Auto-stereoscopic display apparatus and non-transitory computer readable storage device

A non-transitory computer readable storage device for storing an application software adapted to be used for designing an auto-stereoscopic display apparatus, the auto-stereoscopic display apparatus comprising a display area, the display area comprising a display panel and a lens layer, the display panel being configured to receive an image sequence and accordingly display a corresponding image, the display panel comprising a plurality of pixel rows sequentially arranged in a first direction, each one of the pixel rows comprising a plurality of pixels sequentially arranged in a second direction substantially perpendicular to the first direction, and each one of the pixels comprising a plurality of sub-pixels sequentially arranged in the second direction, the lens layer being disposed on the display panel and comprising a plurality of lenticular lenses substantially arranged in the second direction, N successive sub-pixels in each pixel row being corporately covered by one of the lenticular lenses, a ratio of a component of a width in the second direction of each lenticular lens to a width of each sub-pixel in the second direction being configured to a non-integer, an execution of the application software comprising steps of:

• obtaining a nearest viewing distance of the auto-stereoscopic display apparatus and defining the aforementioned nearest viewing distance as NVD;
• obtaining a panel width of the display panel in the second direction and defining the aforementioned panel width as L;
• obtaining an observable angular range of the auto-stereoscopic display apparatus and defining the aforementioned observable angular range as φ;
• obtaining a width of each one of the sub-pixels in the second direction and defining the aforementioned width as wp;
• obtaining a minimum outgoing angle difference of each adjacent two lenticular lenses and defining the aforementioned minimum outgoing angle difference as;
• obtaining an angular spread of each one of the sub-pixels and defining the aforementioned angular spread as γ;
• obtaining a maximum acceptable angular spread corresponding to the width of the lenticular lens in a space and defining the aforementioned maximum acceptable angular spread as MAlense;
• and
• calculating a value Nmin and a value Nmax according to the γ, φ, wp, Δθ, MAlense, NVD and L, wherein Nmin≦N≦Nmax;
• wherein the software application calculates the value Nmin based on an equation
• N
• min
• =
• 1
• tan
• ⁢
• ⁢
• γ
• ⁢
• (
• 2
• ⁢
• ⁢
• tan
• ⁢
• ⁢
• φ
• +
• L
• NVD
• )
• -
• 0.5
• .