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Question by psdev · Mar 30, 2011 at 10:41 PM · jointsboneconstraints

What is the best way to constrain bone rotations?

I have a fully rigged FBX which works fine in Unity when I am controlling it's movement via Kinect (I am not using pre-existing animations mostly). I am not using any IK or anything. However I would like to constrain the movements of each bone based on normal human limitations - to do that I have a series of constants Vector3's with the bindpose, jointMin and jointMax rotations and I am attempting to only rotate the bone when the value is within these values but it is clumsy and hard to debug.

Is this the correct approach? I see in the docs there are some joint constraints but I assume that is for a different type of object in Unity, and would require me to re-rig my character in a different way? I would prefer to keep my character rigs created in my external 3D app and just set settings or code in Unity and I am using Z-axis bones from Lightwave in my generated FBXs.

Are there any links or tutorials on constraining bones from such a rig? Or what is the best approach? thanks :)

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Answer by drod7425 · Feb 04, 2013 at 03:55 PM

Well, I modified psdev's code to include constraints on multiple axes. I know this answer is old, but hopefully this helps someone.

EDIT: Also, this code can be attached anywhere. All you have to do is assign each of the bones to the BoneClamp array. I usually attached this to the GameObject of the player model I'm constraining.

     using UnityEngine;
     using System.Collections;
     
     [AddComponentMenu("Kinect/Kinect Clamp")]
     
     public class KinectClamp : MonoBehaviour {
         
         [System.Serializable]
         public class BoneClamp{ //Class for bones with min and max XYZ rotation values
             public Transform bone;
             public float minX = 0;
             public float maxX = 360;
             public float minY = 0;
             public float maxY = 360;
             public float minZ = 0;
             public float maxZ = 360;
         }
     
         public BoneClamp[] boneClamps;
         private Vector3 newV3 = new Vector3(0f,0f,0f);
     
         // Use this for initialization
         void Start(){
             
         }
     
         // Update is called once per frame
         void Update(){
             foreach(BoneClamp clamp in boneClamps){ 
                 clamp.minX = Mathf.Clamp(clamp.minX,0,360);    
                 clamp.minY = Mathf.Clamp(clamp.minY,0,360);    
                 clamp.minZ = Mathf.Clamp(clamp.minZ,0,360);    
                 clamp.maxX = Mathf.Clamp(clamp.maxX,0,360);    
                 clamp.maxY = Mathf.Clamp(clamp.maxY,0,360);    
                 clamp.maxZ = Mathf.Clamp(clamp.maxZ,0,360);    
             }
         }
     
         // We use LateUpdate to grab the rotation from the Transform after all Updates from
     // other scripts have occured
         void LateUpdate(){
              foreach(BoneClamp clamp in boneClamps){
                 float rotationX = clamp.bone.localEulerAngles.x;
                 float rotationY = clamp.bone.localEulerAngles.y;
                 float rotationZ = clamp.bone.localEulerAngles.z;
                 
                 rotationX = Mathf.Clamp (rotationX, clamp.minX, clamp.maxX);
                 rotationY = Mathf.Clamp (rotationY, clamp.minY, clamp.maxY);
                 rotationZ = Mathf.Clamp (rotationZ, clamp.minZ, clamp.maxZ);
                 
                 newV3.x = rotationX;
                 newV3.y = rotationY;
                 newV3.z = rotationZ;
                 
                 clamp.bone.localEulerAngles = newV3;
             }
         }
     
     }
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avatar image RickyX · Feb 28, 2014 at 03:30 PM 0
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Thank you, it sure did help me.

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Answer by psdev · Apr 03, 2011 at 10:30 PM

I converted some code to C# that I found in this tutorial on google code: http://code.google.com/p/see-saw-unity/source/browse/trunk/see-saw-unity/Assets/Standard+Assets+%28Mobile%29/Scripts/RotationConstraint.js?r=2

It pretty much works, though I am still looking for the best way to constrain on multiple axis at a time. This works on one axis if you apply this script to the bone in question and set the properties in the inspector. Here is my C# conversion:

using UnityEngine; using System.Collections;

public class AxisConstrainer : MonoBehaviour {

public enum ConstraintAxis { X = 0, Y, Z }

public ConstraintAxis axis; // Rotation around this axis is constrained public float min; // Relative value in degrees public float max; // Relative value in degrees private Transform thisTransform; private Vector3 rotateAround; private Quaternion minQuaternion; private Quaternion maxQuaternion; private float range;

// Use this for initialization void Start () { thisTransform = transform;

 // Set the axis that we will rotate around
 switch ( axis )
 {
         case ConstraintAxis.X:
                 rotateAround = Vector3.right;
                 break;

         case ConstraintAxis.Y:
                 rotateAround = Vector3.up;
                 break;

         case ConstraintAxis.Z:
                 rotateAround = Vector3.forward;
                 break;
 }

 // Set the min and max rotations in quaternion space
 minQuaternion = thisTransform.localRotation * Quaternion.AngleAxis( min, rotateAround );
 maxQuaternion = thisTransform.localRotation * Quaternion.AngleAxis( max, rotateAround );
 range = max - min;  

}

// Update is called once per frame void Update () {

}

// We use LateUpdate to grab the rotation from the Transform after all Updates from // other scripts have occured void LateUpdate() { // We use quaternions here, so we don't have to adjust for euler angle range [ 0, 360 ] Quaternion localRotation = thisTransform.localRotation; Quaternion axisRotation = Quaternion.AngleAxis( localRotation.eulerAngles[(int)axis ], rotateAround ); float angleFromMin = Quaternion.Angle( axisRotation, minQuaternion ); float angleFromMax = Quaternion.Angle( axisRotation, maxQuaternion );

 if ( angleFromMin <= range && angleFromMax <= range )
 {
     return; // within range
 }
 else
 {               
     // Let's keep the current rotations around other axes and only
     // correct the axis that has fallen out of range.
     Vector3 euler = localRotation.eulerAngles;                  
     if ( angleFromMin > angleFromMax )
     {
             euler[(int)axis ] = maxQuaternion.eulerAngles[(int)axis ];
     }
     else
     {
             euler[(int)axis ] = minQuaternion.eulerAngles[(int)axis ];
     }
     thisTransform.localEulerAngles = euler;         
 }

}

}

I am not marking my question as answered because this does not fully solve constraining on multiple axis yet and someone might have a better solution.

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avatar image comrade · Jan 19, 2012 at 07:48 AM 0
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i am working on exactly same problem could you find any better solution ?

avatar image psdev · Apr 03, 2012 at 08:35 AM 0
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unfortunately I have not found a better solution yet. I don't get how other 3D apps like Lightwave can easily convert back and forth between Euler and Quaternion without losing reference to where you are in the 360 degrees (as this image shows Unity does http://i.imgur.com/5Ujig.gif )but yet Unity gives me useless degrees back.

There is an I$$anonymous$$ solution on the Asset Store, but I haven't been able to get it to work with a complex rig, it seems to work fine with an arm by itself though. Search for I$$anonymous$$ in the Asset Store - it's the only one there and maybe you can make sense of it.

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Answer by SinisterMephisto · Jul 17, 2011 at 08:14 PM

Usually converting to Euler representation and checking/clamping the x value to a x-min x-max etc is the easiest way.

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avatar image psdev · Jul 20, 2011 at 04:22 AM 0
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Hi thanks, but would you please look at this diagram?

http://i.imgur.com/5Ujig.gif

I have tried what you suggest, but this pic shows that Unity reports inconsistent Euler angles when converting the Quaternion representation of the bones.

For example, if I am checking the elbow bone and want to clamp from -5 to 150, you can see that this is not testable from the diagram I've attached which shows that Unity reports the angles from (starting at 12 oclock going clockwise) 270 to 360, 0 to 90 and 90 to 0, and 360 to 270 degrees. So how can you test something that spans 12,3,6, or 9 o'clock?

I also tried using the .Angle method to get the delta of the angle and that works a little better in that Unity will report (from 9'oclock going clockwise) 0 to 180 and 180 to 0. But again you can't test for anything that spans over 180 degrees because then you don't know which angle it actually means..

I hope I'm being clear in explaining this. Ideally Unity should report the Euler in a full circle, from 0 to 360, but it doesn't (because I assume it stores angles in Quaternions?).

Throw on top of this the fact that a typical joint in the human skeleton needs different degree constraints for each axis (e.g. the knee joint might be locked on the X axis, have a range of -75 to 3 degrees on the Y axis, and a range of -5 to +5 on the Z axis) and then you might see why I'd be confused with this...

Plus adding the parented hierarchies into the mix (e.g. the elbow bone parented to arm, to spine, to root) it gets quite tricky - though I could use localEulerAngles() to deal with that...?)

avatar image psdev · Jul 20, 2011 at 04:44 AM 0
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Check this link out in case it helps. It shows what my current skeleton hierarchy is, what the local bind pose angles are, and what I'd like to use as $$anonymous$$IN and $$anonymous$$AX limits for each of the bones in my character:

http://pastebin.com/PmcHqHea

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Answer by SinisterMephisto · Jul 20, 2011 at 04:59 PM

I used to have a code i applied on an ik leg to constrain it and all i did was check if eurler.x was within region. Obviously if your neutral / rest position is not 0 you would need to wrap/warp the angle i.e do some form of matter mathematical shift that places the min at zero and the max < 360 usually its simply a +offset Angle problem. You might want to check ODE , any opensource physics engine on how they constrain joints.

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Answer by Leith_Ketchell · Nov 28, 2018 at 03:58 AM

My solution deals with the notion that bindspace joint orientations could be entirely horrible... and that's ok - we don't require that joints be oriented in any particular way. The thrust of my solution, is to compute reference direction vectors in the bindpose, and use them as a basis of comparison in order to determine change in direction/orientation, which can be most efficiently constrained in the local space of a parent joint. Currently, before I do anything much else, I grab a copy of the (parent-relative) local transforms of all joints... I compute the Direction from Parent to each Child, transformed into the (bindpose) local space of the parent. I keep these as a reference. At runtime, when a new Direction has been computed, (ie both forward and backward Fabrik passes have been performed, with NO regard to angular constraint), I'm able to compare the two direction vectors (again, in the local space of the parent), and extract a rotation that would rotate my reference vector to align with the new vector. I have now got a 'delta-rotation' that could be multiplied with the parent worldspace rotation in order to achieve the desired new direction - I multiple the rotations, such that I have a new worldspace orientation for the parent, then I apply my per-axis angular constraints (as posted above, by Drod7425), I apply this transform to my parent, and finally, I transform the reference direction from parentspace to obtain the new childspace position, which automatically imposes the length constraint. We only need to correct child position, since directions are recomputed every frame, and so this can be easily incorporated into the Backward Pass.

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