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more work on visualize
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2 changed files with 120 additions and 53 deletions
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@ -60,7 +60,7 @@ class GPLVM(GP):
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mu, var, upper, lower = self.predict(Xnew)
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pb.plot(mu[:,0], mu[:,1],'k',linewidth=1.5)
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def plot_latent(self,labels=None, which_indices=None, resolution=50):
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def plot_latent(self,labels=None, which_indices=None, resolution=50,ax=pb.gca()):
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"""
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:param labels: a np.array of size self.N containing labels for the points (can be number, strings, etc)
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:param resolution: the resolution of the grid on which to evaluate the predictive variance
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@ -89,8 +89,8 @@ class GPLVM(GP):
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Xtest_full = np.zeros((Xtest.shape[0], self.X.shape[1]))
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Xtest_full[:, :2] = Xtest
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mu, var, low, up = self.predict(Xtest_full)
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var = var[:, :1]
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pb.imshow(var.reshape(resolution,resolution).T[::-1,:],
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var = var[:, :1]
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ax.imshow(var.reshape(resolution,resolution).T[::-1,:],
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extent=[xmin[0], xmax[0], xmin[1], xmax[1]], cmap=pb.cm.binary,interpolation='bilinear')
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for i,ul in enumerate(np.unique(labels)):
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@ -108,17 +108,16 @@ class GPLVM(GP):
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else:
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x = self.X[index,input_1]
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y = self.X[index,input_2]
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pb.plot(x,y,marker='o',color=util.plot.Tango.nextMedium(),mew=0,label=this_label,linewidth=0)
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ax.plot(x,y,marker='o',color=util.plot.Tango.nextMedium(),mew=0,label=this_label,linewidth=0)
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pb.xlabel('latent dimension %i'%input_1)
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pb.ylabel('latent dimension %i'%input_2)
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ax.set_xlabel('latent dimension %i'%input_1)
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ax.set_ylabel('latent dimension %i'%input_2)
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if not np.all(labels==1.):
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pb.legend(loc=0,numpoints=1)
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ax.legend(loc=0,numpoints=1)
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pb.xlim(xmin[0],xmax[0])
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pb.ylim(xmin[1],xmax[1])
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pb.grid(b=False) # remove the grid if present, it doesn't look good
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ax = pb.gca()
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ax.set_xlim(xmin[0],xmax[0])
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ax.set_ylim(xmin[1],xmax[1])
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ax.grid(b=False) # remove the grid if present, it doesn't look good
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ax.set_aspect('auto') # set a nice aspect ratio
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return ax
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@ -2,22 +2,28 @@ import matplotlib.pyplot as plt
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from mpl_toolkits.mplot3d import Axes3D
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import GPy
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import numpy as np
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import matplotlib as mpl
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class lvm:
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def __init__(self, model, data_visualize, latent_axis, latent_index=[0,1], latent_dim=2):
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self.cid = latent_axis.figure.canvas.mpl_connect('button_press_event', self.on_click)
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self.cid = latent_axis.figure.canvas.mpl_connect('motion_notify_event', self.on_move)
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def __init__(self, model, data_visualize, latent_axes, latent_index=[0,1]):
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if isinstance(latent_axes,mpl.axes.Axes):
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self.cid = latent_axes.figure.canvas.mpl_connect('button_press_event', self.on_click)
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self.cid = latent_axes.figure.canvas.mpl_connect('motion_notify_event', self.on_move)
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else:
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self.cid = latent_axes[0].figure.canvas.mpl_connect('button_press_event', self.on_click)
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self.cid = latent_axes[0].figure.canvas.mpl_connect('motion_notify_event', self.on_move)
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self.data_visualize = data_visualize
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self.model = model
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self.latent_axis = latent_axis
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self.latent_axes = latent_axes
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self.called = False
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self.move_on = False
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self.latent_index = latent_index
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self.latent_dim = latent_dim
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self.latent_dim = model.Q
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def on_click(self, event):
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#print 'click', event.xdata, event.ydata
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if event.inaxes!=self.latent_axis: return
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if event.inaxes!=self.latent_axes: return
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self.move_on = not self.move_on
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# if self.called:
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# self.xs.append(event.xdata)
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@ -27,10 +33,10 @@ class lvm:
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# else:
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# self.xs = [event.xdata]
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# self.ys = [event.ydata]
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# self.line, = self.latent_axis.plot(event.xdata, event.ydata)
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# self.line, = self.latent_axes.plot(event.xdata, event.ydata)
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self.called = True
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def on_move(self, event):
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if event.inaxes!=self.latent_axis: return
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if event.inaxes!=self.latent_axes: return
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if self.called and self.move_on:
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# Call modify code on move
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#print 'move', event.xdata, event.ydata
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@ -40,52 +46,114 @@ class lvm:
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self.data_visualize.modify(y)
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#print 'y', y
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class data_show:
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"""The data show class is a base class which describes how to visualize a particular data set. For example, motion capture data can be plotted as a stick figure, or images are shown using imshow. This class enables latent to data visualizations for the GP-LVM."""
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class lvm_subplots(lvm):
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"""
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latent_axes is a np array of dimension np.ceil(Q/2) + 1,
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one for each pair of the axes, and the last one for the sensitiity histogram
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"""
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def __init__(self, model, data_visualize, latent_axes=None, latent_index=[0,1]):
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self.nplots = int(np.ceil(model.Q/2.))+1
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lvm.__init__(self,model,data_visualize,latent_axes,latent_index)
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self.latent_values = np.zeros(2*np.ceil(self.model.Q/2.)) # possibly an extra dimension on this
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assert latent_axes.size == self.nplots
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def __init__(self, vals, axis=None):
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class lvm_dimselect(lvm):
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"""
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A visualizer for latent variable models
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with selection by clicking on the histogram
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"""
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def __init__(self, model, data_visualize):
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self.fig,(latent_axes,self.hist_axes) = plt.subplots(1,2)
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lvm.__init__(self,model,data_visualize,latent_axes,[0,1])
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self.latent_values_clicked = np.zeros(model.Q)
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self._first_index_next = False
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def on_click(self, event):
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#print "click"
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if event.inaxes==self.hist_axes:
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self.hist_axes.cla()
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self.hist_axes.bar(np.arange(self.model.Q),1./self.model.input_sensitivity(),color='b')
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new_index = int(np.round(event.xdata))
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self.latent_index[int(self._first_index_next)] = new_index
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self._first_index_next = not self._first_index_next
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self.hist_axes.bar(np.array(self.latent_index),1./self.model.input_sensitivity()[self.latent_index],color='r')
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self.latent_axes.cla()
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self.model.plot_latent(which_indices = self.latent_index,ax=self.latent_axes)
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self.fig.canvas.draw()
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if event.inaxes==self.latent_axes:
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#self.latent_values_clicked[self.latent_index] = np.array([event.xdata,event.ydata])
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pass
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self.move_on=True
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self.called = True
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def on_move(self, event):
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#print "move"
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if event.inaxes!=self.latent_axes: return
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if self.called and self.move_on:
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latent_values = self.latent_values_clicked.copy()
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latent_values[self.latent_index] = np.array([event.xdata, event.ydata])
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y = self.model.predict(latent_values[None,:])[0]
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self.data_visualize.modify(y)
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class data_show:
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"""
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The data show class is a base class which describes how to visualize a
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particular data set. For example, motion capture data can be plotted as a
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stick figure, or images are shown using imshow. This class enables latent
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to data visualizations for the GP-LVM.
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"""
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def __init__(self, vals, axes=None):
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self.vals = vals
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# If no axes are defined, create some.
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if axis==None:
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if axes==None:
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fig = plt.figure()
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self.axis = fig.add_subplot(111)
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self.axes = fig.add_subplot(111)
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else:
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self.axis = axis
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self.axes = axes
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def modify(self, vals):
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raise NotImplementedError, "this needs to be implemented to use the data_show class"
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class vector_show(data_show):
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"""A base visualization class that just shows a data vector as a plot of vector elements alongside their indices."""
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def __init__(self, vals, axis=None):
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data_show.__init__(self, vals, axis)
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"""
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A base visualization class that just shows a data vector as a plot of
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vector elements alongside their indices.
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"""
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def __init__(self, vals, axes=None):
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data_show.__init__(self, vals, axes)
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self.vals = vals.T
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self.handle = self.axis.plot(np.arange(0, len(vals))[:, None], self.vals)[0]
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self.handle = self.axes.plot(np.arange(0, len(vals))[:, None], self.vals)[0]
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def modify(self, vals):
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xdata, ydata = self.handle.get_data()
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self.vals = vals.T
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self.handle.set_data(xdata, self.vals)
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self.axis.figure.canvas.draw()
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self.axes.figure.canvas.draw()
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class image_show(data_show):
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"""Show a data vector as an image."""
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def __init__(self, vals, axis=None, dimensions=(16,16), transpose=False, invert=False, scale=False):
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data_show.__init__(self, vals, axis)
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def __init__(self, vals, axes=None, dimensions=(16,16), transpose=False, invert=False, scale=False):
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data_show.__init__(self, vals, axes)
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self.dimensions = dimensions
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self.transpose = transpose
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self.invert = invert
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self.scale = scale
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self.set_image(vals/255.)
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self.handle = self.axis.imshow(self.vals, cmap=plt.cm.gray, interpolation='nearest')
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self.handle = self.axes.imshow(self.vals, cmap=plt.cm.gray, interpolation='nearest')
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plt.show()
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def modify(self, vals):
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self.set_image(vals/255.)
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#self.handle.remove()
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#self.handle = self.axis.imshow(self.vals)
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#self.handle = self.axes.imshow(self.vals)
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self.handle.set_array(self.vals)
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#self.axis.figure.canvas.draw()
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#self.axes.figure.canvas.draw()
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plt.show()
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def set_image(self, vals):
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@ -100,21 +168,21 @@ class image_show(data_show):
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class stick_show(data_show):
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"""Show a three dimensional point cloud as a figure. Connect elements of the figure together using the matrix connect."""
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def __init__(self, vals, axis=None, connect=None):
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if axis==None:
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def __init__(self, vals, axes=None, connect=None):
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if axes==None:
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fig = plt.figure()
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axis = fig.add_subplot(111, projection='3d')
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data_show.__init__(self, vals, axis)
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axes = fig.add_subplot(111, projection='3d')
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data_show.__init__(self, vals, axes)
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self.vals = vals.reshape((3, vals.shape[1]/3)).T
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self.x_lim = np.array([self.vals[:, 0].min(), self.vals[:, 0].max()])
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self.y_lim = np.array([self.vals[:, 1].min(), self.vals[:, 1].max()])
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self.z_lim = np.array([self.vals[:, 2].min(), self.vals[:, 2].max()])
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self.points_handle = self.axis.scatter(self.vals[:, 0], self.vals[:, 1], self.vals[:, 2])
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self.axis.set_xlim(self.x_lim)
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self.axis.set_ylim(self.y_lim)
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self.axis.set_zlim(self.z_lim)
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self.axis.set_aspect(1)
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self.axis.autoscale(enable=False)
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self.points_handle = self.axes.scatter(self.vals[:, 0], self.vals[:, 1], self.vals[:, 2])
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self.axes.set_xlim(self.x_lim)
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self.axes.set_ylim(self.y_lim)
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self.axes.set_zlim(self.z_lim)
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self.axes.set_aspect(1)
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self.axes.autoscale(enable=False)
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self.connect = connect
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if not self.connect==None:
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@ -132,17 +200,17 @@ class stick_show(data_show):
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z.append(self.vals[self.I[i], 2])
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z.append(self.vals[self.J[i], 2])
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z.append(np.NaN)
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self.line_handle = self.axis.plot(np.array(x), np.array(y), np.array(z), 'b-')
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self.axis.figure.canvas.draw()
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self.line_handle = self.axes.plot(np.array(x), np.array(y), np.array(z), 'b-')
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self.axes.figure.canvas.draw()
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def modify(self, vals):
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self.points_handle.remove()
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self.line_handle[0].remove()
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self.vals = vals.reshape((3, vals.shape[1]/3)).T
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self.points_handle = self.axis.scatter(self.vals[:, 0], self.vals[:, 1], self.vals[:, 2])
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self.axis.set_xlim(self.x_lim)
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self.axis.set_ylim(self.y_lim)
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self.axis.set_zlim(self.z_lim)
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self.points_handle = self.axes.scatter(self.vals[:, 0], self.vals[:, 1], self.vals[:, 2])
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self.axes.set_xlim(self.x_lim)
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self.axes.set_ylim(self.y_lim)
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self.axes.set_zlim(self.z_lim)
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self.line_handle = []
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if not self.connect==None:
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x = []
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@ -159,9 +227,9 @@ class stick_show(data_show):
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z.append(self.vals[self.I[i], 2])
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z.append(self.vals[self.J[i], 2])
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z.append(np.NaN)
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self.line_handle = self.axis.plot(np.array(x), np.array(y), np.array(z), 'b-')
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self.line_handle = self.axes.plot(np.array(x), np.array(y), np.array(z), 'b-')
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self.axis.figure.canvas.draw()
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self.axes.figure.canvas.draw()
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