def setup(self):
self.input_color = YELLOW_C
self.output_color = RED
def spiril(t):
theta = 2*np.pi*t
return t*np.cos(theta)*RIGHT+t*np.sin(theta)*UP
self.spiril1 = ParametricFunction(
lambda t : 1.5*RIGHT + DOWN + 2*spiril(t),
density = 5*DEFAULT_POINT_DENSITY_1D,
)
self.spiril2 = ParametricFunction(
lambda t : 5.5*RIGHT + UP - 2*spiril(1-t),
density = 5*DEFAULT_POINT_DENSITY_1D,
)
Mobject.align_data(self.spiril1, self.spiril2)
self.output = Mobject(self.spiril1, self.spiril2)
self.output.ingest_submobjects()
self.output.highlight(GREEN_A)
self.interval = UnitInterval()
self.interval.scale_to_fit_width(SPACE_WIDTH-1)
self.interval.to_edge(LEFT)
self.input_dot = Dot(color = self.input_color)
self.output_dot = self.input_dot.copy().highlight(self.output_color)
left, right = self.interval.get_left(), self.interval.get_right()
self.input_homotopy = lambda (x, y, z, t) : (x, y, t) + interpolate(left, right, t)
output_size = self.output.get_num_points()-1
output_points = self.output.points
self.output_homotopy = lambda (x, y, z, t) : (x, y, z) + output_points[int(t*output_size)]
def construct(self):
curve = HilbertCurve(order = 6)
curve.highlight(WHITE)
colored_curve = curve.copy()
colored_curve.thin_out(3)
lion = ImageMobject("lion", invert = False)
lion.replace(curve, stretch = True)
sparce_lion = lion.copy()
sparce_lion.thin_out(100)
distance_matrix = cdist(colored_curve.points, sparce_lion.points)
closest_point_indices = np.apply_along_axis(
np.argmin, 1, distance_matrix
)
colored_curve.rgbas = sparce_lion.rgbas[closest_point_indices]
line = Line(5*LEFT, 5*RIGHT)
Mobject.align_data(line, colored_curve)
line.rgbas = colored_curve.rgbas
self.add(lion)
self.play(ShowCreation(curve, run_time = 3))
self.play(
FadeOut(lion),
Transform(curve, colored_curve),
run_time = 3
)
self.wait()
self.play(Transform(curve, line, run_time = 5))
self.wait()
def __init__(self,
mobject1,
mobject2,
run_time=DEFAULT_TRANSFORM_RUN_TIME,
interpolation_function=straight_path,
black_out_extra_points=False,
*args,
**kwargs):
self.interpolation_function = interpolation_function
count1, count2 = mobject1.get_num_points(), mobject2.get_num_points()
if count2 == 0:
mobject2 = Point((SPACE_WIDTH, SPACE_HEIGHT, 0))
count2 = mobject2.get_num_points()
Mobject.align_data(mobject1, mobject2)
Animation.__init__(self, mobject1, run_time=run_time, *args, **kwargs)
self.ending_mobject = mobject2
self.mobject.SHOULD_BUFF_POINTS = \
mobject1.SHOULD_BUFF_POINTS and mobject2.SHOULD_BUFF_POINTS
self.reference_mobjects.append(mobject2)
self.name += "To" + str(mobject2)
if black_out_extra_points and count2 < count1:
#Ensure redundant pixels fade to black
indices = np.arange(0, count1 - 1,
float(count1) / count2).astype('int')
temp = np.zeros(mobject2.points.shape)
temp[indices] = mobject2.rgbs[indices]
mobject2.rgbs = temp
self.non_redundant_m2_indices = indices
def __init__(self, mobject1, mobject2,
run_time = DEFAULT_TRANSFORM_RUN_TIME,
interpolation_function = straight_path,
black_out_extra_points = False,
*args, **kwargs):
self.interpolation_function = interpolation_function
count1, count2 = mobject1.get_num_points(), mobject2.get_num_points()
if count2 == 0:
mobject2 = Point((SPACE_WIDTH, SPACE_HEIGHT, 0))
count2 = mobject2.get_num_points()
Mobject.align_data(mobject1, mobject2)
Animation.__init__(self, mobject1, run_time = run_time, *args, **kwargs)
self.ending_mobject = mobject2
self.mobject.SHOULD_BUFF_POINTS = \
mobject1.SHOULD_BUFF_POINTS and mobject2.SHOULD_BUFF_POINTS
self.reference_mobjects.append(mobject2)
self.name += "To" + str(mobject2)
if black_out_extra_points and count2 < count1:
#Ensure redundant pixels fade to black
indices = np.arange(
0, count1-1, float(count1) / count2
).astype('int')
temp = np.zeros(mobject2.points.shape)
temp[indices] = mobject2.rgbs[indices]
mobject2.rgbs = temp
self.non_redundant_m2_indices = indices
def construct(self):
curve = HilbertCurve(order = 6)
curve.highlight(WHITE)
colored_curve = curve.copy()
colored_curve.thin_out(3)
lion = ImageMobject("lion", invert = False)
lion.replace(curve, stretch = True)
sparce_lion = lion.copy()
sparce_lion.thin_out(100)
distance_matrix = cdist(colored_curve.points, sparce_lion.points)
closest_point_indices = np.apply_along_axis(
np.argmin, 1, distance_matrix
)
colored_curve.rgbs = sparce_lion.rgbs[closest_point_indices]
line = Line(5*LEFT, 5*RIGHT)
Mobject.align_data(line, colored_curve)
line.rgbs = colored_curve.rgbs
self.add(lion)
self.play(ShowCreation(curve, run_time = 3))
self.play(
FadeOut(lion),
Transform(curve, colored_curve),
run_time = 3
)
self.dither()
self.play(Transform(curve, line, run_time = 5))
self.dither()
def setup(self):
self.input_color = YELLOW_C
self.output_color = RED
def spiril(t):
theta = 2*np.pi*t
return t*np.cos(theta)*RIGHT+t*np.sin(theta)*UP
self.spiril1 = ParametricFunction(
lambda t : 1.5*RIGHT + DOWN + 2*spiril(t),
density = 5*DEFAULT_POINT_DENSITY_1D,
)
self.spiril2 = ParametricFunction(
lambda t : 5.5*RIGHT + UP - 2*spiril(1-t),
density = 5*DEFAULT_POINT_DENSITY_1D,
)
Mobject.align_data(self.spiril1, self.spiril2)
self.output = Mobject(self.spiril1, self.spiril2)
self.output.ingest_sub_mobjects()
self.output.highlight(GREEN_A)
self.interval = UnitInterval()
self.interval.scale_to_fit_width(SPACE_WIDTH-1)
self.interval.to_edge(LEFT)
self.input_dot = Dot(color = self.input_color)
self.output_dot = self.input_dot.copy().highlight(self.output_color)
left, right = self.interval.get_left(), self.interval.get_right()
self.input_homotopy = lambda (x, y, z, t) : (x, y, t) + interpolate(left, right, t)
output_size = self.output.get_num_points()-1
output_points = self.output.points
self.output_homotopy = lambda (x, y, z, t) : (x, y, z) + output_points[int(t*output_size)]
def __init__(self, mobject, ending_mobject, **kwargs):
mobject, ending_mobject = map(instantiate, [mobject, ending_mobject])
digest_config(self, kwargs, locals())
count1, count2 = mobject.get_num_points(), ending_mobject.get_num_points()
if count2 == 0:
ending_mobject.add_points([SPACE_WIDTH*RIGHT+SPACE_HEIGHT*UP])
count2 = ending_mobject.get_num_points()
Mobject.align_data(mobject, ending_mobject)
if self.should_black_out_extra_points and count2 < count1:
self.black_out_extra_points(count1, count2)
Animation.__init__(self, mobject, **kwargs)
self.name += "To" + str(ending_mobject)
self.mobject.point_thickness = ending_mobject.point_thickness
def __init__(self, mobject, ending_mobject, **kwargs):
mobject = instantiate(mobject)
#Copy ending_mobject so as to not mess with caller
ending_mobject = instantiate(ending_mobject).copy()
digest_config(self, kwargs, locals())
count1, count2 = mobject.get_num_points(
), ending_mobject.get_num_points()
if count2 == 0:
ending_mobject.add_points([mobject.get_center()], color=BLACK)
count2 = ending_mobject.get_num_points()
Mobject.align_data(mobject, ending_mobject)
if self.should_black_out_extra_points and count2 < count1:
self.black_out_extra_points(count1, count2)
Animation.__init__(self, mobject, **kwargs)
self.name += "To" + str(ending_mobject)
self.mobject.point_thickness = ending_mobject.point_thickness
def __init__(self, start_anim, end_anim, **kwargs):
digest_config(self, kwargs, locals())
if "run_time" in kwargs:
self.run_time = kwargs.pop("run_time")
else:
self.run_time = max(start_anim.run_time, end_anim.run_time)
for anim in start_anim, end_anim:
anim.set_run_time(self.run_time)
if start_anim.starting_mobject.get_num_points() != end_anim.starting_mobject.get_num_points():
Mobject.align_data(start_anim.starting_mobject, end_anim.starting_mobject)
for anim in start_anim, end_anim:
if hasattr(anim, "ending_mobject"):
Mobject.align_data(anim.starting_mobject, anim.ending_mobject)
Transform.__init__(self, start_anim.mobject, end_anim.mobject, **kwargs)
#Rewire starting and ending mobjects
start_anim.mobject = self.starting_mobject
end_anim.mobject = self.ending_mobject
def __init__(self, mobject, ending_mobject, **kwargs):
mobject = instantiate(mobject)
#Copy ending_mobject so as to not mess with caller
ending_mobject = instantiate(ending_mobject).copy()
digest_config(self, kwargs, locals())
count1, count2 = mobject.get_num_points(), ending_mobject.get_num_points()
if count2 == 0:
ending_mobject.add_points(
[mobject.get_center()],
color = BLACK
)
count2 = ending_mobject.get_num_points()
Mobject.align_data(mobject, ending_mobject)
if self.should_black_out_extra_points and count2 < count1:
self.black_out_extra_points(count1, count2)
Animation.__init__(self, mobject, **kwargs)
self.name += "To" + str(ending_mobject)
self.mobject.point_thickness = ending_mobject.point_thickness
def __init__(self, start_anim, end_anim, **kwargs):
digest_config(self, kwargs, locals())
if "run_time" in kwargs:
self.run_time = kwargs.pop("run_time")
else:
self.run_time = max(start_anim.run_time, end_anim.run_time)
for anim in start_anim, end_anim:
anim.set_run_time(self.run_time)
if start_anim.starting_mobject.get_num_points(
) != end_anim.starting_mobject.get_num_points():
Mobject.align_data(start_anim.starting_mobject,
end_anim.starting_mobject)
for anim in start_anim, end_anim:
if hasattr(anim, "ending_mobject"):
Mobject.align_data(anim.starting_mobject,
anim.ending_mobject)
Transform.__init__(self, start_anim.mobject, end_anim.mobject,
**kwargs)
#Rewire starting and ending mobjects
start_anim.mobject = self.starting_mobject
end_anim.mobject = self.ending_mobject