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--- visual3d:documentation:kinematics_and_kinetics:external_forces:force_platforms [2024/12/02 15:35] – [Force Platforms] wikisysop
+++ visual3d:documentation:kinematics_and_kinetics:external_forces:force_platforms [2024/12/02 15:43] (current) – wikisysop
@@ Line 66: / Line 66: @@
   - [[Visual3D:Documentation:Pipeline:Force_Commands:FP_CHANNELS|FP_CHANNELS]] - The channel numbers of the ANALOG signals recorded from the Force Platform. These channel numbers vary according to the [[Visual3D:Documentation:Pipeline:Force_Commands:FP_TYPE|Force Platform type]].
   - [[Visual3D:Documentation:Pipeline:Force_Commands:FP_CORNERS|FP_CORNERS]] - The locations of the Force Platform's corners in the Lab's coordinate system, specified in units consistent with the POINT data. The order of the corner locations is specified by the quadrant numbers in the force platform coordinate system: (+x,+y), (-x, +y), (-x, -y), ( +x, -y).
+Force platform data is perhaps the most confusing aspect of the C3D file format. All of the force platform parameters required for the type of force platform being used must be defined correctly. Some of the parameters are specified by the Force Platform manufacturer; these values are provided in the Manufacturer's User Manual. Note that some of these parameters can not be transferred directly in the C3D file.
+**Important:** The C3D format assumes consistency between units throughout the file. If the motion capture data has been collected in millimeters, then all distance measures in the file must be consistent. This means that the corner locations and Force Platform ORIGIN values must be in millimeters and the moment channels of the force platform must be expressed in Newton-millimeters.
+==== C3D Channels ====
+The number of channels associated with a force platform and the information carried by each channel varies with the force platform manufacturer (usually represented as a force platform [[Visual3D:Documentation:Pipeline:Force_Commands:FP_TYPE|TYPE]] in the C3D format). The specifics of each force platform type can be found on the associated page:
+| [[visual3d:documentation:pipeline:force_commands:fp_type_1|FP_TYPE 1]] | [[visual3d:documentation:pipeline:force_commands:fp_type_2|FP_TYPE 2]] | [[visual3d:documentation:pipeline:force_commands:fp_type_3|FP_TYPE 3]] | [[visual3d:documentation:pipeline:force_commands:fp_type_4|FP_TYPE 4]] | [[visual3d:documentation:pipeline:force_commands:fp_type_5|FP_TYPE 5]] | [[visual3d:documentation:pipeline:force_commands:fp_type_6|FP_TYPE 6]] | [[visual3d:documentation:pipeline:force_commands:fp_type_7|FP_TYPE 7]] |
+==== Computing Force, COP, and Free Moment ====
+The force signals of interest for our kinetic analysis are the [[visual3d:documentation:visual3d_signal_types:force_data_type|Force]], [[visual3d:documentation:visual3d_signal_types:cofp_data_type|Centre of Pressure]], and [[visual3d:documentation:visual3d_signal_types:freemoment_data_type|Free Moment]] signals. This figure depicts a Kistler force platform, but the diagrammed force vector is consistent for all force platforms manufacturers.
+{{:fp_type6.jpg}}
+Although each force platform type records different information in its different channels, the process for converting the original recorded analog signals into the desired force signals follows the same common steps:
+  - Compute baselines
+  - Subtract baselines from original signals
+  - Pre-multiply by the calibration matrix (if applicable)
+  - Calculate the Ground Reaction Force
+  - Apply a threshold
+  - Transform data to the Laboratory Coordinate System
+== Compute Baselines ==
+The [[Visual3D:Documentation:Pipeline:Force_Commands:FP_ZERO|FP_ZERO]] C3D parameter defines the range of frames used to calculate an average baseline value for each ANALOG signal.
+**Note:** most of the manufacturers arbitrarily set the range to be the first 10 frames of the trial. If the force platform is loaded during these first 10 frames, then **the ground reaction force signals will be incorrect**. If this is the case, then the user should either set the frames to 0,0 so that no baseline is subtracted, or should select frames in which the force platform is unloaded.
+== Subtract Baselines ==
+The baseline value for each ANALOG channel represents the value of that channel's signal under no load. It is subtracted from that ANALOG channel's original signal at every frame to produce a tared signal. This does not affect the original ANALOG signals as seen in the data tree since this processing takes place when the Force Platform signals are computed.
+<code>
+[Tared Analog] = [Original Analog]-[Baseline]
+</code>
+== Pre-multiply by the CalMatrix ==
+Several of the force platform types have a Calibration Matrix (Inverse Sensitivity Matrix) that is provided by the manufacturer. Visual3D pre-multiplies the values reported by the analog channels with this calibration matrix in order to convert the recorded analog signals from volts to the appropriate Force and/or Moment signal units.
+For example, for a type 4 force platform:
+<code>
+[Converted Analog] = [Fx, Fy, Fz, Mx, My, Mz]= [CalMatrix][Tared Analog]
+</code>
+**Note:** These signals are intermediate signals that are then used to compute the Ground Reaction Force.
+== Calculate the Ground Reaction Force ==
+The Ground Reaction Force is represented by 3 vectors: Force, Centre of Pressure (COFP), and Free Moment. Each is calculated from the the appropriate analog signals. Different force platform types require different calculations for these Ground Reaction Force vectors.
+For a Type 4 force platform, the force vector is equal to the intermediate force signals from the previous step.
+<code>
+Force[X] = Fx
+Force[Y] = Fy
+Force[Z] = Fz
+</code>
+For a Type 4 force platform, the centre of pressure vector is computed as follows:
+<code>
+COP[X] = (ORIGIN[Z]*Force[X] - My) / Force[Z]
+COP[Y] = (Mx + ORIGIN[Z]*Force[Y]) / Force[Z]
+COP[Z] = ORIGIN[Z]
+</code>
+**Note:** The [[Visual3D:Documentation:Pipeline:Force_Commands:FP_ORIGIN|ORIGIN]] is necessary for this calculation.
+For a Type 4 force platform, the free moment vector is computed as follows:
+<code>
+FreeMoment[X] = 0
+FreeMoment[Y] = 0
+FreeMoment[Z] = Mz - ( COP[X]*Force[Y] - COP[Y]*Force[X] )
+</code>
+== Apply the Threshold ==
+The Visual3D Force Menu contains an option to set a [[Visual3D:Documentation:Kinematics_and_Kinetics:External_Forces:Force_Platforms#Minimum_Force|threshold for force platform/structure data]]. Any computed signal value that is less than this threshold is assumed to be noise and is set to 0.
+== Transform data to the Laboratory Coordinate System ==
+At this point the signals have been computed in the Force Platform Coordinate system and must be transformed into the Laboratory Coordinate System to give them meaning relative to the motion capture data.
+As long as the force platform is accurately located within the lab, for example by using the [[caltester:caltester_mode_overview|CalTester]], this is accomplished by a straightforward [[Visual3D:Documentation:Kinematics_and_Kinetics:External_Forces:Transform_from_FCS_to_LCS|translation]] from the force platform coordinate system to the lab coordinate system.
 ==== Learn More ====