Euler angles convention - Revision history

Daniel Castaño at 21:26, 4 August 2016

2016-08-04T21:26:52Z

Daniel Castaño at 16:07, 28 April 2016

2016-04-28T16:07:33Z

Daniel Castaño at 16:06, 28 April 2016

2016-04-28T16:06:57Z

Daniel Castaño at 16:06, 28 April 2016

2016-04-28T16:06:15Z

Daniel Castaño at 16:01, 28 April 2016

2016-04-28T16:01:54Z

Daniel Castaño at 16:01, 28 April 2016

2016-04-28T16:01:09Z

Daniel Castaño at 15:55, 28 April 2016

2016-04-28T15:55:19Z

Daniel Castaño at 15:54, 28 April 2016

2016-04-28T15:54:18Z

Daniel Castaño: Created page with "''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read as [tdrot, tilt, narot], with the following visual depicti..."

2016-04-28T15:54:01Z

Created page with "''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read as [tdrot, tilt, narot], with the following visual depicti..."

New page

''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read as [tdrot, tilt, narot], with the following visual depiction: imagine a particle with an axis aligned with the z direction. The action of the triplet of angles of this particle would be like this.
# tdrot (for rotation of tilt direction)
The particle rotates clockwise about its z axis.
# tilt
the particle rotates clockwise about its new x axis.
# narot (for rotation about NewAxis)
the particle rotates clockwise about its new z axis.
In the context of subtomogram averaging, they are understood as the rotation that we need to operate on the template in order to align it with the particle. This is also the convention in AV3. XMIPP uses the opposite convention.

@@ Line 9: / Line 9: @@
 #;the particle rotates clockwise about its new z axis.
 In the context of subtomogram averaging, they are understood as the rotation that we need to operate on the template in order to align it with the particle.
-Note that the inverse rotation would be parametrized <tt>-[narot, tilt, tdrot]</tt>, i.e., applying the inverse of each original rotation, in reversed order.
+Note that the inverse rotation would be parametrized as  <tt>-[narot, tilt, tdrot]</tt>, i.e., applying the inverse of each original rotation, in reversed order.
 {{Technicality}}
@@ Line 18: / Line 18: @@
 adequate than the other depending on the situation, and it is frequently useful to switch between the representations of the same object. Some of the command
-line utilities intended for these tasks are dynamo_rigid, dynamo_rigid_apply, dynamo_rigid_compose, dynamo_rigid_inverse.
+line utilities intended for these tasks are <tt>dynamo_rigid</tt>, <tt>dynamo_rigid_apply</tt>, <tt>dynamo_rigid_compose</tt>, <tt>dynamo_rigid_inverse</tt>.

← Older revision		Revision as of 16:07, 28 April 2016
Line 1:		Line 1:
		+	[[Category:Angles]]
		+
	''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read with the colourful names <tt>[tdrot, tilt, narot]</tt>, with the following visual depiction: imagine a particle with an axis aligned with the z direction. The action of the triplet of angles of this particle would be like this.		''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read with the colourful names <tt>[tdrot, tilt, narot]</tt>, with the following visual depiction: imagine a particle with an axis aligned with the z direction. The action of the triplet of angles of this particle would be like this.
	# tdrot (for '''t'''ilt '''d'''irection gets '''rot'''ated)		# tdrot (for '''t'''ilt '''d'''irection gets '''rot'''ated)

@@ Line 1: / Line 1: @@
-''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read as <tt>[tdrot, tilt, narot]</tt>, with the following visual depiction: imagine a particle with an axis aligned with the z direction. The action of the triplet of angles of this particle would be like this.
+''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read with the colourful names  <tt>[tdrot, tilt, narot]</tt>, with the following visual depiction: imagine a particle with an axis aligned with the z direction. The action of the triplet of angles of this particle would be like this.
 # tdrot (for  '''t'''ilt '''d'''irection gets '''rot'''ated)
 #;The particle rotates clockwise about its z axis.
 # tilt
 #;the particle rotates clockwise about its new x axis.
-# narot (for   '''N'''ew'''A'''zymuthal '''rot'''ation)
+# narot (for   '''n'''ew '''a'''zymuthal '''rot'''ation)
 #;the particle rotates clockwise about its new z axis.
 In the context of subtomogram averaging, they are understood as the rotation that we need to operate on the template in order to align it with the particle.

@@ Line 1: / Line 1: @@
-''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read as [tdrot, tilt, narot], with the following visual depiction: imagine a particle with an axis aligned with the z direction. The action of the triplet of angles of this particle would be like this.
+''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read as <tt>[tdrot, tilt, narot]</tt>, with the following visual depiction: imagine a particle with an axis aligned with the z direction. The action of the triplet of angles of this particle would be like this.
-# tdrot (for rotation of tilt direction)
+# tdrot (for  '''t'''ilt '''d'''irection gets '''rot'''ated)
 #;The particle rotates clockwise about its z axis.
 # tilt
 #;the particle rotates clockwise about its new x axis.
-# narot (for '''rot'''ation about '''N'''ew'''A'''xis)
+# narot (for   '''N'''ew'''A'''zymuthal '''rot'''ation)
 #;the particle rotates clockwise about its new z axis.
 In the context of subtomogram averaging, they are understood as the rotation that we need to operate on the template in order to align it with the particle.
 {{Technicality}}
 Subtomogram averaging requires continuously the combined application of shifts and rotations onto different type of objects.
 Dynamo includes several low level commands that allow the application of this rigid body transformations to different entities: volumes, points or tables. These transformations are defined as a the sequential application of a rotation and a translation (marked with ‘type’ rotshift), or a translation of a rotation (marked with ‘type’ shiftrot). Dynamo handles them explicitely by “rigid body” structures created with dynamo_rigid.

@@ Line 4: / Line 4: @@
 # tilt
 #;the particle rotates clockwise about its new x axis.
-# narot (for rotation about NewAxis)
+# narot (for '''rot'''ation about '''N'''ew'''A'''xis)
 #;the particle rotates clockwise about its new z axis.
 In the context of subtomogram averaging, they are understood as the rotation that we need to operate on the template in order to align it with the particle.

← Older revision		Revision as of 15:55, 28 April 2016
Line 7:		Line 7:
	#;the particle rotates clockwise about its new z axis.		#;the particle rotates clockwise about its new z axis.
	In the context of subtomogram averaging, they are understood as the rotation that we need to operate on the template in order to align it with the particle. This is also the convention in AV3. XMIPP uses the opposite convention.		In the context of subtomogram averaging, they are understood as the rotation that we need to operate on the template in order to align it with the particle. This is also the convention in AV3. XMIPP uses the opposite convention.
		+
		+	{{Technicality}}
		+	Subtomogram averaging requires continuously the combined application of shifts and rotations onto different type of objects.
		+	Dynamo includes several low level commands that allow the application of this rigid body transformations to different entities: volumes, points or tables. These transformations are defined as a the sequential application of a rotation and a translation (marked with ‘type’ rotshift), or a translation of a rotation (marked with ‘type’ shiftrot). Dynamo handles them explicitely by “rigid body” structures created with dynamo_rigid.
		+	The same geometric transformation can be represented equivalently with a ‘rotshift’ or a ‘shiftrot’, that is, both forms are different parameterizations of the same operation. Each of these different parameterizations will be more
		+	21
		+	adequate than the other depending on the situation, and it is frequently useful to switch between the representations of the same object. Some of the command
		+	line utilities intended for these tasks are dynamo_rigid, dynamo_rigid_apply, dynamo_rigid_compose, dynamo_rigid_inverse.