<p> Utilities ... Global plot spec </p>

2a4c26b9-4cb7-4afd-b095-230a29b9dc69 5 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

u b 0 u 2 - ≤ 16 / 2 u + (3^* 2 - u ≤ (u 1 - ≤ (& 16 / 2 u + (3^* 23 / 1 u + (3^* - 1 - u ≤ (u 0 ≤ (& 23 / 1 u - (3^* - 16 / 2 u - (3^* + 0 u ≤ (u 1 ≤ (& 16 / 2 u - (3^* 1 u ≤ (u 2 ≤ (& 0 cases :

The Gaussian b-spline

Gaussian basis 'b-spline'

2 - x ≤ x 2 ≤ & x b Undefined if

0 b 0.6667

u v Bsp v m el u m - b * (m 1 v rows sum :

B-spline interpolation . . . discrete symmetric

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4 appVersion 0.98.6179.21440 ≡

<p> Utilities ... Global plot spec </p>

vx vy a b c plotG a char ≡ b size ≡ c color ≡ 13 mat n vx length : plot vx 1 el vy 1 el a b c augment : i 2 n range plot plot vx i el vy i el a b c augment stack : for plot 51 line :

u b 0 u 2 - ≤ 16 / 2 u + (3^* 2 - u ≤ (u 1 - ≤ (& 16 / 2 u + (3^* 23 / 1 u + (3^* - 1 - u ≤ (u 0 ≤ (& 23 / 1 u - (3^* - 16 / 2 u - (3^* + 0 u ≤ (u 1 ≤ (& 16 / 2 u - (3^* 1 u ≤ (u 2 ≤ (& 0 cases :

z n RepEnd m z rows : i 1 n range w i el z 1 el : for i n 1 + (m n + (range w i el z i n - el : for i m n + 1 + (m 2 n * + (range w i el z m el : for w 51 line :

u v Bsp v m el u m - b * (m 1 v rows sum :

Plot t 2 X length 1 - (2.1 range : i 1 t rows range vx i el t i el ox eval : vy i el t i el oy eval : 21 line for vx vy augment 31 line :

r 2 :

XY 2 - 1.37 - 0.89 - 0.55 - 0.25 - 0 0.22 0.45 0.75 1.3 2 0.519 0.414 - 1.061 - 0.987 - 0.347 - 2.791 1.081 0.765 1.181 0.588 0.466 - 211 mat transpose :

user original polygon Xo 0.5 - 0.4 - 0.3 - 0.2 - 0.1 - 0.04 - 0 0.04 0.1 0.2 0.3 0.4 0.5 113 mat transpose : Yo 0.007937 0.012 0.022 0.048 0.167 0.556 1 0.556 0.167 0.048 0.022 0.012 0.007937 113 mat transpose : 21 sys

X XY 1 col r RepEnd : Y XY 2 col r RepEnd : 21 line

u ox u X Bsp : u oy u Y Bsp : 21 line

OBSERVE ... Each 'Plot' below fetches from the collapsed area upstream. The same range is convenient for both plots.

polygon X Y . 12 black plotG :

XY spline

X Y augment Plot polygon 3 1 sys

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XY spline

X Xo r RepEnd : Y Yo r RepEnd : 21 line

u ox u X Bsp : u oy u Y Bsp : 21 line

polygon Xo Yo . 14 black plotG :

X Y augment Plot polygon 3 1 sys

XoYo spline

x f Xo Yo x cinterp :

cinerp(Xo,Yo,x) better choice for your project

X Y augment x f polygon 3 1 sys

XY 2 - 1.37 - 0.89 - 0.55 - 0.25 - 0 0.22 0.45 0.75 1.3 2 0.519 0.414 - 1.061 - 0.987 - 0.347 - 2.791 1.081 0.765 1.181 0.588 0.466 - 211 mat transpose :

X XY 1 col : Y XY 2 col : 21 line

polygon X Y . 12 black plotG :

x f X Y x ainterp :

polygon x f 2 1 sys