def egg3dQuaternion(self, a, b, c, d):
self._quatHist = np.roll(self._quatHist, 1)
self._quatHist[0] = Quaternion(a, c, b, d)
q0 = Quaternion(0, 0, 0, 0)
for q, w in zip(self._quatHist, self._quatWeights):
q0 = q0 + q * w
self.transform.setQuaternion(q0)
def center(self):
self.quatRot = Quaternion()
self.cameraZ = 5.
self.zoom = 1.
self.scaleAll = 1.
self.setBounds(-1, 1., -1, 1, -1, 1)
self.setTranslate(0, 0, 0)
self.update()
self._transformChanged.emit()
def addRotation(self, angle, x, y, z, from_left = True):
q = Quaternion(np.cos(angle), np.sin(angle) * x, np.sin(angle) * y, np.sin(angle) * z)
if from_left:
q_new = q*self.quatRot
else:
q_new = self.quatRot *q
self.setQuaternion(q_new)
def mouseMoveEvent(self, event):
# c = append(self.cubeCoords,ones(24)[:,newaxis],axis=1)
# cUser = dot(c,self.finalMat)
# cUser = cUser[:,:3]/cUser[:,-1,newaxis]
# print self.finalMat
# print c[0], cUser[0]
# Rotation
if event.buttons() == QtCore.Qt.LeftButton:
x1, y1, z1 = self.posToVec3(event.x(), event.y())
logger.debug("mouse position: %s %s %s " % (x1, y1, z1))
n = np.cross(np.array([self._x0, self._y0, self._z0]),
np.array([x1, y1, z1]))
nnorm = linalg.norm(n)
if np.abs(nnorm) >= 1.:
nnorm *= 1. / np.abs(nnorm)
w = np.arcsin(nnorm)
n *= 1. / (nnorm + 1.e-10)
q = Quaternion(np.cos(.5 * w), *(np.sin(.5 * w) * n))
self.transform.setQuaternion(self.transform.quatRot * q)
# Translation
if event.buttons() == QtCore.Qt.RightButton:
x, y = self.posToVec2(event.x(), event.y())
dx, dy, foo = np.dot(self._invRotM,
[x - self._x0, y - self._y0, 0])
self.transform.addTranslate(dx, dy, foo)
self._x0, self._y0 = x, y
self.refresh()
def center(self):
self.quatRot = Quaternion()
self.cameraZ = 5.
self.zoom = 1.
self.scaleAll = 1.
self.setBounds(-1, 1., -1, 1, -1, 1)
self.setTranslate(0, 0, 0)
self.update()
self._transformChanged.emit()
def spimagine_show_volume_numpy(numpy_array, stackUnits=(1, 1, 1), \
interpolation="nearest", cmap="grays"):
# Spimagine OpenCL volume renderer.
volfig()
spim_widget = \
volshow(numpy_array, stackUnits=stackUnits, interpolation=interpolation)
spim_widget.set_colormap(cmap)
spim_widget.transform.setQuaternion(Quaternion(-0.005634209439510011,\
0.00790509382124309,\
-0.0013812284289010514,\
-0.9999519273706857))
def connectEgg3d(self):
try:
self.egg3d.listener._quaternionChanged.connect(self.egg3dQuaternion)
self.egg3d.listener._zoomChanged.connect(self.egg3dZoom)
N = 45
self._quatHist = [Quaternion() for i in range(N)]
self._quatWeights = np.exp(-2.*np.linspace(0,1,N))
self._quatWeights *= 1./sum(self._quatWeights)
self.egg3d.start()
except Exception as e:
print(e)
self.settingsView.checkEgg.setCheckState(QtCore.Qt.Unchecked)
def setQuaternion(self, quat):
logger.debug("set quaternion to %s", quat.data)
self.quatRot = Quaternion.copy(quat)
self._rotationChanged.emit()
self._transformChanged.emit()
def setRotation(self, angle, x, y, z):
self.setQuaternion(Quaternion(np.cos(angle), np.sin(angle) * x, np.sin(angle) * y, np.sin(angle) * z))
class TransformModel(QtCore.QObject):
_maxChanged = QtCore.pyqtSignal(float)
_minChanged = QtCore.pyqtSignal(float)
_gammaChanged = QtCore.pyqtSignal(float)
_boxChanged = QtCore.pyqtSignal(int)
_isoChanged = QtCore.pyqtSignal(bool)
_interpChanged = QtCore.pyqtSignal(bool)
_perspectiveChanged = QtCore.pyqtSignal(int)
# _rotationChanged = QtCore.pyqtSignal(float,float,float,float)
_rotationChanged = QtCore.pyqtSignal()
_translateChanged = QtCore.pyqtSignal(float, float, float)
_slicePosChanged = QtCore.pyqtSignal(int)
_sliceDimChanged = QtCore.pyqtSignal(int)
_boundsChanged = QtCore.pyqtSignal(float, float, float, float, float, float)
_transformChanged = QtCore.pyqtSignal()
_stackUnitsChanged = QtCore.pyqtSignal(float, float, float)
_alphaPowChanged = QtCore.pyqtSignal(float)
def __init__(self):
super(TransformModel, self).__init__()
self.reset()
def _update_value(self, name, newval):
"""update self.name to newval and returns True if the
new value indeed was different than the new"""
if not hasattr(self, name):
setattr(self, name, newval)
return True
oldval = getattr(self, name)
is_equal = True
if isinstance(oldval, np.ndarray):
is_equal = np.array_equal(oldval, newval)
elif isinstance(oldval, Quaternion):
is_equal = np.array_equal(oldval.data, newval.data)
else:
is_equal = (oldval == newval)
if not is_equal:
setattr(self, name, newval)
return not is_equal
def setModel(self, dataModel):
self.dataModel = dataModel
def reset(self, minVal=0., maxVal=256., stackUnits=None):
logger.debug("reset: min = %s max = %s" % (minVal, maxVal))
self.dataPos = 0
self.slicePos = 0
self.sliceDim = 0
self.zoom = 1.
self.setIso(False)
self.isPerspective = True
self.setPerspective()
self.setValueScale(minVal, maxVal)
self.setGamma(1.)
self.setAlphaPow(0)
self.setBox(True)
self.setInterpolate(True)
self.setOccStrength()
self.setOccRadius()
self.setOccNPoints()
self.eye_dist_proj = 0
self.eye_dist_cam = 0
if not hasattr(self, "isSlice"):
self.setShowSlice(False)
if not stackUnits:
stackUnits = [.1, .1, .1]
self.setStackUnits(*stackUnits)
self.center()
def setIso(self, isIso):
logger.debug("setting Iso %s" % isIso)
if self._update_value("isIso", isIso):
self._isoChanged.emit(isIso)
self._transformChanged.emit()
def setInterpolate(self, is_interpolate):
logger.debug("setting interpolation %s" % is_interpolate)
if self._update_value("is_interpolate", is_interpolate):
self._interpChanged.emit(is_interpolate)
self._transformChanged.emit()
def setOccStrength(self, occ_strength=.15):
if self._update_value("occ_strength", occ_strength):
self._transformChanged.emit()
def setOccRadius(self, val=21):
if self._update_value("occ_radius", val):
self._transformChanged.emit()
def setOccNPoints(self, val=31):
if self._update_value("occ_n_points", val):
self._transformChanged.emit()
def center(self):
self.quatRot = Quaternion()
self.cameraZ = 5.
self.zoom = 1.
self.scaleAll = 1.
self.setBounds(-1, 1., -1, 1, -1, 1)
self.setTranslate(0, 0, 0)
self.update()
self._transformChanged.emit()
def setTranslate(self, x, y, z):
newtrans = np.array([x, y, z])
if self._update_value("translate", newtrans):
self._translateChanged.emit(x, y, z)
self._transformChanged.emit()
def addTranslate(self, dx, dy, dz):
self.translate = self.translate + np.array([dx, dy, dz])
self._translateChanged.emit(*self.translate)
self._transformChanged.emit()
def setBounds(self, x1, x2, y1, y2, z1, z2):
self.bounds = np.array([x1, x2, y1, y2, z1, z2])
self._boundsChanged.emit(x1, x2, y1, y2, z1, z2)
self._transformChanged.emit()
def setShowSlice(self, isSlice=True):
self.isSlice = isSlice
self._transformChanged.emit()
def setSliceDim(self, dim):
logger.debug("setSliceDim(%s)", dim)
if dim >= 0 and dim < 3:
self.sliceDim = dim
self._sliceDimChanged.emit(dim)
self._transformChanged.emit()
else:
raise ValueError("dim should be in [0,1,2]!")
def setSlicePos(self, pos):
logger.debug("setSlicePos(%s)", pos)
self.slicePos = pos
self._slicePosChanged.emit(pos)
self._transformChanged.emit()
def setPos(self, pos):
logger.debug("setPos(%s)", pos)
self.dataPos = pos
self.dataModel.setPos(pos)
self._transformChanged.emit()
def setGamma(self, gamma):
logger.debug("setGamma(%s)", gamma)
self.gamma = gamma
self._gammaChanged.emit(self.gamma)
self._transformChanged.emit()
def setAlphaPow(self, alphaPow):
logger.debug("setAlphaPow(%s)", alphaPow)
self.alphaPow = alphaPow
self._alphaPowChanged.emit(self.alphaPow)
self._transformChanged.emit()
def setValueScale(self, minVal, maxVal):
logger.debug("set scale to %s,%s" % (minVal, maxVal))
self.setMin(minVal)
self.setMax(maxVal)
def setMin(self, minVal):
self.minVal = max(1.e-6, minVal)
logger.debug("set min to %s" % (self.minVal))
self._minChanged.emit(self.minVal)
self._transformChanged.emit()
def setMax(self, maxVal):
self.maxVal = maxVal
logger.debug("set max to %s" % (self.maxVal))
self._maxChanged.emit(self.maxVal)
self._transformChanged.emit()
def setStackUnits(self, px, py, pz):
self.stackUnits = px, py, pz
self._stackUnitsChanged.emit(px, py, pz)
self._transformChanged.emit()
def setBox(self, isBox=True):
self.isBox = isBox
self._boxChanged.emit(isBox)
self._transformChanged.emit()
def setZoom(self, zoom=1.):
# self.zoom = np.clip(zoom,.5,2)
self.zoom = np.clip(zoom, .3, 2)
self.update()
self._transformChanged.emit()
def addRotation(self, angle, x, y, z, from_left = True):
q = Quaternion(np.cos(angle), np.sin(angle) * x, np.sin(angle) * y, np.sin(angle) * z)
if from_left:
q_new = q*self.quatRot
else:
q_new = self.quatRot *q
self.setQuaternion(q_new)
def setRotation(self, angle, x, y, z):
self.setQuaternion(Quaternion(np.cos(angle), np.sin(angle) * x, np.sin(angle) * y, np.sin(angle) * z))
def setQuaternion(self, quat):
logger.debug("set quaternion to %s", quat.data)
self.quatRot = Quaternion.copy(quat)
self._rotationChanged.emit()
self._transformChanged.emit()
def setEyeDistProj(self, eye_dist_proj=0):
self.eye_dist_proj = eye_dist_proj
self.update()
print(self.eye_dist_proj)
self._transformChanged.emit()
def setEyeDistCam(self, eye_dist_cam=0.):
self.eye_dist_cam = eye_dist_cam
print(self.eye_dist_cam)
self.update()
self._transformChanged.emit()
def update(self):
if self.isPerspective:
self.cameraZ = 4 * (1 - np.log(self.zoom) / np.log(2.))
self.scaleAll = 1.
else:
self.cameraZ = 0.
self.scaleAll = 2.5 ** (self.zoom - 1.)
def setPerspective(self, isPerspective=True):
self.isPerspective = isPerspective
if isPerspective:
self.projection = mat4_perspective(60., 1., .1, 10)
else:
self.projection = mat4_ortho(-2., 2., -2., 2., -1.5, 1.5)
self.update()
self._perspectiveChanged.emit(isPerspective)
self._transformChanged.emit()
def getProjection(self):
return self.projection
def getModelView(self):
""" returns the modelview with the added internal scale from the rendered volume
this should be used when drawing standard opengl primitives with the same trasnformation as
the rendered model"""
modelView = self.getUnscaledModelView()
# scale the interns
if hasattr(self, "dataModel"):
Nz, Ny, Nx = self.dataModel.size()[1:]
dx, dy, dz = self.stackUnits
maxDim = max(d * N for d, N in zip([dx, dy, dz], [Nx, Ny, Nz]))
mScale = mat4_scale(1. * dx * Nx / maxDim, 1. * dy * Ny / maxDim, 1. * dz * Nz / maxDim)
modelView = np.dot(modelView, mScale)
return modelView
def getUnscaledModelView(self):
"""this one should be given to the render kernel"""
view = mat4_translate(0, 0, -self.cameraZ)
model = mat4_scale(*[self.scaleAll] * 3)
model = np.dot(model, self.quatRot.toRotation4())
model = np.dot(model, mat4_translate(*self.translate))
# return model
return np.dot(view, model)
def fromTransformData(self, transformData):
self.setQuaternion(transformData.quatRot)
self.setZoom(transformData.zoom)
self.setPos(transformData.dataPos)
self.setBounds(*transformData.bounds)
self.setBox(transformData.isBox)
self.setIso(transformData.isIso)
self.setAlphaPow(transformData.alphaPow)
self.setTranslate(*transformData.translate)
self.setValueScale(transformData.minVal,transformData.maxVal)
self.setGamma(transformData.gamma)
self.setValueScale(transformData.minVal, transformData.maxVal)
# self.setGamma(transformData.gamma)
def toTransformData(self):
return TransformData(quatRot=self.quatRot, zoom=self.zoom,
dataPos=self.dataPos,
minVal=self.minVal,
maxVal=self.maxVal,
gamma=self.gamma,
translate=self.translate,
bounds=self.bounds,
isBox=self.isBox,
isIso=self.isIso,
alphaPow=self.alphaPow)
def mat4_rotation(w=0, x=1, y=0, z=0):
n = np.array([x, y, z], np.float32)
n *= 1./np.sqrt(1.*np.sum(n**2))
q = Quaternion(np.cos(.5*w), *(np.sin(.5*w)*n))
return q.toRotation4()
def addRotation(self, angle, x, y, z):
q = Quaternion(np.cos(angle),
np.sin(angle) * x,
np.sin(angle) * y,
np.sin(angle) * z)
self.setQuaternion(self.quatRot * q)
def setQuaternion(self, quat):
logger.debug("set quaternion to %s", quat.data)
self.quatRot = Quaternion.copy(quat)
self._rotationChanged.emit()
self._transformChanged.emit()
class TransformModel(QtCore.QObject):
_maxChanged = QtCore.pyqtSignal(float)
_minChanged = QtCore.pyqtSignal(float)
_gammaChanged = QtCore.pyqtSignal(float)
_boxChanged = QtCore.pyqtSignal(int)
_isoChanged = QtCore.pyqtSignal(bool)
_interpChanged = QtCore.pyqtSignal(bool)
_perspectiveChanged = QtCore.pyqtSignal(int)
# _rotationChanged = QtCore.pyqtSignal(float,float,float,float)
_rotationChanged = QtCore.pyqtSignal()
_translateChanged = QtCore.pyqtSignal(float, float, float)
_slicePosChanged = QtCore.pyqtSignal(int)
_sliceDimChanged = QtCore.pyqtSignal(int)
_boundsChanged = QtCore.pyqtSignal(float, float, float, float, float, float)
_transformChanged = QtCore.pyqtSignal()
_stackUnitsChanged = QtCore.pyqtSignal(float, float, float)
_alphaPowChanged = QtCore.pyqtSignal(float)
def __init__(self):
super(TransformModel, self).__init__()
self.reset()
def _update_value(self, name, newval):
"""update self.name to newval and returns True if the
new value indeed was different than the new"""
if not hasattr(self, name):
setattr(self, name, newval)
return True
oldval = getattr(self, name)
is_equal = True
if isinstance(oldval, np.ndarray):
is_equal = np.array_equal(oldval, newval)
elif isinstance(oldval, Quaternion):
is_equal = np.array_equal(oldval.data, newval.data)
else:
is_equal = (oldval == newval)
if not is_equal:
setattr(self, name, newval)
return not is_equal
def setModel(self, dataModel):
self.dataModel = dataModel
def reset(self, minVal=0., maxVal=256., stackUnits=None):
logger.debug("reset: min = %s max = %s" % (minVal, maxVal))
self.dataPos = 0
self.slicePos = 0
self.sliceDim = 0
self.zoom = 1.
self.setIso(False)
self.isPerspective = True
self.setPerspective()
self.setValueScale(minVal, maxVal)
self.setGamma(1.)
self.setAlphaPow(0)
self.setBox(True)
self.setInterpolate(True)
self.setOccStrength()
self.setOccRadius()
self.setOccNPoints()
self.eye_dist_proj = 0
self.eye_dist_cam = 0
if not hasattr(self, "isSlice"):
self.setShowSlice(False)
if not stackUnits:
stackUnits = [.1, .1, .1]
self.setStackUnits(*stackUnits)
self.center()
def setIso(self, isIso):
logger.debug("setting Iso %s" % isIso)
if self._update_value("isIso", isIso):
self._isoChanged.emit(isIso)
self._transformChanged.emit()
def setInterpolate(self, is_interpolate):
logger.debug("setting interpolation %s" % is_interpolate)
if self._update_value("is_interpolate", is_interpolate):
self._interpChanged.emit(is_interpolate)
self._transformChanged.emit()
def setOccStrength(self, occ_strength=.15):
if self._update_value("occ_strength", occ_strength):
self._transformChanged.emit()
def setOccRadius(self, val=21):
if self._update_value("occ_radius", val):
self._transformChanged.emit()
def setOccNPoints(self, val=31):
if self._update_value("occ_n_points", val):
self._transformChanged.emit()
def center(self):
self.quatRot = Quaternion()
self.cameraZ = 5.
self.zoom = 1.
self.scaleAll = 1.
self.setBounds(-1, 1., -1, 1, -1, 1)
self.setTranslate(0, 0, 0)
self.update()
self._transformChanged.emit()
def setTranslate(self, x, y, z):
newtrans = np.array([x, y, z])
if self._update_value("translate", newtrans):
self._translateChanged.emit(x, y, z)
self._transformChanged.emit()
def addTranslate(self, dx, dy, dz):
self.translate = self.translate + np.array([dx, dy, dz])
self._translateChanged.emit(*self.translate)
self._transformChanged.emit()
def setBounds(self, x1, x2, y1, y2, z1, z2):
self.bounds = np.array([x1, x2, y1, y2, z1, z2])
self._boundsChanged.emit(x1, x2, y1, y2, z1, z2)
self._transformChanged.emit()
def setShowSlice(self, isSlice=True):
self.isSlice = isSlice
self._transformChanged.emit()
def setSliceDim(self, dim):
logger.debug("setSliceDim(%s)", dim)
if dim >= 0 and dim < 3:
self.sliceDim = dim
self._sliceDimChanged.emit(dim)
self._transformChanged.emit()
else:
raise ValueError("dim should be in [0,1,2]!")
def setSlicePos(self, pos):
logger.debug("setSlicePos(%s)", pos)
self.slicePos = pos
self._slicePosChanged.emit(pos)
self._transformChanged.emit()
def setPos(self, pos):
logger.debug("setPos(%s)", pos)
self.dataPos = pos
self.dataModel.setPos(pos)
self._transformChanged.emit()
def setGamma(self, gamma):
logger.debug("setGamma(%s)", gamma)
self.gamma = gamma
self._gammaChanged.emit(self.gamma)
self._transformChanged.emit()
def setAlphaPow(self, alphaPow):
logger.debug("setAlphaPow(%s)", alphaPow)
self.alphaPow = alphaPow
self._alphaPowChanged.emit(self.alphaPow)
self._transformChanged.emit()
def setValueScale(self, minVal, maxVal):
logger.debug("set scale to %s,%s" % (minVal, maxVal))
self.setMin(minVal)
self.setMax(maxVal)
def setMin(self, minVal):
self.minVal = max(1.e-6, minVal)
logger.debug("set min to %s" % (self.minVal))
self._minChanged.emit(self.minVal)
self._transformChanged.emit()
def setMax(self, maxVal):
self.maxVal = maxVal
logger.debug("set max to %s" % (self.maxVal))
self._maxChanged.emit(self.maxVal)
self._transformChanged.emit()
def setStackUnits(self, px, py, pz):
self.stackUnits = px, py, pz
self._stackUnitsChanged.emit(px, py, pz)
self._transformChanged.emit()
def setBox(self, isBox=True):
self.isBox = isBox
self._boxChanged.emit(isBox)
self._transformChanged.emit()
def setZoom(self, zoom=1.):
# self.zoom = np.clip(zoom,.5,2)
self.zoom = np.clip(zoom, .3, 2)
self.update()
self._transformChanged.emit()
def addRotation(self, angle, x, y, z, from_left = True):
q = Quaternion(np.cos(angle), np.sin(angle) * x, np.sin(angle) * y, np.sin(angle) * z)
if from_left:
q_new = q*self.quatRot
else:
q_new = self.quatRot *q
self.setQuaternion(q_new)
def setRotation(self, angle, x, y, z):
self.setQuaternion(Quaternion(np.cos(angle), np.sin(angle) * x, np.sin(angle) * y, np.sin(angle) * z))
def setQuaternion(self, quat):
logger.debug("set quaternion to %s", quat.data)
self.quatRot = Quaternion.copy(quat)
self._rotationChanged.emit()
self._transformChanged.emit()
def setEyeDistProj(self, eye_dist_proj=0):
self.eye_dist_proj = eye_dist_proj
self.update()
print(self.eye_dist_proj)
self._transformChanged.emit()
def setEyeDistCam(self, eye_dist_cam=0.):
self.eye_dist_cam = eye_dist_cam
print(self.eye_dist_cam)
self.update()
self._transformChanged.emit()
def update(self):
if self.isPerspective:
self.cameraZ = 4 * (1 - np.log(self.zoom) / np.log(2.))
self.scaleAll = 1.
else:
self.cameraZ = 0.
self.scaleAll = 2.5 ** (self.zoom - 1.)
def setPerspective(self, isPerspective=True):
self.isPerspective = isPerspective
if isPerspective:
self.projection = mat4_perspective(60., 1., .1, 10)
else:
self.projection = mat4_ortho(-2., 2., -2., 2., -1.5, 1.5)
self.update()
self._perspectiveChanged.emit(isPerspective)
self._transformChanged.emit()
def getProjection(self):
return self.projection
def getModelView(self):
""" returns the modelview with the added internal scale from the rendered volume
this should be used when drawing standard opengl primitives with the same trasnformation as
the rendered model"""
modelView = self.getUnscaledModelView()
# scale the interns
if hasattr(self, "dataModel"):
Nz, Ny, Nx = self.dataModel.size()[1:]
dx, dy, dz = self.stackUnits
maxDim = max(d * N for d, N in zip([dx, dy, dz], [Nx, Ny, Nz]))
mScale = mat4_scale(1. * dx * Nx / maxDim, 1. * dy * Ny / maxDim, 1. * dz * Nz / maxDim)
modelView = np.dot(modelView, mScale)
return modelView
def getUnscaledModelView(self):
"""this one should be given to the render kernel"""
view = mat4_translate(0, 0, -self.cameraZ)
model = mat4_scale(*[self.scaleAll] * 3)
model = np.dot(model, self.quatRot.toRotation4())
model = np.dot(model, mat4_translate(*self.translate))
# return model
return np.dot(view, model)
def fromTransformData(self, transformData):
self.setQuaternion(transformData.quatRot)
self.setZoom(transformData.zoom)
self.setPos(transformData.dataPos)
self.setBounds(*transformData.bounds)
self.setBox(transformData.isBox)
self.setIso(transformData.isIso)
self.setAlphaPow(transformData.alphaPow)
self.setTranslate(*transformData.translate)
self.setValueScale(transformData.minVal,transformData.maxVal)
self.setGamma(transformData.gamma)
self.setValueScale(transformData.minVal, transformData.maxVal)
self.setShowSlice(transformData.isSlice)
self.setSlicePos(transformData.slicePos)
self.setSliceDim(transformData.sliceDim)
# self.setGamma(transformData.gamma)
def toTransformData(self):
return TransformData(quatRot=self.quatRot, zoom=self.zoom,
dataPos=self.dataPos,
minVal=self.minVal,
maxVal=self.maxVal,
gamma=self.gamma,
translate=self.translate,
bounds=self.bounds,
isBox=self.isBox,
isIso=self.isIso,
alphaPow=self.alphaPow,
isSlice=self.isSlice,
slicePos=self.slicePos,
sliceDim = self.sliceDim
)
def mat4_rotation(w=0, x=1, y=0, z=0):
n = np.array([x, y, z], np.float32)
n *= 1. / np.sqrt(1. * np.sum(n**2))
q = Quaternion(np.cos(.5 * w), *(np.sin(.5 * w) * n))
return q.toRotation4()
