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__author__ = 'matt' |
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from . import ch |
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import numpy as np |
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from .utils import row, col |
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import scipy.sparse as sp |
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import scipy.special |
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class Interp3D(ch.Ch): |
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dterms = 'locations' |
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terms = 'image' |
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def on_changed(self, which): |
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if 'image' in which: |
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self.gx, self.gy, self.gz = np.gradient(self.image) |
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def compute_r(self): |
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locations = self.locations.r.copy() |
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for i in range(3): |
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locations[:,i] = np.clip(locations[:,i], 0, self.image.shape[i]-1) |
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locs = np.floor(locations).astype(np.uint32) |
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result = self.image[locs[:,0], locs[:,1], locs[:,2]] |
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offset = (locations - locs) |
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dr = self.dr_wrt(self.locations).dot(offset.ravel()) |
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return result + dr |
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def compute_dr_wrt(self, wrt): |
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if wrt is self.locations: |
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locations = self.locations.r.copy() |
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for i in range(3): |
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locations[:,i] = np.clip(locations[:,i], 0, self.image.shape[i]-1) |
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locations = locations.astype(np.uint32) |
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xc = col(self.gx[locations[:,0], locations[:,1], locations[:,2]]) |
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yc = col(self.gy[locations[:,0], locations[:,1], locations[:,2]]) |
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zc = col(self.gz[locations[:,0], locations[:,1], locations[:,2]]) |
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data = np.vstack([xc.ravel(), yc.ravel(), zc.ravel()]).T.copy() |
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JS = np.arange(locations.size) |
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IS = JS // 3 |
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return sp.csc_matrix((data.ravel(), (IS, JS))) |
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class gamma(ch.Ch): |
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dterms = 'x', |
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def compute_r(self): |
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return scipy.special.gamma(self.x.r) |
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def compute_dr_wrt(self, wrt): |
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if wrt is self.x: |
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d = scipy.special.polygamma(0, self.x.r)*self.r |
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return sp.diags([d.ravel()], [0]) |
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def moment(a, moment=1, axis=0): |
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if moment == 1: |
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shape = list(a.shape) |
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del shape[axis] |
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if shape: |
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return ch.zeros(shape, dtype=float) |
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else: |
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return np.float64(0.0) |
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else: |
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mn = ch.expand_dims(a.mean(axis=axis), axis) |
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s = ch.power((a-mn), moment) |
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return s.mean(axis=axis) |
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