A00.雙眼同時視區二維擴增模型
雙眼同時視區二維擴增模型
The horopter two-dimensional expansion
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中文字幕影片連結
https://youtu.be/lFbE8YOjRzk
英文字幕影片連結
https://youtu.be/TDW6rrVIgJY
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視覺光學三定律 (Three laws of optometry)
同時的視覺拘限雙眼的辨識
Simultaneousness restricts the extension of binocular discrimination.
聚焦的景物刺激雙眼的耦合
Focalization induced the development of binocular couplings.
深度感知的指向是協和的
The euclidean vectors of depth perceptions are consonant coordination.
https://imgur.com/gX8TANY.jpeg
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雙眼同時視區雛形函數 (Horopter prototype)
令幼時網膜耦合發育時期的瞳孔間距為PDa..目標物的徑向半徑為Ra..
成年時期的瞳孔間距為PDb..目標物的徑向半徑為Rb..
則以掃視角度δ所生成的耦合..來感知斜前方角度ε視像偏差..
其雙眼同時視區雛形函數可以寫成下式..
Horopter prototype # saccadic angleδ for object oblique forward angleε
{(1/r)*cosθ = (1/Rb)*cosε - (PDa/Db)*(1/Ra)*[cosδ-cos(θ-δ+ε)]
|Ra∈distance of distinct vision}
https://imgur.com/g9atfs6.jpeg
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深度感知引理 (Depth perception lemma)
交叉鏈結生而協調深度感知
Couple link is born to achieve coordination between depth perceptions
R*depth acc sti*cosγ= k1*(depth ver + depth disparity)
R is the ratio of pupillary distance between infancy and adulthood
γ is the oblique forward angle of azimuth , k1 = 1 overall statistically
深度感知在統計上是等強的
Each depth perception is relatively equal strength overall statistically
R*(ΔBlur - depth acc res) + k2*(ΔDisparity - depth ver) = 0
(fast depth - adaptive acc res) + (ΔBlur - reflex acc res) = 0
(fast depth - adaptive ver) + (ΔDisparity - fusional ver) = 0
k2 = 1 overall statistically
https://imgur.com/metS1Wk.jpeg
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雙眼同時視區二維擴增模型 (Horopter two-dimensional expansion)
令幼時網膜耦合發育時期的瞳孔間距為PDa..目標物的徑向半徑為Ra..
成年時期的瞳孔間距為PDb..目標物的徑向半徑為Rb..
則以掃視角度δ所生成的耦合..來感知斜前方角度ε視像偏差..
其雙眼同時視區函數可以寫成下式..
Horopter 2d expansion #saccadic angleδ for object oblique forward angleε
{(/r)*cosθ = [1/(Rb+FDb)]*cosε - (PDa/PDb)*[1/(Ra+FDa)*cos(δ-ε)]
*[cosδ-cos(θ-δ+ε)] |Ra∈distance of distinct vision}
FD = s*[tonic ver+depth ver(1/R) - (1/R)]
tonic acc res = (anatomical position/cosγ)*(k1*k2/R)*(1-w)/(2-w)
tonic ver = anatomical position*{k2/[k1*(1-w)+k2] - k1/(k1+k2)}
depth ver = {R*cosγ*[Blur-tonic acc res)+k1*k2*[Disparity-tonic ver]}/(2-w)
s is the scaling parameter
w is the rate of accommodative senescence
γ is the oblique forward angle of azimuth
DoF is the abbreviation for Depth of Field
R is the ratio of pupillary distance between infancy and adulthood
k1,k2 = 1 overall statistically
https://imgur.com/pkye4Nj.jpeg
--
"The science I see delivers to me a feeling of great beauty,
but few others see it. This makes me sad."
—Feyman's Letters: The Beat of a Different Drum, October 1967
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