proper interpolation of spherical projective angles
式5: "O" equals left bracket, 0 , 0 , 3 , right bracketO=0,0,3
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式6: "J" left parenthesis, "p" , right parenthesis equals left parenthesis, distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , "p" , right parenthesis , StartFraction, StartNestedFraction, "p" . "x" NestedOver distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , "p" , right parenthesis , EndNestedFraction Over 1 minus StartNestedFraction, "p" . "y" NestedOver distance left parenthesis, left parenthesis, 0 , 0 , right parenthesis , "p" , right parenthesis , EndNestedFraction , EndFraction , right parenthesisJp=distance0,0,p,p.xdistance0,0,p1−p.ydistance0,0,p
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式7: "K" left parenthesis, "p" , right parenthesis equals "p" . "x" times StartFraction, left parenthesis, 2 "p" . "y" , "p" . "y" squared minus 1 , right parenthesis Over "p" . "y" squared plus 1 , EndFractionKp=p.x·2p.y,p.y2−1p.y2+1
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式8: "I" left parenthesis, "a" , "b" , "t" , right parenthesis equals "K" left parenthesis, "J" left parenthesis, "a" , right parenthesis plus "t" left parenthesis, "J" left parenthesis, "b" , right parenthesis minus "J" left parenthesis, "a" , right parenthesis , right parenthesis , right parenthesisIa,b,t=KJa+tJb−Ja
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式9: 10 times left bracket, "P" left parenthesis, "O" plus "S" left parenthesis, "t" times left parenthesis, cos theta , sin theta , right parenthesis , right parenthesis , right parenthesis for theta equals left bracket, 0 , 0.3 , ... pi , right bracket , right bracket10·PO+St·cosθ,sinθforθ=0,0.3,...π
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定義域t最小値:
less than or equal to "t" less than or equal to≤t≤
定義域t最大値: 99
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式10: 10 times "P" left parenthesis, "O" plus "S" left parenthesis, "I" left parenthesis, "u" , "v" , "t" , right parenthesis , right parenthesis , right parenthesis10·PO+SIu,v,t
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定義域t最小値:
less than or equal to "t" less than or equal to≤t≤
