Computer Vision: A Modern Approach (2nd Edition) by David A. Forsyth, Jean Ponce

By David A. Forsyth, Jean Ponce

Computing device imaginative and prescient: a contemporary technique, 2e, is acceptable for upper-division undergraduate- and graduate-level classes in machine imaginative and prescient present in departments of laptop technological know-how, laptop Engineering and electric Engineering.

This textbook presents the main entire therapy of contemporary desktop imaginative and prescient tools by means of of the top experts within the box. This obtainable presentation supplies either a normal view of the complete computing device imaginative and prescient company and likewise bargains adequate aspect for college students so as to construct worthwhile purposes. scholars will study thoughts that experience confirmed to be priceless via first-hand adventure and a variety of mathematical tools

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Computer Vision: A Modern Approach (2nd Edition)

Machine imaginative and prescient: a latest procedure, 2e, is suitable for upper-division undergraduate- and graduate-level classes in computing device imaginative and prescient present in departments of laptop technological know-how, laptop Engineering and electric Engineering.

This textbook presents the main whole therapy of recent desktop imaginative and prescient tools via of the top specialists within the box. This available presentation offers either a basic view of the full machine imaginative and prescient company and in addition bargains enough aspect for college students so that it will construct invaluable purposes. scholars will research concepts that experience confirmed to be valuable by means of first-hand adventure and quite a lot of mathematical equipment

Extra resources for Computer Vision: A Modern Approach (2nd Edition)

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Taking P = W P and substituting in Eq. 15) finally yields p= 1 MP , Z where M = K R t . 16) This is the most general form of the perspective projection equation, and indeed an instance of Eq. 9). Knowing M determines the position of the camera’s optical center in the coordinate frame (W )—that is, its homogeneous coordinate vector O = W O. Indeed, as shown in the problems at the end of this chapter, MO = 0. As mentioned earlier, a rotation matrix such as R is defined by three independent parameters (for example, Euler angles).

1 Image Formation 5 another well-known effect: the projections of two parallel lines lying in some plane Φ appear to converge on a horizon line h formed by the intersection of the image plane Π with the plane parallel to Φ and passing through the pinhole. Note that the line L parallel to Π in Φ has no image at all. 3: Perspective effects: (a) far objects appear smaller than close ones: The distance d from the pinhole O to the plane containing C is half the distance from O to the plane containing A and B; (b) the images of parallel lines intersect at the horizon (after Hilbert and Cohn-Vossen, 1952, Figure 127).

26) must lie on the curve where the two quadric surfaces defined by the corresponding equations intersect. A closer look at Eq. 26) reveals that the straight line where the planes defined by m3 · P = 0 and ν · P = 0 intersect lies on both quadrics. It can be shown that the intersection curve of these two surfaces consists of this line and of a twisted cubic curve Γ passing through the origin. A twisted cubic is determined entirely by six points lying on it, and it follows that seven points chosen at random will not fall on Γ.

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