def calculate_trajectory(self):
patternLength = self.pattern.length
if self.trajectory_type == "coordinate":
values = [(v.x, v.y) for v in self.trajectory_set]
t = 0.0
self.values = []
# calculate the initial value
self.values.append(
bezier(values[0], values[1], values[2], values[3], t))
dt = 1.0 / (patternLength - 1)
for i in xrange(1, patternLength):
t += dt
self.values.append(
bezier(values[0], values[1], values[2], values[3], t))
elif self.trajectory_type == "boolean":
ft_set = self.trajectory_set.order_by('instrument')
self.values = [
i for i in xrange(ft_set.count()) if ft_set[i].value
]
else:
ft_set = self.trajectory_set.order_by('instrument')
self.values = [(i, ft_set[i].value)
for i in xrange(ft_set.count())]
def exer1_4():
"""
Split a bezier curve defined by control vertexes
in a specific point of the parametric domain.
"""
V = np.array([[0,0,0],[1,2,0],[3,2,3],[2,6,2]])
C1,C2 = fn.splitControlPoints(V, 0.6)
fn.drawVertexes(fn.bezier(C1))
fn.drawVertexes(C1)
fn.drawVertexes(C1,'o')
fn.drawVertexes(fn.bezier(C2))
fn.drawVertexes(C2)
fn.drawVertexes(C2,'o')
def exer1_7():
"""
Given the control vertexes of a Bezier curve and a set of
extra vertexes, attach the extra vertexes to the original
ones with the chosen continuity (some vertexes will be created).
"""
V = np.array([[0,0,0],[1,2,0],[3,2,0],[6,-1,0]])
Va = fn.attachWithC(V, np.array([[2,-1,3]]),C=2,hOrig=1.,hAttach=1.)
fn.drawVertexes(fn.bezier(V))
fn.drawVertexes(V)
fn.drawVertexes(V,'o')
fn.drawVertexes(fn.bezier(Va))
fn.drawVertexes(Va)
fn.drawVertexes(Va,'o')
def exer1_5():
"""
Show the effects of the increase of the multiplicity
of a control vertex of a Bezier curve.
"""
V1 = np.array([[0,0,0],[1,2,0],[3,2,3],[2,6,2]])
V2 = np.array([[0,0,0],[1,2,0],[3,2,3],[3,2,3],[2,6,2]])
V3 = np.array([[0,0,0],[1,2,0],[3,2,3],[3,2,3],[3,2,3],[2,6,2]])
V4 = np.array([[0,0,0],[1,2,0],[3,2,3],[3,2,3],[3,2,3],[3,2,3],[2,6,2]])
fn.drawVertexes(V1)
fn.drawVertexes(V1,'o')
fn.drawVertexes(fn.bezier(V1))
fn.drawVertexes(fn.bezier(V2))
fn.drawVertexes(fn.bezier(V3))
fn.drawVertexes(fn.bezier(V4))
def exer1_2():
"""
Draw a Bezier curve using De Casteljau algorithm.
"""
V = np.array([[0,0,0],[1,2,0],[3,2,3],[2,6,2]])
fn.drawVertexes(fn.bezier(V))
fn.drawVertexes(V)
fn.drawVertexes(V,'o')
def exer1_3():
"""
Calculate the Bezier curve of the parametric curve:
X(t)=1+t+t^2
Y(t)=t^3
for t in [0,1].
"""
X = sympy.Poly('1+t+t**2')
Y = sympy.Poly('t**3')
P = fn.mergePoly(X,Y)
#P = np.array([[1,0],[1,0],[1,0],[0,1]])
V = fn.exp2bernstein(P)
fn.drawVertexes(fn.bezier(V))
fn.drawVertexes(V)
fn.drawVertexes(V,'o')
def exer1_6():
"""
Increase the grade of a Bezier curve defined by his
control vertexes.
"""
V = np.array([[0,0,0],[1,2,0],[3,2,3],[2,6,2]])
V1 = fn.increaseGrade(V)
V2 = fn.increaseGrade(V1)
V3 = fn.increaseGrade(V2)
fn.drawVertexes(fn.bezier(V))
fn.drawVertexes(V)
fn.drawVertexes(V,'o')
fn.drawVertexes(V1)
fn.drawVertexes(V1,'o')
fn.drawVertexes(V2)
fn.drawVertexes(V2,'o')
fn.drawVertexes(V3)
fn.drawVertexes(V3,'o')
