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eyes:coordinatesandconventions [2017/06/08 10:38] jschlie1 |
eyes:coordinatesandconventions [2017/06/08 10:47] jschlie1 |
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- | ======The CowEyes Coordinate System====== | + | ====== The CowEyes Coordinate System====== |
+ | ===== General definitions ===== | ||
+ | The cow coordinate system is a right handed coordinate system, where - while looking on the screen - the x-axis points to the right, the y-axis points downwards and the z-axis point into the screen away from the user. | ||
- | The cow coordinate system is a right handed coordinate system, where looking on the screen the x-axis points to the right, the y-axis points down and the z axis point into the screen. | + | {{:eyes:coordinatesystem.png}} |
- | {{ :eyes:coordinatesystem.png?direct |}} | + | The rotation of an object is defined as a counter clockwise rotation. However, since the coordinate system is viewed from the back, the rotation appears as what is normally known as clockwise. |
- | The rotation of an object is defined as a counterclockwise rotation. However since the coordinate system is viewed from the back the rotation appears as what is normally known as clockwise. | + | {{:eyes:counterclockwise.png}} |
- | {{ :eyes:counterclockwise.png?direct |}} | ||
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- | ====== Rotation Conventions and Coordinate system ====== | ||
===== Coordinate System with Rotation ===== | ===== Coordinate System with Rotation ===== | ||
- | {{:coweyes:coordinatesystemrotation.png|}} | + | {{:eyes:coordinatesystemrotation.png}} |
Shown is the Coordinate system with rotation directions. | Shown is the Coordinate system with rotation directions. | ||
===== Image Placement ===== | ===== Image Placement ===== | ||
- | {{:coweyes:imagecoordinatesystem.png|}} | + | {{:eyes:imagecoordinatesystem.png}} |
Shown is the how an image is placed into the coordinate system.\\ | Shown is the how an image is placed into the coordinate system.\\ | ||
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The rotation center is marked in the middle of the image. | The rotation center is marked in the middle of the image. | ||
- | ===== Definition of Coordinate Axes: ===== | + | ===== Definition of Coordinate Axes ===== |
* X-Axis (Axis of abscissas) from left to right | * X-Axis (Axis of abscissas) from left to right | ||
* Y-Axis (Axis of ordinates) from top to bottom | * Y-Axis (Axis of ordinates) from top to bottom | ||
* Z-Axis (Axis of applicants) from front to back | * Z-Axis (Axis of applicants) from front to back | ||
- | ===== Euler Convention: ===== | + | ===== Euler Convention ===== |
**ZXZs** | **ZXZs** | ||
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- Gamma (γ) rotation around static global Z-Axis | - Gamma (γ) rotation around static global Z-Axis | ||
- | ===== Rotation: ===== | + | ===== Rotation ===== |
* Rotations use the right hand thumb rule. | * Rotations use the right hand thumb rule. | ||
* If right thumb points along an axis, then curved fingers point in the positive direction of rotation. | * If right thumb points along an axis, then curved fingers point in the positive direction of rotation. | ||
* The rotation center is the center of the image. | * The rotation center is the center of the image. |