TAILIEUCHUNG - Lecture Digital image processing - Lecture 7: Camera Model and Imaging Geometry

After studying this chapter you will be able to understand: Inverse perspective transformation, imaging geometry where the world coordinate system and the camera coordinate system, what are the transformations steps involved in a generalized imaging setup, illustrate the concept with the help of an example. | Digital Image Processing CCS331 Camera Model and Imaging Geometry 1 Summery of previous lecture some basic mathematical transformations translation, rotation and scaling in 2D and 3D The inverse transformations of these different mathematical transformations. We learn the relationship between Cartesian coordinate system and homogeneous coordinate system and the importance of homogeneous coordinate system in formations of camera. 2 Todays lecture Inverse perspective transformation imaging geometry where the world coordinate system and the camera coordinate system what are the transformations steps involved in a generalized imaging setup illustrate the concept with the help of an example 3 Image formation Assumed that the camera coordinate system and the 3D world coordinate system are perfectly aligned. Assume point XYZ in 3 dimension, the center of the lens is at location 0 0 lambda; so obviously, the lambda which is the Z coordinate of the lens center, this also the focal length of the camera X, Y, Z 3D point, is mapped to the camera coordinate given by lowercase x and lowercase y. 4 The image coordinates of the 3D world coordinate capital X capital Y, capital Z is given by x coordinate x inverse coordinate x is given by lambda x by lambda minus capital Z. Similarly, the inverse coordinate y is given by lambda capital Y divided by lambda minus capital Z. Now, these expressions also can be represented in the form of the matrix and so for homogeneous coordinate system, then this matrix expression is even simpler. 5 homogeens coordinated system The Cartesian coordinate capital X, capital Y capital Z; then in unified coordinate system, we just append a value 1 as an additional component. In Homogeneous coordinate system, instead of simply adding 1, we add an arbitrary non 0 constant k and multiply all the coordinated X, Y and Z by the same value k. 6 perspective transformation the perspective transformation takes an image of a point or a set of points in the 3 .

• Đồ họa - Thiết kế - Flash
• Digital image processing
• Lecture Digital image processing
• Digital images
• Digital computers
• Image processing
• Camera model
• Imaging geometry
• Image segmentation
• Local processing
• Global processing
• Morphological image processing
• Autonomous machine applications
• Region growing
• Image digitization
• Theory of sampling
• Image transformation
• Image enhancement
• Image restoration
• Image transform
• Image compression
• Dark image