def kntins(self, uknots, vknots=None):
"""Insert new knots into the surface
uknots - knots to be inserted along u direction
vknots - knots to be inserted along v direction
NOTE: No knot multiplicity will be increased beyond the order of the spline"""
if len(vknots):
# Force the v knot sequence to be a vector in ascending order
vknots = numerix.sort(numerix.asarray(vknots, numerix.Float))
if numerix.any(vknots < 0.) or numerix.any(vknots > 1.):
raise NURBSError, 'Illegal vknots sequence'
coefs = numerix.resize(
self.cntrl, (4 * self.cntrl.shape[1], self.cntrl.shape[2]))
coefs, self.vknots = bspkntins(self.degree[1], coefs, self.vknots,
vknots)
self.cntrl = numerix.resize(
coefs, (4, self.cntrl.shape[1], coefs.shape[1]))
if len(uknots):
# Force the u knot sequence to be a vector in ascending order
uknots = numerix.sort(numerix.asarray(uknots, numerix.Float))
if numerix.any(uknots < 0.) or numerix.any(uknots > 1.):
raise NURBSError, 'Illegal uknots sequence'
coefs = numerix.transpose(self.cntrl, (0, 2, 1))
coefs = numerix.resize(
coefs, (4 * self.cntrl.shape[2], self.cntrl.shape[1]))
coefs, self.uknots = bspkntins(self.degree[0], coefs, self.uknots,
uknots)
coefs = numerix.resize(coefs,
(4, self.cntrl.shape[2], coefs.shape[1]))
self.cntrl = numerix.transpose(coefs, (0, 2, 1))
def extractU(self, v):
"Extract curve in u-direction at parameter v."
if numerix.any(v < 0.) or numerix.any(v > 1.):
raise NURBSError, 'Out of parameter range [0,1]'
if v == 0.:
cntrl = self.cntrl[:, :, 0]
knots = self.uknots[:]
elif v == 1.:
cntrl = self.cntrl[:, :, -1]
knots = self.uknots[:]
else:
vknots = numerix.repeat(
numerix.asarray([v], numerix.Float),
[self.degree[0] * (self.cntrl.shape[1] + 1)])
coefs = numerix.resize(
self.cntrl, (4 * self.cntrl.shape[1], self.cntrl.shape[2]))
coefs, knots = bspkntins(self.degree[1], coefs, self.vknots,
vknots)
cntrl = numerix.resize(coefs,
(4, self.cntrl.shape[1], coefs.shape[1]))
i = 0
j = knots[0]
for k in knots[1:]:
if k == v:
break
elif k != j:
i += 1
j = k
return Crv.Crv(cntrl[:, :, i], self.uknots[:])
def extractV(self, u):
"Extract curve in v-direction at parameter u."
if numerix.any(u < 0.) or numerix.any(u > 1.):
raise NURBSError, 'Out of parameter range [0,1]'
if u == 0.:
cntrl = self.cntrl[:, 0, :]
knots = self.vknots[:]
elif u == 1.:
cntrl = self.cntrl[:, -1, :]
knots = self.vknots[:]
else:
uknots = numerix.repeat(
numerix.asarray([u], numerix.Float),
[self.degree[1] * (self.cntrl.shape[2] + 1)])
coefs = numerix.transpose(self.cntrl, (0, 2, 1))
coefs = numerix.resize(
coefs, (4 * self.cntrl.shape[2], self.cntrl.shape[1]))
coefs, knots = bspkntins(self.degree[0], coefs, self.uknots,
uknots)
coefs = numerix.resize(coefs,
(4, self.cntrl.shape[2], coefs.shape[1]))
cntrl = numerix.transpose(coefs, (0, 2, 1))
i = 0
j = knots[0]
for k in knots[1:]:
if k == u:
break
elif k != j:
i += 1
j = k
return Crv.Crv(cntrl[:, i, :], self.vknots[:])
def extractV(self, u):
"Extract curve in v-direction at parameter u."
# if np.less(u, 0.) or np.greater(u, 1.):
# raise NURBSError, 'Out of parameter range [0,1]'
if u == 0.:
cntrl = self.cntrl[:,0,:]
knots = self.vknots[:]
elif u == 1.:
cntrl = self.cntrl[:,-1,:]
knots = self.vknots[:]
else:
uknots = np.repeat(np.asarray([u], np.float),[self.degree[1]*(self.cntrl.shape[2] + 1)])
coefs = np.transpose(self.cntrl,(0, 2, 1))
coefs = np.resize(coefs,(4*self.cntrl.shape[2], self.cntrl.shape[1]))
coefs, knots = bspkntins(self.degree[0], coefs, self.uknots, uknots)
coefs = np.resize(coefs, (4, self.cntrl.shape[2], coefs.shape[1]))
cntrl = np.transpose(coefs,(0,2,1))
i = 0
j = knots[0]
for k in knots[1:]:
if k == u:
break
elif k != j:
i += 1
j = k
return Crv.Crv(cntrl[:,i,:], self.vknots[:])
def kntins(self, uknots):
"""Insert new knots into the curve
NOTE: No knot multiplicity will be increased beyond the order of the spline"""
if len(uknots):
uknots = numerix.sort(numerix.asarray(uknots, numerix.Float))
if numerix.any(uknots < 0.) or numerix.any(uknots > 1.):
raise NURBSError, 'NURBS curve parameter out of range [0,1]'
self.cntrl, self.uknots = bspkntins(self.degree, self.cntrl, self.uknots, uknots)
def kntins(self, uknots):
"""Insert new knots into the curve
NOTE: No knot multiplicity will be increased beyond the order of the spline"""
if len(uknots):
uknots = np.sort(np.asarray(uknots, np.float))
if np.less(uknots, 0.) or np.greater(uknots, 1.):
raise NURBSError, 'NURBS curve parameter out of range [0,1]'
self.cntrl, self.uknots = bspkntins(self.degree, self.cntrl, self.uknots, uknots)
def kntins(self, uknots, vknots = None):
"""Insert new knots into the surface
uknots - knots to be inserted along u direction
vknots - knots to be inserted along v direction
NOTE: No knot multiplicity will be increased beyond the order of the spline"""
if len(vknots):
# Force the v knot sequence to be a vector in ascending order
vknots = np.sort(np.asarray(vknots, np.float))
# if np.less(vknots, 0.) or np.greater(vknots, 1.):
# raise NURBSError, 'Illegal vknots sequence'
coefs = np.resize(self.cntrl,(4*self.cntrl.shape[1], self.cntrl.shape[2]))
coefs, self.vknots = bspkntins(self.degree[1], coefs, self.vknots, vknots)
self.cntrl = np.resize(coefs, (4, self.cntrl.shape[1], coefs.shape[1]))
if len(uknots):
# Force the u knot sequence to be a vector in ascending order
uknots = np.sort(np.asarray(uknots, np.float))
# if np.less(uknots, 0.) or np.greater(uknots, 1.):
# raise NURBSError, 'Illegal uknots sequence'
coefs = np.transpose(self.cntrl,(0, 2, 1))
coefs = np.resize(coefs,(4*self.cntrl.shape[2], self.cntrl.shape[1]))
coefs, self.uknots = bspkntins(self.degree[0], coefs, self.uknots, uknots)
coefs = np.resize(coefs, (4, self.cntrl.shape[2], coefs.shape[1]))
self.cntrl = np.transpose(coefs,(0,2,1))
def extractU(self, v):
"Extract curve in u-direction at parameter v."
# if np.less(v, 0.) or np.greater(v, 1.):
# raise NURBSError, 'Out of parameter range [0,1]'
if v == 0.:
cntrl = self.cntrl[:,:,0]
knots = self.uknots[:]
elif v == 1.:
cntrl = self.cntrl[:,:,-1]
knots = self.uknots[:]
else:
vknots = np.repeat(np.asarray([v], np.float),[self.degree[0]*(self.cntrl.shape[1] + 1)])
coefs = np.resize(self.cntrl,(4*self.cntrl.shape[1], self.cntrl.shape[2]))
coefs, knots = bspkntins(self.degree[1], coefs, self.vknots, vknots)
cntrl = np.resize(coefs, (4, self.cntrl.shape[1], coefs.shape[1]))
i = 0
j = knots[0]
for k in knots[1:]:
if k == v:
break
elif k != j:
i += 1
j = k
return Crv.Crv(cntrl[:,:,i], self.uknots[:])