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visual3d:documentation:pipeline:expressions:intersection_functions [2025/01/24 19:02] – wikisysopvisual3d:documentation:pipeline:expressions:intersection_functions [2025/01/27 20:25] (current) – wikisysop
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   * The resulting bounding box is aligned with the Laboratory Coordinate System. The bounding box signal is a 24 column signal containing the X,Y,Z position of 8 vertices.   * The resulting bounding box is aligned with the Laboratory Coordinate System. The bounding box signal is a 24 column signal containing the X,Y,Z position of 8 vertices.
  
-Example: Create a 4 targets representing the vertices of the box, and create a bounding box around these targets that will be tracked across an event sequence.+Example: Create 4 arbitrary targets, and create a bounding box around these targets that will be tracked across an event sequence.
  
 <code> <code>
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 ==== Base_Of_Support ==== ==== Base_Of_Support ====
 {{ visual3D:documentation:pipeline:expressions:BOSDiagram.png?300}} {{ visual3D:documentation:pipeline:expressions:BOSDiagram.png?300}}
-**Bounding_Box**(Signal,Plane)+**Base_Of_Support**(Signal,Plane)
  
-  * Construct a 2D plane projected from a Bounding Box signal.+  * Construct a 2D base of support projected onto a plane from a Bounding Box.
   * The signal input is the [[https://en.wikipedia.org/wiki/Minimum_bounding_box|bounding box]] of the point set, a 24 column signal containing the X,Y,Z position of 8 vertices.   * The signal input is the [[https://en.wikipedia.org/wiki/Minimum_bounding_box|bounding box]] of the point set, a 24 column signal containing the X,Y,Z position of 8 vertices.
-  * The Plane parameter is the plane to project the Box onto.+  * The [[visual3d:documentation:pipeline:expressions:least_squares_fitting_of_data#best_fit_plane|Plane]] parameter is the plane to project the Box onto.
   * The resulting base of support is a 2D projection of the signal onto the plane. The base of support is a 12 column signal containing the X,Y,Z position of 4 vertices (C1-C4 in the image to the right).   * The resulting base of support is a 2D projection of the signal onto the plane. The base of support is a 12 column signal containing the X,Y,Z position of 4 vertices (C1-C4 in the image to the right).
 +
 +Example: Create a bounding box around 4 targets between events START and END, and project that box onto the ground using the Base_Of_Support command. 
 +<code>
 +! Create a bounding box using 4 targets V1,V2,V3,V4 to be tracked between events START and END
 +Evaluate_Expression
 +/EXPRESSION=BOUNDING_BOX(CURRENT_SIGNAL,1)
 +/SIGNAL_TYPES=EVENT_LABEL+EVENT_LABEL+TARGET+TARGET+TARGET+TARGET
 +/SIGNAL_FOLDER=ORIGINAL
 +/SIGNAL_NAMES=START+END+V1+V2+V3+V4
 +! /RESULT_TYPES=DERIVED
 +/RESULT_FOLDERS=BOUNDING_BOX
 +/RESULT_NAME=BOX
 +! /APPLY_AS_SUFFIX_TO_SIGNAL_NAME=FALSE
 +;
 +
 +! Project the bounding box onto the X-Y plane of the laboratory
 +Evaluate_Expression
 +/EXPRESSION=BASE_OF_SUPPORT(CURRENT_SIGNAL,VECTOR(0,0,1,0))
 +/SIGNAL_TYPES=DERIVED
 +/SIGNAL_FOLDER=BOUNDING_BOX
 +/SIGNAL_NAMES=BOX
 +! /SIGNAL_COMPONENTS=
 +! /RESULT_TYPES=DERIVED
 +/RESULT_FOLDERS=BASE_OF_SUPPORT
 +/RESULT_NAME=BOS
 +! /APPLY_AS_SUFFIX_TO_SIGNAL_NAME=FALSE
 +;
 +
 +! Create targets of the resulting Base of Support signal for visualization 
 +Create_Targets_For_Base_Of_Support
 +/SIGNAL_NAMES=BOS
 +/SIGNAL_DESCRIPTION=BOS
 +/EXPRESSION=DERIVED::BASE_OF_SUPPORT::BOS
 +/NUM_TARGETS=8
 +;
 +</code>
 +
 +Example: Projecting a bounding box onto a sloped plane.
 +
 +<code>
 +
 +!Creating 4 vectors defining a corners of plane (such as a sloped floor)
 +Metric_Explicit
 +/RESULT_METRIC_FOLDER=FLOOR
 +/RESULT_METRIC_NAME=F1
 +/METRIC_VALUE=VECTOR(0,0,0)
 +;
 +
 +Metric_Explicit
 +/RESULT_METRIC_FOLDER=FLOOR
 +/RESULT_METRIC_NAME=F2
 +/METRIC_VALUE=VECTOR(0.2,0,0)
 +;
 +
 +Metric_Explicit
 +/RESULT_METRIC_FOLDER=FLOOR
 +/RESULT_METRIC_NAME=F3
 +/METRIC_VALUE=VECTOR(0,0.2,0.03)
 +;
 +
 +Metric_Explicit
 +/RESULT_METRIC_FOLDER=FLOOR
 +/RESULT_METRIC_NAME=F4
 +/METRIC_VALUE=VECTOR(0.2,0.2,0.03)
 +;
 +
 +! Creating a best fit plane using the 4 vectors defined previously
 +Evaluate_Expression
 +/EXPRESSION=BEST_FIT_PLANE(CURRENT_SIGNAL)
 +/SIGNAL_TYPES=METRIC
 +/SIGNAL_FOLDER=FLOOR
 + /SIGNAL_NAMES=F1+F2+F3+F4
 +! /SIGNAL_COMPONENTS=
 + /RESULT_TYPES=METRIC
 +/RESULT_FOLDERS=FLOOR
 +/RESULT_NAME=PLANE
 +! /APPLY_AS_SUFFIX_TO_SIGNAL_NAME=FALSE
 +;
 +
 +! Projecting a bounding box onto the plane to create a base of support
 +Evaluate_Expression
 +/EXPRESSION=BASE_OF_SUPPORT(CURRENT_SIGNAL,METRIC::FLOOR::PLANE)
 +/SIGNAL_TYPES=DERIVED
 +/SIGNAL_FOLDER=BOUNDING_BOX
 +/SIGNAL_NAMES=BOX
 +! /SIGNAL_COMPONENTS=
 +! /RESULT_TYPES=DERIVED
 +/RESULT_FOLDERS=BASE_OF_SUPPORT
 +/RESULT_NAME=BOS2
 +! /APPLY_AS_SUFFIX_TO_SIGNAL_NAME=FALSE
 +;
 +
 +! Highlighting the base of support with targets
 +Create_Targets_For_Base_Of_Support
 +/SIGNAL_NAMES=BOS
 +/SIGNAL_DESCRIPTION=BOS
 +/EXPRESSION=DERIVED::BASE_OF_SUPPORT::BOS2
 +/NUM_TARGETS=8
 +;
 +</code>
 +
 +==== Extrapolated_COG ====
 +**EXTRAPOLATED_COG**(Signal,Signal,Model Metric)
 +
 +  * Computes the extrapolated COG or the [[https://www.sciencedirect.com/science/article/abs/pii/S0021929004001642?via%3Dihub|'extrapolated center of mass position']] using the following equation:
 +  * xCoM = CoM + vCoM/sqrt(g/l)
 +  * Expression requires three inputs:
 +    * The first signal input is considered as the CoM position,
 +    * second input is considered the velocity of the CoM,
 +    * and the third input is the leg length of the model.
 +
 +Example: Deriving the extrapolated CoM
 +<code>
 +Evaluate_Expression
 +/EXPRESSION=EXTRAPOLATED_COG(CURRENT_SIGNAL,MODEL::METRIC::LEG_LENGTH)
 +/SIGNAL_TYPES=LINK_MODEL_BASED+LINK_MODEL_BASED
 +/SIGNAL_FOLDER=ORIGINAL+ORIGINAL
 +/SIGNAL_NAMES=COG+COG_VELOCITY
 +! /RESULT_TYPES=DERIVED
 +/RESULT_FOLDERS=BASE_OF_SUPPORT
 +/RESULT_NAME=XCOG
 +! /APPLY_AS_SUFFIX_TO_SIGNAL_NAME=FALSE
 +;
 +</code>
 +==== Margin_Of_Stability ====
 +
 +
visual3d/documentation/pipeline/expressions/intersection_functions.1737745353.txt.gz · Last modified: 2025/01/24 19:02 by wikisysop