Abstract
Stereo vision can be achieved with a single camera aided by a flat-face prism. However, large optical distortions may be caused by irregular refraction. To mitigate this deficiency and minimize distortion, a new freeform prism design is proposed to replace the flat-face prism. All refracting surfaces of the prism are designed for freeform features, which can process object points at a large depth of field. Differential equations are derived to express the freeform surface, and the Runge–Kutta method is used to numerically solve the differential equations.
Highlights
The single-lens prism-based stereovision (PbS) system can reconstruct a 3D scene
Thereafter, in their pioneering work, by placing a prism in front of a camera lens, Lim et al [8] introduced a method, which assumed that a scene captured by a PbS system would give rise to two images captured by two virtual camera systems [8], [9]
We present a modified virtual camera model as a basis to correct the refractive ray of the flat prism, which can be widely used for stereovision applications
Summary
The single-lens prism-based stereovision (PbS) system can reconstruct a 3D scene. Such a system, which uses only one camera, significantly simplifies the integration effort of a stereovision system. This model did not consider the nonlinear distortion caused by the biprism, which limited the shape retrieval accuracy Thereafter, in their pioneering work, by placing a prism in front of a camera lens, Lim et al [8] introduced a method, which assumed that a scene captured by a PbS system would give rise to two images captured by two virtual camera systems [8], [9]. To solve this problem, many image-based [19] or opticalbased [3], [20], [21] methods were proposed by researchers. We believe that our proposed freeform PbS system can acquire undistorted stereo image pairs at a single shot of the camera, and we directly implement the stereo correspondence algorithm without image rectification
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