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