valentin.py

Created by schraf

Created on October 24, 2022

2.76 KB

Comment utiliser ces 2 scripts Python : Vidéo d’explication

Comprendre en 10 minutes les mathématiques cachées derrière : Les courbes de Bézier - Elles sont partout !

Gimp

def conv(s):
 try: return int(float(s))
 except: return s

def nw():
    img = gimp.image_list()[0]
    svg = pdb.gimp_vectors_export_to_string(img, img.vectors[0])
    svg = svg.split(" d=\"")[1].split("\"")[0].replace(" ",",").replace("\n",",").replace("M",",M")
    svg = [conv(v) for v in svg.split(",") if len(v)>0]
    return svg

Ce script permet de récupérer dans une chaine de caractères nommée svg les coordonnées des points et des poignées. Un petit nettoyage est fait sur les espace et les retours à la ligne et on ne prend que des coordonnées entières afin de gagner en espace mémoire.

Quelques visuels

Lunettes en coeur et téléphone

svg = ['M',166,119,'C',166,119,149,71,149,71,148,68,146,65,142,64,138,63,134,62,130,63,130,63,111,68,111,68,108,68,107,70,107,72,108,74,111,75,114,74,114,74,133,70,133,70,134,69,136,70,137,70,138,71,139,71,139,72,139,72,152,109,152,109,150,109,148,109,146,109,140,109,134,111,130,114,126,111,121,109,115,109,109,109,103,110,99,113,97,115,95,117,94,120,94,120,87,120,87,120,86,117,84,115,82,113,78,110,73,109,67,109,60,109,55,111,51,114,47,111,41,109,35,109,33,109,31,109,29,109,29,109,41,72,41,72,42,71,43,70,44,70,45,70,47,69,48,70,48,70,67,74,67,74,70,75,73,74,74,72,74,70,73,68,70,68,70,68,51,63,51,63,47,62,43,63,39,64,35,65,33,68,32,71,32,71,15,120,15,120,15,121,15,123,15,124,15,132,24,137,37,145,40,147,44,149,48,151,49,151,50,152,51,152,52,152,53,151,54,151,58,149,62,147,65,145,76,138,85,134,87,127,87,127,94,127,94,127,96,134,105,138,116,145,120,147,123,149,127,151,128,151,129,152,130,152,131,152,133,151,133,151,137,149,141,147,144,145,157,137,167,132,167,124,167,122,166,121,166,119,'Z','M',59,139,'C',56,141,54,142,51,144,48,142,46,141,43,1


from turtle import *
from random import *

NB = 10

svg = ['M',31,49,'C',31,49,31,23,31,23,31,23,49,49,49,49,54,44,50,24,50,24,'M',64,23,'C',64,23,62,45,65,48,67,50,73,51,73,51,73,51,79,51,81,47,83,43,82,23,82,23,'M',96,49,'C',96,49,96,22,96,22,96,22,108,49,108,49,108,49,121,23,121,23,121,23,122,48,122,48,'M',136,23,'C',136,23,140,49,142,49,144,49,148,23,150,23,152,22,155,49,157,49,158,50,164,25,165,24,'M',184,22,'C',188,22,196,27,196,35,196,43,190,51,185,50,180,50,173,46,173,37,174,27,180,22,184,22,'Z','M',207,50,'C',207,50,207,23,207,23,207,23,220,22,220,22,220,22,224,24,224,29,224,34,222,35,219,35,216,36,209,36,209,36,'M',221,39,'C',221,39,222,46,224,47,225,48,227,50,228,49,'M',239,23,'C',239,23,240,49,240,49,'M',240,38,'C',240,38,257,24,257,24,'M',248,34,'C',248,34,256,47,259,48,'M',287,25,'C',287,25,279,18,272,23,268,28,270,30,271,33,271,36,285,36,286,39,287,42,288,46,285,48,283,51,273,51,270,48,'M',59,101,'C',59,101,76,101,76,101,'M',67,104,'C',67,104,66,131,66,131,66,131,65,138,56,138,48,138,46,138,44,133,42,128,43,124,48,121,'M',94,102,'C',94,102,94,139,94,139,'M',97,102,'C',97,102,110,102,115,101,'M',96,119,'C',96,119,106,119,106,119,'M',97,138,'C',97,138,114,140,116,138,'M',158,100,'C',158,100,158,133,158,133,'M',144,99,'C',145,97,174,97,174,98,'M',193,83,'C',193,83,188,92,187,94,'M',230,147,'C',225,147,210,122,207,115,205,109,205,97,217,97,228,98,231,109,231,111,231,113,235,97,244,97,253,97,255,104,254,113,253,122,234,147,230,147,'Z','M',201,144,'C',201,144,226,127,226,127,'M',258,102,'C',258,102,270,94,270,94,'M',268,87,'C',268,87,277,86,280,87,282,89,275,97,275,97,'M',194,194,'C',201,197,207,184,198,183,189,182,190,191,189,197,189,203,193,205,200,204,'M',209,175,'C',208,177,208,181,209,181,'M',211,166,'C',209,166,207,168,209,169,'M',222,174,'C',222,178,221,182,221,182,'M',230,174,'C',230,174,230,181,230,181,'M',218,173,'C',221,171,221,170,225,171,229,172,232,172,232,171,'M',244,192,'C',244,192,256,192,256,192,'M',244,199,'C',244,199,255,199,255,199,'M',266,195,'C',266,195,273,195,273,195,'M',283,189,'C',283,189,289,183,289,183,289,183,289,205,289,205]

def move(x,y): 
  pensize(randint(3,6))
  goto(x-160,110-y)

def coord(a,b,c,d,t):
  return a*(1-t)**3+3*b*t*(1-t)**2+3*c*t*t*(1-t)+d*t**3

def bezier(l):
  pendown()
  t = 0
  for i in range(NB+1):
    x = coord(l[0],l[2],l[4],l[6],t)
    y = coord(l[1],l[3],l[5],l[7],t)
    move(x,y)
    t += 1/NB

speed(2)
i = 0
while i<len(svg):
  color(randint(0,255),randint(0,255),randint(0,255))
  # version rose :
  # color(255,randint(0,140),255)
  if svg[i] == "M":
    l = [svg[i+1],svg[i+2]]
    penup()
    move(l[0], l[1])
    i += 3
  elif svg[i] == "Z" or svg[i] == "C": i += 1
  else:  
    for j in range(6): l.append(svg[i+j])
    bezier(l)
    l = [svg[i+4],svg[i+5]]
    i += 6
hideturtle()

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