4 An interdisciplinary definition Computer Vision is devoted to the discovery of algorithms, representations, and architectures that embody the principles of visual capabilities. What are visual capabilities? –Recognizing objects and faces –Estimating shapes and distances –Moving, grasping
5 Relation to other fields Computer Vision is inspired from Biological Vision (Phenomenology and Models in Psychophysics and in Neurobiology) but does not try to imitate the nature's architecture or algorithms. Biological Vision and Psychophysics may find computational models discovered in Computer Vision useful for explaining nature.
6 Target problem in computer vision Compute properties of the 3D world from one or more digital images These properties may be –dynamic (observer and object motion) –geometric (distances, object shape) –enabling recognition The result may be an action (grasp an object, avoid an obstacle)
7 What is an image ? A gray-value image is just a set of numbers (usually from 0 to 255)
19 Quiz From which points in space is a rectangle viewed as a square (more difficult: an ellipse viewed as a circle ? Be careful: The center ofBe careful: The center of the ellipse in the image is not the projection of the center of the ellipse on the floor!
20 The power of vanishing points Perspective projection preserves cross-ratio = AC/AD : BC/BD is the same on the street and in the image. If A is a vanishing point AC/AD = 1. A B C D We measure A,B,C,D in pixels in the image and form cross ratio for image and for the street. BC is computed from the equality of the two ratios.
21 Stereopsis Infer depth from the disparity between the positions of the same feature in left and right image
23 Stereo-disparity estimation Search at every pixel for candidates of maximum correlation between left and right Estimate 3D-coordinates of point
24 The power of visual motion Most of the animals have monocular vision (left and right visual fields do not overlap) 8% of the population can not see stereo Stereopsis is limited to a very short depth of field (10m).
32 Temporal aliasing Wagon Wheel Illusion: A wheel with a periodic radial pattern is perceived to move backwards depending on the relation between the speed, the radius of the wheel, and the period of the pattern (www.cstr.ed.ac.uk/~rjc/wagonWheel)
33 Aperture problem Inside a small aperture displaying a small line we can estimate only the motion direction perpendicular to the line.
34 My wife and my mother-in-law The role of the focus of attention