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eyes:coordinatesandconventions [2017/06/08 10:43] jschlie1 |
eyes:coordinatesandconventions [2017/06/08 10:47] (current) 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 looking on the screen the x-axis points to the right, the y-axis points down and the z axis point into the screen. | + | 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. |
| {{:eyes:coordinatesystem.png}} | {{:eyes:coordinatesystem.png}} | ||
| - | 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. | + | 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. |
| {{:eyes:counterclockwise.png}} | {{:eyes:counterclockwise.png}} | ||
| - | + | ===== Coordinate System with Rotation ===== | |
| - | ===== Rotation Conventions and Coordinate system ===== | + | |
| - | ==== Coordinate System with Rotation ==== | + | |
| {{:eyes: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 ===== |
| {{:eyes:imagecoordinatesystem.png}} | {{:eyes:imagecoordinatesystem.png}} | ||
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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. | ||