://www.shadertoy.com/view/XdBSWw +* Scaling the previus texture by half. +* Rotating the previus texture 90 degrees. +* Hooking the mouse position to the coordenates to move it. -https://www.shadertoy.com/view/llfGD2 +Why you should be excited about textures? Well first of all forget about the sad 255 values for channel, once your image is trasformed into a ```uniform sampler2D``` you have all the values between 0.0 and 1.0 (depending on what you set the ```precision``` to ). That's why shaders can make really beatiful post-processing effects. -https://www.shadertoy.com/view/Mlf3RX \ No newline at end of file +Second, the [```vec2()```](index.html#vec2.md) means you can get values even between pixels. As we said before the textures are a continum. This means that if you set up your texture correctly you can ask for values all arround the surface of your image and the values will smoothly vary from pixel to pixel with no jumps! + +Finnally, you can setup your image to repeat in the edges, so if you give values over or lower of the normalized 0.0 and 1.0, the values will wrap around starting over. + +All this features makes your images more like an infinit spandex fabric. You can streach and shrinks your texture without noticing the grid of bites they originally where compose of or the ends of it. To experience this take a look to the following code where we distort a texture using [the noise function we already made](../11/). + +
+ +## Texture resolution + +Aboves examples play well with squared images, where both sides are equal and match our squared billboard. But for non-squared images things can be a little more tricky, and unfortunatly centuries of picturical art and photography found more pleasent to the eye non-squared proportions for images. + +![Joseph Nicéphore Niépce (1826)](nicephore.jpg) + +How we can solve this problem? Well we need to know the original proportions of the image to know how to streatch the texture correctly in order to have the original [*aspect ratio*](http://en.wikipedia.org/wiki/Aspect_ratio). For that the texture width and height is pass to the shader as an ```uniform```. Which in our example framework are pass as an ```uniform vec2``` with the same name of the texture followed with proposition ```Resolution```. Once we have this information on the shader he can get the aspect ration by dividing the ```width``` for the ```height``` of the texture resolution. Finally by multiplying this ratio to the coordinates on ```y``` we will shrink these axis to match the original proportions. + +Uncomment line 21 of the following code to see this in action. + +
+ +* What we need to do to center this image? + +## Digital upholstery + +![](03.jpg) + +You may be thinking that this is unnesesary complicated... and you are probably right. Also this way of working with images leave a enought room to different hacks and creative tricks. Try to imagine that you are an upholster and by streaching and folding a fabric over a structure you can create better and new patterns and techniques. + +![Eadweard's Muybridge study of motion](muybridge.jpg) + +This level of craftsmanship links back to some of the first optical experiments ever made. For example on games *sprite animations* are very common, and is inevitably to see on it reminicence to phenakistoscope, zoetrope and praxinoscope. + +This could seam simple but the posibilities of modifing textures coordinates is enormus. For example: . + +
+ +Now is your turn: + +* Can you make a kaleidoscope using what we have learn? +* What other optical toys can you re-create using textures? + +In the next chapters we will learn how to do some image processing using shaders. You will note that finnaly the complexity of shader makes sense, because was in a big sense designed to do this type of process. 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    - -### PS Blending modes - -![](03.jpg) - -
    \ No newline at end of file +## Kernel convolutions diff --git a/17/README.md b/17/README.md index 6ea7993..b2db33f 100644 --- a/17/README.md +++ b/17/README.md @@ -1 +1 @@ -## Kernel convolutions +## Filters diff --git a/18/grain.frag b/17/grain.frag similarity index 100% rename from 18/grain.frag rename to 17/grain.frag diff --git a/18/hatch.frag b/17/hatch.frag similarity index 100% rename from 18/hatch.frag rename to 17/hatch.frag diff --git a/18/hatch.png b/17/hatch.png similarity index 100% rename from 18/hatch.png rename to 17/hatch.png diff --git a/18/hokusai.jpg b/17/hokusai.jpg similarity index 100% rename from 18/hokusai.jpg rename to 17/hokusai.jpg diff --git a/18/lut-0000.png b/17/lut-0000.png similarity index 100% rename from 18/lut-0000.png rename to 17/lut-0000.png diff --git a/18/lut-0001.png b/17/lut-0001.png similarity index 100% rename from 18/lut-0001.png rename to 17/lut-0001.png diff --git a/18/lut-0002.png b/17/lut-0002.png similarity index 100% rename from 18/lut-0002.png rename to 17/lut-0002.png diff --git a/18/lut-0003.png b/17/lut-0003.png similarity index 100% rename from 18/lut-0003.png rename to 17/lut-0003.png diff --git a/18/lut-0004.png b/17/lut-0004.png similarity index 100% rename from 18/lut-0004.png rename to 17/lut-0004.png diff --git a/18/lut-0005.png b/17/lut-0005.png similarity index 100% rename from 18/lut-0005.png rename to 17/lut-0005.png diff --git a/18/lut-0006.png b/17/lut-0006.png similarity index 100% rename from 18/lut-0006.png rename to 17/lut-0006.png diff --git a/18/lut-0007.png b/17/lut-0007.png similarity index 100% rename from 18/lut-0007.png rename to 17/lut-0007.png diff --git a/18/lut-0008.png b/17/lut-0008.png similarity index 100% rename from 18/lut-0008.png rename to 17/lut-0008.png diff --git a/18/lut-0009.png b/17/lut-0009.png similarity index 100% rename from 18/lut-0009.png rename to 17/lut-0009.png diff --git a/18/lut-0010.png b/17/lut-0010.png similarity index 100% rename from 18/lut-0010.png rename to 17/lut-0010.png diff --git a/18/lut-0011.png b/17/lut-0011.png similarity index 100% rename from 18/lut-0011.png rename to 17/lut-0011.png diff --git a/18/lut-0012.png b/17/lut-0012.png similarity index 100% rename from 18/lut-0012.png rename to 17/lut-0012.png diff --git a/18/lut-0013.png b/17/lut-0013.png similarity index 100% rename from 18/lut-0013.png rename to 17/lut-0013.png diff --git a/18/lut-plain.frag b/17/lut-plain.frag similarity index 100% rename from 18/lut-plain.frag rename to 17/lut-plain.frag diff --git a/18/lut.frag b/17/lut.frag similarity index 100% rename from 18/lut.frag rename to 17/lut.frag diff --git a/18/README.md b/18/README.md deleted file mode 100644 index b2db33f..0000000 --- a/18/README.md +++ /dev/null @@ -1 +0,0 @@ -## Filters diff --git a/README.md b/README.md index 59b22ef..06880dc 100644 --- a/README.md +++ b/README.md @@ -29,7 +29,6 @@ This is a gentle step-by-step guide through the abstract and complex universe of * Generative designs * [Random](10/) * [Noise](11/) - * Cellular Noise & voronoi * Fractional brownian motion * Fractals
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    -In order to use this feature we first need to *upload* the image from the CPU to the GPU, to then pass the ```id``` of the texture to the right [```uniform```](../05). All that happens outside the shader. +### Add, Substract, Multiply and others -Once the texture is loaded and linked to a valid ```uniform sampler2D``` you can ask for specific color value at specific coordinates (formated on a [```vec2```](index.html#vec2.md) variable) usin the [```texture2D()```](index.html#texture2D.md) function which will return a color formated on a [```vec4```](index.html#vec4.md) variable. +![](02.jpg) -```glsl -vec4 texture2D(sampler2D texture, vec2 coordinates) -``` +
    -Check the following code where we load Hokusai's Wave (1830) as ```uniform sampler2D u_tex0``` and we call every pixel of it inside the billboard: - -
    - -If you pay attention you will note that the coordinates for the texture are normalized! What a surprise right? Textures coordenates are consisten with the rest of the things we had saw and their coordenates are between 0.0 and 1.0 whitch match perfectly with the normalized space coordinates we have been using. - -Now that you have seen how we load correctly a texture is time to experiment to discover what we can do with it, by trying: - -* Scaling the previus texture by half. -* Rotating the previus texture 90 degrees. -* Hooking the mouse position to the coordenates to move it. - -Why you should be excited about textures? Well first of all forget about the sad 255 values for channel, once your image is trasformed into a ```uniform sampler2D``` you have all the values between 0.0 and 1.0 (depending on what you set the ```precision``` to ). That's why shaders can make really beatiful post-processing effects. - -Second, the [```vec2()```](index.html#vec2.md) means you can get values even between pixels. As we said before the textures are a continum. This means that if you set up your texture correctly you can ask for values all arround the surface of your image and the values will smoothly vary from pixel to pixel with no jumps! - -Finnally, you can setup your image to repeat in the edges, so if you give values over or lower of the normalized 0.0 and 1.0, the values will wrap around starting over. - -All this features makes your images more like an infinit spandex fabric. You can streach and shrinks your texture without noticing the grid of bites they originally where compose of or the ends of it. To experience this take a look to the following code where we distort a texture using [the noise function we already made](../11/). - -
    - -## Texture resolution - -Aboves examples play well with squared images, where both sides are equal and match our squared billboard. But for non-squared images things can be a little more tricky, and unfortunatly centuries of picturical art and photography found more pleasent to the eye non-squared proportions for images. - -![Joseph Nicéphore Niépce (1826)](nicephore.jpg) - -How we can solve this problem? Well we need to know the original proportions of the image to know how to streatch the texture correctly in order to have the original [*aspect ratio*](http://en.wikipedia.org/wiki/Aspect_ratio). For that the texture width and height is pass to the shader as an ```uniform```. Which in our example framework are pass as an ```uniform vec2``` with the same name of the texture followed with proposition ```Resolution```. Once we have this information on the shader he can get the aspect ration by dividing the ```width``` for the ```height``` of the texture resolution. Finally by multiplying this ratio to the coordinates on ```y``` we will shrink these axis to match the original proportions. - -Uncomment line 21 of the following code to see this in action. - -
    - -* What we need to do to center this image? - -## Digital upholstery +### PS Blending modes ![](03.jpg) -You may be thinking that this is unnesesary complicated... and you are probably right. Also this way of working with images leave a enought room to different hacks and creative tricks. Try to imagine that you are an upholster and by streaching and folding a fabric over a structure you can create better and new patterns and techniques. - -![Eadweard's Muybridge study of motion](muybridge.jpg) - -This level of craftsmanship links back to some of the first optical experiments ever made. For example on games *sprite animations* are very common, and is inevitably to see on it reminicence to phenakistoscope, zoetrope and praxinoscope. - -This could seam simple but the posibilities of modifing textures coordinates is enormus. For example: . - -
    - -Now is your turn: - -* Can you make a kaleidoscope using what we have learn? -* What other optical toys can you re-create using textures? - -In the next chapters we will learn how to do some image processing using shaders. You will note that finnaly the complexity of shader makes sense, because was in a big sense designed to do this type of process. We will start doing some image operations! \ No newline at end of file +
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Usually on CPUs images are stores as arrays of bites but on GPUs store images as ```sampler2D``` which is more like a table (or matrix) of floating point vectors. More interestingly is that the values of this *table* of vectors are continously. That means that value between pixels are interpolated in a low level. +