4b5ee7c7-a3c3-4792-9ea0-7f2777ded8f7 13 9 12 decimal

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

x y M Spline A M 112 M cols submatrix : B M 2 M rows 11 submatrix : C M 2 M rows 2 M cols submatrix : j 1 A length 2 range CC j el B C 1 C rows j j submatrix y linterp : for A transpose CC x ainterp 51 line :

1. Construct the Bi-linear matrix

X 205010015020025061 mat :

Y 152025405051 mat :

M 49172535454101928395051120314254512233547606142638516656 mat :

N x/y Y stack X transpose M stack augment :

2. Interpolate the Bi-linear matrix

object

N x/y 2050100150200250154917253545204101928395025511203142544051223354760506142638516667 mat

interpolate
value(s) in 
descening 'Y'
in any order vx 16243540302061 mat :

in cols direction object 75 :

i 1 vx length range U i el object vx i el N Spline : for

Smath algorithm from unknown spline two dimensions X transpose Y M object vx InterpBilinear 11.5 13.5 16.25 17.5 15 12.5 61 mat

object vx U augment 12 mat 7516 13.336 24 15.235 35 16.727 40 17.427 30 16.028 20 14.578 62 mat 12 mat

sanity Mathcad 11
Bicubic2D(,,,,,)
Equivalent to using
... lspline 
in two dimensions 13.53 15.406 16.484 17.482 15.793 14.996 61 mat

x y M vx object Bicubic2D

u v f u v u v N Spline 31 mat :

M u v f 1550202502020 CreateMesh :

zoom 0.1 :

M zoom *

User/orient. γ 1101 - 101 - 0033 mat :

45°<= 11 - 011000033 mat

45°=> 1101 - 1000033 mat

Vertical 01010000033 mat

Horizontal 10001000033 mat

1101 - 101 - 0033 mat

plot M γ * 1 col M γ * 2 col augment :

plot