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Current time:0:00Total duration:3:06

Introduction to geometric transformations

Video transcript

i Pixar we build our movies shot by shot a shot is something we make by staging our characters in a set and then framing them up through a camera every time the cameras point of view changes that's a new shot on average a Pixar movie is made of about 1,800 shots that's a new shot almost every three seconds in animation we don't just dive in and start creating shots first we need to figure out the story and we do this by making a story real it's a fast rough version of the film made of tens of thousands of drawings the story real does more than just tell the story it hints at a lot of things such as composition camera movement performance and location the story really gives us a good place to start thinking about how we're going to make these shots for real real like in the virtual three-dimensional world of computer graphics and math is literally the foundation for all the processes we use to create these films in the computer this lesson will show you how geometric transformations which are basic functions to manipulate the position orientation and size of an object are an essential part of building our shots you ready of course let's go I work in the sex department as a set dresser often the set starts is just an empty room using the story reel and reference from the art department I'll work out what objects we need to include in the set initially at this stage before cameras are in there it's not about making the set pretty it's about supporting the action so I only include things that are essential in staging the shot I select the virtual models I need and they appear in the center of the set I move them into place around the room turning them and resizing them if necessary each of these changes to the model is accomplished using geometric transformations when I'm done with this first pass I send it to staging my department camera and staging is where we figure out how to shoot the movie through the lens of a virtual camera so let's take a look at the shot we're gonna make oh no our dinosaur has escaped in filmmaking camera movement is a powerful tool to convey emotion in your audience in a subconscious way is the camera handheld on a dolly or a crane is a character experiencing some important moment a moment of significance that we're pushing in on for this shot we're gonna follow the action with our camera panning with Bonnie as she moves through the space oh no our dinosaur has escaped when we're done setting up the camera the shot goes back to set dressing now that I know what the set looks like through the camera I can take a more detailed path I'll add objects to make the set feel more believable and support the story sometimes this means adding a lot of stuff and messy piles to feel like a teenager's room or fill the crates in a bookshelf so it looks like a daycare but feels like a prison and all that math well we use geometric transformations at every step of building the shot in this lesson you'll get a chance to use geometric transformations and explore concepts as simple as addition and as spicy as trigonometry to build your own shot you