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Ci-dessous, les différences entre deux révisions de la page.

--- travaux:surfaces_mathematiques [2010/05/31 02:09]
nico Links to articles:mel-python:annexes:operateurs changed to articles:mel-python:operateurs
+++ travaux:surfaces_mathematiques [2010/10/05 00:21]
nico
@@ Ligne 1: / Ligne 1: @@
+~~META:date created=2010-04-18~~
+{{tag>3d programmation python maya 3dsmax vray maths}}
+====== Surfaces mathématiques ======
+Génération des surfaces : Maya, Mel-Python. \\
+Images : 3ds max, VRay.
+{{gallery>..:galerie?500x500&surface*&reverse&showtitle}}
+===Scripts===
+Un tutoriel traitant de la génération de surfaces en python sous Maya est disponible ici : [[:articles:mel-python:surface_mathematique]].
+<file python kleinBottle.py>
+##
+# Klein bottle
+# p01 2010
+# Maya python script
+##
+from math import sin, cos, pi
+from maya.cmds import curve, ls, loft, delete
+rad = 1
+uRes = .1
+vRes = .1
+cvs = []
+u = -pi
+while u <= pi :
+    pts = []
+    v = -pi
+    while v <= pi :
+        x = cos(u) * (rad + sin(v) * cos(u/2) - sin(2*v) * sin(u/2)/2)
+        y = sin(u) * (rad + sin(v) * cos(u/2) - sin(2*v) * sin(u/2)/2)
+        z = sin(u/2) * sin(v) + cos(u/2) * sin(2*v)/2
+        pts.append((x, y, z))
+        v += vRes
+    u += uRes
+    curve(p=pts)
+    cv = ls(sl=1)
+    cvs.append(cv[0])
+loft(cvs)
+delete(cvs)
+</file>
+<file python heartSurface.py>
+##
+# Heart surface
+# p01 2010
+# Maya python script
+##
+from math import sin, cos, pi, pow, sqrt, fabs
+from maya.cmds import curve, ls, loft, delete
+zRes = .1
+tRes = .1
+cut = 0.9
+cvs = []
+z = -cut
+while z <= cut :
+    pts = []
+    t = -pi
+    while t <= pi :
+        r = 4 * sqrt(1 - z*z) * pow(sin(fabs(t)), fabs(t))
+        x = r * sin(t)
+        y = r * cos(t)
+        t += tRes
+        pts.append((x, y, z))
+    z += zRes
+    curve(p=pts)
+    cv = ls(sl=1)
+    cvs.append(cv[0])
+loft(cvs)
+delete(cvs)
+</file>
+<file python dinisSurface.py>
+##
+# Dinis surface
+# p01 2010
+# Maya python script
+##
+from math import cos, sin, log, tan, pi
+from maya.cmds import curve, ls, loft, delete
+rad = 5
+len = 1
+laps = 3
+inRad = 0.1
+uRes = 0.3
+vRes = 0.1
+cvs = []
+u = 0
+while u <= laps*2*pi :
+    pts = []
+    v = 1.6
+    while v <= pi-inRad :
+        x = rad * cos(u) * sin(v)
+        y = rad * sin(u) * sin(v)
+        z = rad * (cos(v) + log(tan(v/2))) + len * u
+        pts.append((x, y, z))
+        v += vRes
+    u += uRes
+    curve(p=pts)
+    cv = ls(sl=1)
+    cvs.append(cv[0])
+loft(cvs)
+delete(cvs)
+</file>
+<file python limpetTorus.py>
+##
+# Limpet torus
+# p01 2010
+# Maya python script
+##
+from math import sin, cos, pi, sqrt
+from maya.cmds import curve, ls, loft, delete
+width  = 1
+height = 1
+length = 1
+uRes = .3
+vRes = .2
+cvs = []
+u = -pi
+while u <= pi :
+    pts = []
+    v = -pi
+    while v <= pi :
+        x = cos(u) / (sqrt(width+1) + sin(v))
+        y = sin(u) / (sqrt(height+1) + sin(v))
+        z = (length+1) / (sqrt(length+1) + cos(v))
+        pts.append((x, y, z))
+        v += vRes
+    u += uRes
+    curve(p=pts)
+    cv = ls(sl=1)
+    cvs.append(cv[0])
+loft(cvs, c=1)
+delete(cvs)
+</file>
+<file python pseudocatenoid.py>
+##
+# Pseudocatenoid
+# p01 2010
+# Maya python script
+##
+from math import sin, cos, tan, pi
+from maya.cmds import curve, ls, loft, delete
+uRes = .2
+vRes = .2
+cvs = []
+u = 0
+while u <= 2 * pi :
+    pts = []
+    v = -pi
+    while v <= pi :
+        x = cos(u) * (2 + cos(v))
+        y = sin(u) * (2 + cos(v))
+        z = x*x - y*y + 2 * x * y * tan(v)*tan(v)
+        pts.append((x, y, z))
+        v += vRes
+    u += uRes
+    curve(p=pts)
+    cv = ls(sl=1)
+    cvs.append(cv[0])
+loft(cvs, c=1)
+delete(cvs)
+</file>
+<file python tractrixBasedSurface.py>
+##
+# Tractrix based surface
+# p01 2010
+# Maya python script
+##
+from math import cos, cosh, tanh, pi
+from maya.cmds import curve, ls, loft, delete
+uRes = .2
+vRes = .2
+cvs = []
+u = 0
+while u <= 2 * pi :
+    pts = []
+    v = -pi
+    while v <= pi :
+        x = cos(u) * (v - tanh(v))
+        y = cos(u) / cosh(v)
+        z = x*x - y*y + 2 * x * y * tanh(u)*tanh(u)
+        pts.append((x, y, z))
+        v += vRes
+    u += uRes
+    curve(p=pts)
+    cv = ls(sl=1)
+    cvs.append(cv[0])
+loft(cvs, c=1)
+delete(cvs)
+</file>
+<file python triaxialHexatorus.py>
+##
+# Triaxial hexatorus
+# p01 2010
+# Maya python script
+##
+from math import sin, cos, sqrt, pi
+from maya.cmds import curve, ls, loft, delete
+uRes = .2
+vRes = .2
+cvs = []
+u = 0
+while u <= 2 * pi :
+    pts = []
+    v = -pi
+    while v <= pi :
+        x = sin(u) / (sqrt(2) + cos(v))
+        y = sin(u+2*pi/3) / (sqrt(2) + cos(v+2*pi/3))
+        z = cos(u-2*pi/3) / (sqrt(2) + cos(v-2*pi/3))
+        pts.append((x, y, z))
+        v += vRes
+    u += uRes
+    curve(p=pts)
+    cv = ls(sl=1)
+    cvs.append(cv[0])
+loft(cvs, c=1)
+delete(cvs)
+</file>