@@ -23,6 +23,8 @@ For a screen you probably want (x) coordinates to go from negative on the left
to positive on the right and (z) depth to be negative under the screen and
positive in front of it, toward the face of the user.
+??? whatabout y-axis orientation - bottop-up or top-down?
+
A sensor can be mounted in any angle along the axes relative to the frame of
reference. This means that the sensor may be flipped upside-down, left-right,
or tilted at any angle relative to the frame of reference.
@@ -46,6 +48,20 @@ Device-to-world examples for some three-dimensional sensor types:
is held with its screen flat on the planets surface and 0 on the other axes,
as the gravity vector is projected 1:1 onto the sensors (z)-axis.
+
+ (---------)
+ ! ! y: +g
+ ! ! ^
+ ! ! !
+ ! !
+ ! ! x; -g <- z: +g -> x: +g
+ ! 1 2 3 !
+ ! 4 5 6 ! !
+ ! 7 8 9 ! v
+ ! * 0 # ! y: -g
+ (---------)
+
+
- Magnetometers (compasses) have their world frame of reference relative to the
geomagnetic field. The system orientation vis-a-vis the world is defined with
respect to the local earth geomagnetic reference frame where (y) is in the
@@ -53,6 +69,22 @@ Device-to-world examples for some three-dimensional sensor types:
perpendicular to the North axis and positive towards the East and (z) is
perpendicular to the ground plane and positive upwards.
+
+ ^^^ North: y > 0
+
+ (---------)
+ ! !
+ ! !
+ ! !
+ ! ! >
+ ! ! > North: x > 0
+ ! 1 2 3 ! >
+ ! 4 5 6 !
+ ! 7 8 9 !
+ ! * 0 # !
+ (---------)
+
+
- Gyroscopes detects the movement relative the device itself. The angular
velocity is defined as orthogonal to the plane of rotation, so if you put the
device on a flat surface and spin it around the z axis (such as rotating a
@@ -60,6 +92,20 @@ Device-to-world examples for some three-dimensional sensor types:
along the (z) axis if rotated clockwise, and a positive value if rotated
counter-clockwise according to the right-hand rule.
+
+ (---------) y > 0
+ ! ! v---\
+ ! !
+ ! !
+ ! ! <--\
+ ! ! ! z > 0
+ ! 1 2 3 ! --/
+ ! 4 5 6 !
+ ! 7 8 9 !
+ ! * 0 # !
+ (---------)
+
+
So unless the sensor is ideally mounted, we need a means to indicate the
relative orientation of any given sensor of this type with respect to the
frame of reference.
@@ -76,9 +122,15 @@ https://en.wikipedia.org/wiki/Rotation_matrix
The mounting matrix has the layout:
- (x0, y0, z0)
- (x1, y1, z1)
- (x2, y2, z3)
+ (mxx, myx, mzx)
+ (mxy, myy, mzy)
+ (mxz, myz, mzz)
+
+Values are intended to be multiplied as:
+
+ x' = mxx * x + myx * y + mzx * z
+ y' = mxy * x + myy * y + mzy * z
+ z' = mxz * x + myz * y + mzz * z
And it is represented as an array of strings containing the real values for
producing the transformation matrix. The real values use a decimal point and
@@ -106,3 +158,5 @@ upside-down:
mount-matrix = "0.998", "0.054", "0",
"-0.054", "0.998", "0",
"0", "0", "1";
+
+??? does not match "180 degrees" - factors indicate ca. 3 degrees compensation
This adds some clarifications and drawings to make the orientation of the X/Y/Z axis more clear and better prescribe how the values of the matrix are intended to be used. Signed-off-by: H. Nikolaus Schaller <hns@goldelico.com> --- .../devicetree/bindings/iio/mount-matrix.txt | 60 ++++++++++++++++++- 1 file changed, 57 insertions(+), 3 deletions(-)