1. Week 2 - Wednesday

2.  What did we talk about last time?  More on graphics  Introduction to Scratch  Lab 1

4. Some ideas for these slides borrowed from the UC Berkeley course "The Beauty and Joy of Computing" designed by Dan Garcia

5.  We were talking about 2D graphics  Ultimately, almost everything ends up as 2D graphics because our screens display in 2D  3D graphics is another large area of computer science  Making realistic movies and games is tricky  Artists are usually involved, but computer scientists make the tools the artists use  From the CS perspective, you can divide 3D graphics into two important categories:  Offline rendering  Real-time rendering

6.  Offline rendering will be our focus today  In this case, offline means that the rendering has already happened when you see the images  Offline rendering is used for television, movies, and print media  You can create an entire movie from computer graphics (CG), like Pixar does  Or you can add CG elements to a movie, like Gollum in the Lord of the Rings  Each frame produced by offline rendering often takes hours to render

7.  Real-time rendering is rendering done as you watch it, typically in an interactive way  Real-time rendering is almost exclusively the province of video games, like Witcher III shown right  Render rates are often between 20 and 60 frames per second  How much faster is that than offline rendering?

8.  For most offline and real-time rendered graphics, the basic outline of producing images is the same  Modeling is creating the 3D objects  Animation is making them move  Lighting and shading determine the lighting of the scene and other elements of visual appearance  Rendering is the computation that determines the final image ModelingAnimation Lighting and Shading Rendering

9.  Artists usually do the modeling of 3D objects  But computer scientists create the programs that they use:  AutoCAD  Maya  3DS Max  Blender (free!)  And many others…  Modeling by hand is very common, but it is possible to scan 3D objects or generate objects procedurally (like simulating the growth of a tree) Model of an eastern banjo frog provided by Autodesk

10.  A spline is a curve in space that is defined as a piecewise function  Splines are a common tool for defining shapes in 2D and 3D  Artists add control points with handles to change the slope of the curves

11.  Non-uniform rational basis splines (NURBS) are a very general form of splines  Many 3D modeling program represent surfaces as patches between these splines  Rendering NURBS usually means turning these mathematically precise surfaces into triangles

12.  If you can't get an artist to model the object for you, there are a few other ways  Generate the data procedurally  Visualization of scientific (or other) data as spheres, cubes, or other primitives  Sampling or scanning the real world  Reconstruction from photographs  Combinations!

13.  People have worked a fair bit on modeling trees  New research takes an existing tree model and deforms it to its environment  It approximates biological reactions to space and light constraints  It's a combination of procedural and artist modeling  Recent SIGCSE paper: "Plastic Trees: Interactive Self- Adapting Botanical Tree Models" by Pirk et al.  www.youtube.com/watch?v=xlbKL0KoYEU

14.  Once you have the model, you have to make it move around the scene  One part of this process is rigging, which ties parts of the model together  For example, pull the foot and it pulls the leg  The model can be moved to different key frames  Then a program can blend between them  Motion capture is also a popular method for animating models  The results can be more natural

15.  Models created by artists  Movement based on motion capture  Andy Serkis (Gollum, Kong) is perhaps the best known motion capture artist  But there is a dispute over whether or not he can get acting awards for his work  http://science.discovery.com/video-topics/sci-fi-supernatural/james- cameron.htm http://science.discovery.com/video-topics/sci-fi-supernatural/james- cameron.htm

16.  Mostly, we're talking about putting the real world inside of a computer  What if you wanted to turn your 3D (computer) model into a 3D (real) model?  New research turns a skinned mesh into a model that can be created with articulation points and generated with a 3D printer  So you can play with it!  Recent SIGCSE paper: "Fabricating Articulated Characters from Skinned Meshes" by Bächer, Bickel, James, and Pfister  www.youtube.com/watch?v=8jwNWOlU6yw

17.  Once the models are moving around the environment, we still need lighting to see them  Virtual lights are placed in the scene  A camera location is chosen  Materials for the models are chosen  What colors?  Rough, smooth?  Shiny, reflective, matte?

18.  Then, rendering is the process of taking all this data and figuring out what the individual color of each pixel in the final 2D image will be  Many parts of the model might overlap with a single pixel  A lot of math has to be done to figure out what the final color is

19.  Most rendering systems divide the models into triangles  Usually millions of triangles for offline rendering  Each part of a triangle that overlaps with a pixel is called a fragment  Triangles are useful because the math involved is simple, and they are always flat

20.  The amount of math involved is breathtaking  Each triangle exists in 3D space  Matrix multiplication is used to map the location of the object into view space (as seen from the camera) and then screen space (flattening out into 2D)  Shading equations based on physics and the interaction of light with matter determine the final color of the fragment

21.  And that's just the color of the fragment, assuming nothing is blocking the light  Adding shadows and reflections means dealing with interactions between different objects

22.  Older video games didn't have shadows at all  But shadows add important cues about relative depth and size of objects  Unless you're using a global illumination model, shadows are tricky to make  In older Pixar movies, artists had to decide which lights shadowed which objects

26.  Ray tracing is one type of global illumination model  Rays are traced from the camera through the screen to the closest object, called the intersection point  For each intersection point:  Trace a ray to each light source  If the object is shiny, trace a reflection ray  If the object is not opaque, trace a refraction ray  Opaque objects can block the rays, while transparent objects attenuate the light  It's even more complicated, since rays scatter when they bounce

27.  100 million CPU hours to render the film  2 years of actual time on 2,000 computers with more than 24,000 cores  5.5 million hairs on Sully's fur  Five times the original!  It still can take 29 hours to render a single frame  You need 24 frames per second for movie quality  They upgraded to a global illumination model for Monsters University

28. Almost 10 years old but still impressive in many ways

31.  We will talk about video games and real-time rendering  Lab 2

32.  Keep playing with Scratch