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The geometry of a hypercentric lens can be visualized by imagining a point source of light at the center of the entrance pupil sending rays in all directions. Any point on the object will be imaged to the point on the image plane found by continuing the ray that passes through it, so the shape of the
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being imaged by a hypercentric lens system directly above, whose entrance pupil is below the conveyor belt. The image of the die would contain the top and all four sides at once, because the bottom of the die appears larger than the top.
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is located in front of the lens, in the space where an object could be located. This has the result that, in a certain region, objects that are farther away from the lens produce larger
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cast by the object from the imaginary point of light. So the closer an object gets to that point (the center of the entrance pupil), the larger its image will be.
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Rays are focused so that objects farther from the lens appear larger than objects closer to the lens
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than objects that are closer to the lens, in stark contrast to the behavior of the
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153:), where farther-away objects always appear smaller.
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245:Markus Ulrich, Carsten Steger (2019).
186:image will be the same as that of the
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47:adding citations to reliable sources
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16:Hypercentric Or Pericentric Lens
251:Machine Vision and Applications
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264:10.1007/s00138-019-01032-w
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282:Photographic lenses
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99:August 2023
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