This paper proposes a stereoscopic model for DFD display that explains the continuous depth modulation and protruding
depth perception. The model is composed of four steps: preparation of DFD images, geometrical calculation of viewed
images, human visual function for detecting intensity changes, and stereoscopic depth perception. In this paper, two
types of displayed images for DFD display are prepared: the former pairs are for conventional DFD, where a fused image
is located between the layered images; the latter pairs are for protruding DFD, where a fused image is located closer than
the foreground image or further than the background image. Viewed images at both eye positions are simulated
geometrically in computer vision optics model. In order to detect intensity changes, we have utilized Laplacian operation
on a Gaussian blurred image. Stereoscopic depths are calculated by matching the zero crossing position on the Laplacian
operated images. It is revealed that our stereoscopic model explains both conventional and protruding DFDs.
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