320 lines (257 with data), 16.8 kB
// Scaling law.
// Main.HumanModel.Scaling
AnyFolder MassScaling = {
AnyFolder Pelvis = { AnyVar MassScale = ...Anthropometrics.SegmentMasses.Pelvis / ..StandardParameters.Pelvis.Mass; };
AnyFolder Head = { AnyVar MassScale = (...Anthropometrics.SegmentMasses.Head) / (..StandardParameters.Head.Mass); };
AnyFolder Cervical = { AnyVar MassScale = .Head.MassScale;};
AnyFolder Thorax = { AnyVar MassScale = ( ...Anthropometrics.SegmentMasses.Thorax) / (..StandardParameters.Trunk.Mass ); }; //Ratio of mass of thorax plus lumbar mass
AnyFolder Lumbar = { AnyVar MassScale = (...Anthropometrics.SegmentMasses.Lumbar) / (..StandardParameters.Lumbar.Mass); };//Ratio of mass of lumbar mass
AnyFolder Right =
{
AnyFolder Clavicula = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Right.Shoulder / (...StandardParameters.Clavicula.Mass + ...StandardParameters.Scapula.Mass); };
AnyFolder Scapula = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Right.Shoulder / (...StandardParameters.Clavicula.Mass + ...StandardParameters.Scapula.Mass); };
AnyFolder Humerus = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Right.UpperArm / ...StandardParameters.Humerus.Mass; };
AnyFolder Ulna = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Right.LowerArm / (...StandardParameters.Ulna.Mass+ ...StandardParameters.Radius.Mass); };
AnyFolder Radius = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Right.LowerArm / (...StandardParameters.Ulna.Mass+ ...StandardParameters.Radius.Mass); };
AnyFolder Hand = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Right.Hand / ...StandardParameters.Hand.Mass; };
AnyFolder Foot = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Right.Foot / ...StandardParameters.Right.Foot.Mass; };
AnyFolder Talus = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Right.Talus / ...StandardParameters.Right.Talus.Mass; };
AnyFolder Shank = { AnyVar MassScale = (....Anthropometrics.SegmentMasses.Right.Shank) / (...StandardParameters.Right.Shank.Mass+...StandardParameters.Right.Patella.Mass); };
AnyFolder Thigh = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Right.Thigh / ...StandardParameters.Right.Thigh.Mass; };
};
AnyFolder Left =
{
AnyFolder Clavicula = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Left.Shoulder / (...StandardParameters.Clavicula.Mass + ...StandardParameters.Scapula.Mass); };
AnyFolder Scapula = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Left.Shoulder / (...StandardParameters.Clavicula.Mass + ...StandardParameters.Scapula.Mass); };
AnyFolder Humerus = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Left.UpperArm / ...StandardParameters.Humerus.Mass; };
AnyFolder Ulna = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Left.LowerArm / (...StandardParameters.Ulna.Mass+ ...StandardParameters.Radius.Mass); };
AnyFolder Radius = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Left.LowerArm / (...StandardParameters.Ulna.Mass+ ...StandardParameters.Radius.Mass); };
AnyFolder Hand = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Left.Hand / ...StandardParameters.Hand.Mass; };
AnyFolder Foot = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Left.Foot / ...StandardParameters.Left.Foot.Mass; };
AnyFolder Talus = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Left.Talus / ...StandardParameters.Left.Talus.Mass; };
AnyFolder Shank = { AnyVar MassScale = (....Anthropometrics.SegmentMasses.Left.Shank) / (...StandardParameters.Right.Shank.Mass+...StandardParameters.Left.Patella.Mass); };
AnyFolder Thigh = { AnyVar MassScale = ....Anthropometrics.SegmentMasses.Left.Thigh / ...StandardParameters.Left.Thigh.Mass; };
};
};
AnyFolder StrengthScaling = {
AnyVar p = (2/3); //Power
AnyFolder Pelvis = { AnyVar StrengthScale = (...Anthropometrics.SegmentMasses.Pelvis/ ..StandardParameters.Pelvis.Mass)^.p; };
AnyFolder Spine = { AnyVar StrengthScale = ((...Anthropometrics.SegmentMasses.Thorax + ...Anthropometrics.SegmentMasses.Lumbar) / (..StandardParameters.Trunk.Mass + ..StandardParameters.Lumbar.Mass))^.p; };
AnyFolder Right =
{
AnyFolder Humerus = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Right.UpperArm / ...StandardParameters.Humerus.Mass)^..p; };
AnyFolder Ulna = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Right.LowerArm / (2*...StandardParameters.Ulna.Mass) )^..p; };
AnyFolder Hand = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Right.Hand / ...StandardParameters.Hand.Mass)^..p; };
AnyFolder Shank = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Right.Shank / ...StandardParameters.Right.Shank.Mass)^..p; };
AnyFolder Thigh = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Right.Thigh / ...StandardParameters.Right.Thigh.Mass)^..p; };
AnyFolder Foot = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Right.Foot / ...StandardParameters.Right.Foot.Mass)^..p; };
};
AnyFolder Left =
{
AnyFolder Humerus = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Left.UpperArm / ...StandardParameters.Humerus.Mass)^..p; };
AnyFolder Ulna = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Left.LowerArm / (2*...StandardParameters.Ulna.Mass) )^..p; };
AnyFolder Hand = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Left.Hand / ...StandardParameters.Hand.Mass)^..p; };
AnyFolder Shank = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Left.Shank / ...StandardParameters.Left.Shank.Mass)^..p; };
AnyFolder Thigh = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Left.Thigh / ...StandardParameters.Left.Thigh.Mass)^..p; };
AnyFolder Foot = { AnyVar StrengthScale = (....Anthropometrics.SegmentMasses.Left.Foot / ...StandardParameters.Left.Foot.Mass)^..p; };
};
};
AnyFolder FiberLengthScaling = {
AnyFolder Pelvis = { AnyVar FiberLengthScale = ...Anthropometrics.SegmentDimensions.PelvisWidth / ..StandardParameters.Pelvis.Width; };
AnyFolder Right =
{
AnyFolder Shank = { AnyVar FiberLengthScale = ....Anthropometrics.SegmentDimensions.Right.ShankLength / ...StandardParameters.Right.Shank.Length; };
AnyFolder Thigh = { AnyVar FiberLengthScale = ....Anthropometrics.SegmentDimensions.Right.ThighLength / ...StandardParameters.Right.Thigh.Length; };
AnyFolder Foot = { AnyVar FiberLengthScale = ....Anthropometrics.SegmentDimensions.Right.FootLength / ...StandardParameters.Right.Foot.Length; };
};
AnyFolder Left =
{
AnyFolder Shank = { AnyVar FiberLengthScale = ....Anthropometrics.SegmentDimensions.Left.ShankLength / ...StandardParameters.Left.Shank.Length; };
AnyFolder Thigh = { AnyVar FiberLengthScale = ....Anthropometrics.SegmentDimensions.Left.ThighLength / ...StandardParameters.Left.Thigh.Length; };
AnyFolder Foot = { AnyVar FiberLengthScale = ....Anthropometrics.SegmentDimensions.Left.FootLength / ...StandardParameters.Left.Foot.Length; };
};
};
AnyFolder GeometricalScaling = {
AnyFolder Right ={
AnyFolder Clavicula = {
AnyFunTransform3DLin ScaleFunction = {
AnyMat33 ARel= { {-0.280836, 0.188095, -0.941144}, {-0.004752, 0.980323, 0.197343}, { 0.959744, 0.059893, -0.274416}}';
ScaleMat = ARel*...Thorax.ScaleFunction.ScaleMat*(ARel');
Offset = {0,0,0}*ARel';
};
};
AnyFolder Scapula = {
AnyFunTransform3DLin ScaleFunction = {
AnyMat33 ARel ={{0.561294, -0.097357, -0.821870}, {0.151325, 0.988389, -0.013736}, {0.813664, -0.116660, 0.569509}}';
ScaleMat = ARel*...Thorax.ScaleFunction.ScaleMat*(ARel');
Offset = {0,0,0}*ARel';
};
};
AnyFolder Humerus = {
AnyVar GeomScale = (....Anthropometrics.SegmentDimensions.Right.UpperArmLength / ...StandardParameters.Humerus.Length);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat ={{.GeomScale,0,0},{0,.GeomScale,0},{0,0,.GeomScale}};
Offset = {0,0,0};
};
};
AnyFolder Ulna = {
AnyVar GeomScale = (....Anthropometrics.SegmentDimensions.Right.LowerArmLength / ...StandardParameters.Ulna.Length);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat ={{.GeomScale,0,0},{0,.GeomScale,0},{0,0,.GeomScale}};
Offset = {0,0,0};
};
};
AnyFolder Radius = {
AnyFunTransform3DLin ScaleFunction = {
//This Arel is used for mapping the scaling of ulna into the radius coordinate system
//which is rotated, Arel has been found for a neutral position
AnyMat33 ARel = {{-0.145873, -0.989303, -0.000001}, {0.989303, -0.145873, 0.000001}, {-0.000001, -0.000000, 1.000000}};
AnyMat33 ScaleXYZ = ..Ulna.ScaleFunction.ScaleMat;
ScaleMat = ARel'*ScaleXYZ*ARel;
Offset = {0,0,0}*ARel; };
};
AnyFolder Hand = {
AnyVar HandLength = ....Anthropometrics.SegmentDimensions.Right.HandLength;
AnyVar HandBreadth = ....Anthropometrics.SegmentDimensions.Right.HandBreadth;
AnyFunTransform3DLin ScaleFunction = {
AnyVar BreadthScale = .HandBreadth/....StandardParameters.Hand.HandBreadth;
AnyVar LengthScale = .HandLength/....StandardParameters.Hand.HandLength;
ScaleMat ={{LengthScale,0,0},{0,BreadthScale,0},{0,0,BreadthScale}};
Offset = {0,0,0};
};
};
AnyFolder Foot = {
AnyVar GeomScale = (....Anthropometrics.SegmentDimensions.Right.FootLength / ...StandardParameters.Right.Foot.Length);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat ={{.GeomScale,0,0},{0,.GeomScale,0},{0,0,.GeomScale}};
Offset = {0,0,0};
};
};
AnyFolder Shank = {
AnyVar GeomScale = (....Anthropometrics.SegmentDimensions.Right.ShankLength / ...StandardParameters.Right.Shank.Length);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat ={{.GeomScale,0,0},{0,.GeomScale,0},{0,0,.GeomScale}};
Offset = {0,0,0};
};
};
AnyFolder Thigh = {
AnyVar GeomScale = (....Anthropometrics.SegmentDimensions.Right.ThighLength / ...StandardParameters.Right.Thigh.Length);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat ={{.GeomScale,0,0},{0,.GeomScale,0},{0,0,.GeomScale}};
Offset = {0,0,0};
};
};
// Talus uses the scaling function of the Foot segment
AnyFolder &Talus = Foot;
// Patella uses the scaling function of the Thigh segment.
AnyFolder &Patella = Thigh;
};//Right
AnyFolder Left ={
AnyFolder Clavicula = {
AnyFunTransform3DLin ScaleFunction = {
AnyMat33 ARel= { {-0.280836, -0.188095, -0.941144}, {0.004752, 0.980323, -0.197343}, { 0.959744, -0.059893, -0.274416}}';
ScaleMat = ARel*...Thorax.ScaleFunction.ScaleMat*(ARel');
Offset = {0,0,0}*ARel';
};
};
AnyFolder Scapula = {
AnyFunTransform3DLin ScaleFunction = {
AnyMat33 ARel ={{0.561294, 0.097357, -0.821870}, {-0.151325, 0.988389, 0.013736}, {0.813664, 0.116660, 0.569509}}';
ScaleMat = ARel*...Thorax.ScaleFunction.ScaleMat*(ARel');
Offset = {0,0,0}*ARel';
};
};
AnyFolder Humerus = {
AnyVar GeomScale = (....Anthropometrics.SegmentDimensions.Left.UpperArmLength / ...StandardParameters.Humerus.Length);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat ={{.GeomScale,0,0},{0,.GeomScale,0},{0,0,.GeomScale}};
Offset = {0,0,0};
};
};
AnyFolder Ulna = {
AnyVar GeomScale = (....Anthropometrics.SegmentDimensions.Left.LowerArmLength / ...StandardParameters.Ulna.Length);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat ={{.GeomScale,0,0},{0,.GeomScale,0},{0,0,.GeomScale}};
Offset = {0,0,0};
};
};
AnyFolder Radius = {
AnyFunTransform3DLin ScaleFunction = {
//This Arel is used for mapping the scaling of ulna into the radius coordinate system
//which is rotated, Arel has been found for a neutral position
AnyMat33 ARel = {{-0.145873, 0.989303, -0.000001}, {-0.989303, -0.145873, -0.000001}, {-0.000001, 0.000000, 1.000000}};
AnyMat33 ScaleXYZ = ..Ulna.ScaleFunction.ScaleMat;
ScaleMat = ARel'*ScaleXYZ*ARel;
Offset = {0,0,0}*ARel; };
};
AnyFolder Hand = {
AnyVar HandLength = ....Anthropometrics.SegmentDimensions.Left.HandLength;
AnyVar HandBreadth = ....Anthropometrics.SegmentDimensions.Left.HandBreadth;
AnyFunTransform3DLin ScaleFunction = {
AnyVar BreadthScale = .HandBreadth/....StandardParameters.Hand.HandBreadth;
AnyVar LengthScale = .HandLength/....StandardParameters.Hand.HandLength;
ScaleMat ={{LengthScale,0,0},{0,BreadthScale,0},{0,0,BreadthScale}};
Offset = {0,0,0};
};
};
AnyFolder Foot = {
AnyVar GeomScale = (....Anthropometrics.SegmentDimensions.Left.FootLength / ...StandardParameters.Left.Foot.Length);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat ={{.GeomScale,0,0},{0,.GeomScale,0},{0,0,.GeomScale}};
Offset = {0,0,0};
};
};
AnyFolder Shank = {
AnyVar GeomScale = (....Anthropometrics.SegmentDimensions.Left.ShankLength / ...StandardParameters.Left.Shank.Length);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat ={{.GeomScale,0,0},{0,.GeomScale,0},{0,0,.GeomScale}};
Offset = {0,0,0};
};
};
AnyFolder Thigh = {
AnyVar GeomScale = (....Anthropometrics.SegmentDimensions.Left.ThighLength / ...StandardParameters.Left.Thigh.Length);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat ={{.GeomScale,0,0},{0,.GeomScale,0},{0,0,.GeomScale}};
Offset = {0,0,0};
};
};
// Talus uses the scaling function of the Foot segment
AnyFolder &Talus = Foot;
// Patella uses the scaling function of the Thigh segment.
AnyFolder &Patella = Thigh;
};//Left
// Common law for the upper body
// *****************************
AnyFolder Pelvis = {
AnyVar GeomScale = (...Anthropometrics.SegmentDimensions.PelvisWidth / ..StandardParameters.Pelvis.Width);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat = diag({.GeomScale, .GeomScale, .GeomScale});
AnyMatrix ScaleMatInverse = diag({1/.GeomScale, 1/.GeomScale, 1/.GeomScale});
Offset = {0,0,0};
};
};
AnyFolder Thorax = {
AnyVar GeomScale = (...Anthropometrics.SegmentDimensions.TrunkHeight / ..StandardParameters.Trunk.Height);
AnyFloat OriginUnscaled ??= warn(
0, "To ensure continuity in the scaling law the thorax origin must be specified"
);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat = diag({.GeomScale, .GeomScale, .GeomScale});
AnyMatrix ScaleMatInverse = diag({1/.GeomScale, 1/.GeomScale, 1/.GeomScale});
Offset = (
..Pelvis.ScaleFunction(.OriginUnscaled) - (.OriginUnscaled * ScaleMat')
) * ScaleMatInverse;
};
};
AnyFolder Head = {
AnyVar GeomScale = (...Anthropometrics.SegmentDimensions.HeadHeight / ..StandardParameters.Head.Height);
AnyFunTransform3DLin ScaleFunction = {
ScaleMat = diag({.GeomScale, .GeomScale, .GeomScale});
AnyMatrix ScaleMatInverse = diag({1/.GeomScale, 1/.GeomScale, 1/.GeomScale});
Offset = {0,0,0};
};
};
// uniform scaling is the same for cervical, thoracic and lumbar regions
AnyFolder &Cervical = Thorax;
AnyFolder &Lumbar = Thorax;
};
Datasets
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