Imaging Beyond the Pinhole Camera by A. Torii, A. Sugimoto, T. Sakai, A. Imiya (auth.), Kostas

By A. Torii, A. Sugimoto, T. Sakai, A. Imiya (auth.), Kostas Daniilidis, Reinhard Klette (eds.)

The digicam obscura, the elemental projection version for pinhole cameras, was once identified in China greater than 2500 years in the past. The world's first photo was once taken in 1826 utilizing a pinhole digicam - a digicam obscura outfitted with a plate of photo-sensitive lined glass. All cameras because this primary picture stick with the elemental pinhole digicam precept.

This ebook lines growth in images, reminiscent of optical lenses and silver-based movie, the latter changed this day by means of electronic applied sciences. The authors evaluate the layout techniques equivalent to photogrammetry, photograph info streams created by way of shooting photos line through line, and omnidirectional imaginative and prescient for robot navigation. The textual content indicates how replacement digital camera architectures create a necessity to appreciate similar projective geometries for the aim of digital camera calibration, binocular stereo, static or dynamic scene figuring out. The textual content additionally explores purposes of different digital camera architectures.

Written by way of top researchers within the box, this e-book elucidates on those themes in addition to a few of the functions of different digital camera architectures.

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Vision systems satisfying the single viewpoint constraint are called central projection systems. The perspective camera is an example of a central projection system. The mapping of points in the scene into points in the image is linear in homogeneous coordinates, and can be described by a 3 × 4 projection matrix P (pin-hole model). Perspective projection can be modeled by intersecting a plane with a pencil of lines going through the scene points and the projection center O. There are central projection systems whose geometry can not be described using the conventional pin-hole model.

Mt is composed of two lines m and l lying on the projective plane ℘2 . In this case the conic is said to be degenerate, the 3 ×3 symmetric matrix Ω is rank 2, and Equation (15) becomes ⎤ ⎡ 1 0 0 0 0 0 ⎢0 2 0 0 0 0⎥ ⎥ ⎢ ⎢0 0 1 0 0 0⎥ t t ⎥. Γ(m, l) ⎢ Ω = ml + lm −→ ω = ⎢ (16) ⎥ ⎢0 0 0 2 0 0⎥ ⎣0 0 0 0 2 0⎦ 0 0 0 0 0 1 e D In a similar way a conic locus can be composed of a single line n = (nx , ny , nz )t . x = 0. Point x is on the line if, and only if, its lifted coordinates n are orthogonal to the homogeneous vector n (nt x = 0).

This can be difficult CATADIOPTRIC NON-CENTRAL SENSORS 43 to handle with, especially when we extend the problem to three dimension curves where r is root of a quadratic equation. Bearing in mind the advantages and weaknesses of the Jacobian method, we present here another technique to compute the caustic curve, where only local mathematical properties of M are taken into account. The caustic of a curve M , is function of the source light S. The basic idea is to consider a conic where S is placed on one of its foci.

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