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Non-Single Viewpoint Imaging System:
This picture shows a few examples of well-known non-single viewpoint imaging systems. They are catadioptric cameras with complex mirrors, wide-angle cameras with fish-eye lenses, camera clusters that capture wide fields of view and cameras (or eyes) that use compound lenses.
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General Imaging Model:
In general, an imaging system can be be viewed as performing a specific mapping from scene rays to image pixels. For non-single viewpoint systems, this mapping can be complex.
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Raxels:
A general imaging system can be viewed as a collection of raxels, or ray-pixels, where each raxel is a photosensitive element with accompanying optics that allow it to measure essentially a single ray of light in space. In addition to its location and orientation, a raxel may have complex radiometric and optical properties.
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Caustics:
The rays captured by the raxels of a general imaging model can be viewed as tangents to a surface called a caustic. The caustic can be conveniently used to model the geometric properties of an imaging system.
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Ray Based Calibration:
This picture shows the ray-based calibration methods used to compute the raxels of a general imaging system. The imaging system shows structured light patterns on two planes. The correspondence between pixels in the imaging system and points on the two planes determines the ray-to-pixel mapping for the imaging system.
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Calibration of a Perspective Camera:
This video shows the calibration being done for the simplest case of a perspective camera.
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Camera Output:
This video shows the raw video produced by the perspective video camera during the calibration procedure.
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Computed Caustic:
This picture shows the caustic computed for the perspective (single viewpoint) video camera. As expected. it is a compact cluster.
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Calibration of a Catadioptric Camera:
This video shows the calibration being done for a non-single viewpoint catadioptric camera that consists of a perspective lens and a parabolic mirror.
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Camera Output:
This video shows the raw video produced by the catadioptric camera during the calibration procedure.
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Computed Caustic:
This picture shows the caustic computed for the non-single viewpoint catadioptric camera. As expected, the caustic is a large surface in this case.
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