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CameraModels - Why Camera Modeling Image Processing 1...

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1 Image Processing : 1. Camera Models 1. Camera Models Aleix M. Martinez [email protected] Why Camera Modeling? Think it this way: You look at the world trough the lens of a camera and take a picture. WORLD CAMERA PICTURE Now you show the photo to a friend. S/he needs to interpret the image; i.e., WORLD CAMERA PICTURE MODEL Definition : A camera is an imaging device that captures light and imprints it into a translucent plate (which is usually located at the back of the device). Another applications of camera modeling: Rendering Imagine you want to superimpose a graphic animation on top of a football field. To be able to draw the projection of a 3D object on a 2D image of a 3D surface, you first need to recover the 3D parameters of the “world.” This is known as rendering.
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2 What do we need to do, then? In this part of the course, we will formulate the most useful model: the pinhole camera . Pinhole cameras can be modeled using two main types of projections: Prespective projection. Affine projections. These do not consider lenses. These are more difficult to model and not as useful. Pinhole Cameras This is the actual picture This is the same image , rectified and normalized. They are formed by the projection of 3D objects. Perspective Projection We now know what a pinhole camera is. •Let’s see how we can model the projection of a 3D world point to a 2D image point. We will start defining the most realistic projection. Later, we will define simplifications of this. Simplifications are useful for computational reasons only. Pinhole Perspective Equation NOTE: z is always negative. z y f y z x f x ' ' ' ' You can normalize the image plane (in front of the pinhole) to solve this problem. Focal length
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