4d91db75-5c81-4c45-9ddc-4b4a230e6bb7 12 6 5 auto

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

Understanding SVG

Model from jmG Mathcad 8 Pro. made work in Smath by Dave Carpi

t = interpolation point in [0,1]
p = control points t p DeCasteljau De Casteljau SMath M 1 t - (p 1 row * t p 2 row * + : p rows 2 > i 2 p rows 1 - range M M 1 t - (p i row * t p i 1 + row * + stack : for t M DeCasteljau 21 line M if 31 line :

t = range of interpolation points in [0,1]
p = control points t p DeCasteljauRange M t 1 el p DeCasteljau : i 2 t length range M M t i el p DeCasteljau stack : for M 31 line :

ndp =  number of discretization points (> 1)
p = control points ndp p DeCasteljauNDP t 011 ndp 1 - / range : M t 1 el p DeCasteljau : i 2 t length range M M t i el p DeCasteljau stack : for M 41 line :

svg 0.75 :

NDP 100 :

p svg 600603003032 mat 03003006032 mat 0600602156032 mat 21560350603502032 mat 3502035010 - 28550 - 32 mat 51 mat * :

B svg 600603003006021560350603502035010 - 28550 - 92 mat * :

bezier NDP p 1 el DeCasteljauNDP :

i 2 p length range bezier bezier NDP p i el DeCasteljauNDP stack : for

data spec pts i 1 data rows range p i el a b c spec : for v p 1 el : Unest 'p' j 2 p rows range v v p j el stack : for data v augment 51 line :

a b c spec . 14 black 13 mat :

B => Reduce the plot line canvas. p => data set for construction of De Casteljau/Bézier SVG.

pts B a b c spec pts :

Alternate: plots points/plot line ... "svg scale" as you wish

B bezier pts 3 1 sys

Mathcad crappy Microsoft Pica plot, made image saved PNG, converted SVG Art draw "MethodDraw".