Re: [Interest] Plane rotations

[Mike Chinander]

The following is equivalent to your equation:

float cosAngle = QVector3D::dotProduct(v1.normalized(), v2.normalized());

Your numerator is the dot product and the denominator does the
normalization (makes them unit vectors).

On Wed, Apr 5, 2017 at 7:50 AM, Igor Mironchik 
wrote:

> Hi,
>
>
> 05.04.2017 15:13, Sean Harmer пишет:
>
>> Yes, just use the dot product.
>>
>
> You want to say, that QVector3D::dotProduct() will give me an angle?
>
>
>> Sean
>>
>> On Wednesday 05 April 2017 14:59:48 Igor Mironchik wrote:
>>
>>> Hi,
>>>
>>> I Googled it and found:
>>>
>>> The cos of angle between vectors is:
>>> |(ax*bx + ay*by + az*bz)
>>>
>>>  sqrt(ax*ax +
>>> ay*ay + az*az) * sqrt(bx*bx + by*by + bz*bz)|
>>>
>>> 05.04.2017 14:52, Igor Mironchik пишет:
>>>
 05.04.2017 14:45, Igor Mironchik пишет:

> Hi,
>
> 05.04.2017 14:29, Paolo Angelelli пишет:
>
>> Just cross N and M to get the vector around which to rotate.
>>
>> Then use a QQuaternion to set the rotation in the
>> Qt3DCore::QTransform,
>> and construct it with fromAxisAndAngle(const QVector3D , float
>> angle)
>>
> Ok, I can rotate around the right axis. But what angle should I rotate?
>
 This is my question.

 And how can I calculate new normal to the rotated plane?
>
 I already know it...

 I just need to know what angle should I rotate.

 On Wed, 5 Apr 2017 14:18:56 +0300
>>
>> Igor Mironchik  wrote:
>>
>>> Hello,
>>>
>>> Let's say I have two vectors - N (normal vector to plane P1) and M
>>> (normal vector to plane P2).
>>>
>>> How to calculate x, y, z axis rotations angles for plane P2 to make
>>> plane P2 parallel to P1?
>>>
>>> How to calculate x, y, z axis rotations angles for plane P2 to
>>> rotate it
>>> around vector N?
>>>
>>> Thank you.
>>>
>>> And what is the measurement of angle in rotationX() of
>>> Qt3DCore::QTransform?
>>>
>>> I need to calculate angles in this units.
>>>
>>> ___
>>> Interest mailing list
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>
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Re: [Interest] Plane rotations

[Igor Mironchik]

Hi,


05.04.2017 15:13, Sean Harmer пишет:

Yes, just use the dot product.


You want to say, that QVector3D::dotProduct() will give me an angle?


Sean

On Wednesday 05 April 2017 14:59:48 Igor Mironchik wrote:

Hi,

I Googled it and found:

The cos of angle between vectors is:
|(ax*bx + ay*by + az*bz)

 sqrt(ax*ax +
ay*ay + az*az) * sqrt(bx*bx + by*by + bz*bz)|

05.04.2017 14:52, Igor Mironchik пишет:

05.04.2017 14:45, Igor Mironchik пишет:

Hi,

05.04.2017 14:29, Paolo Angelelli пишет:

Just cross N and M to get the vector around which to rotate.

Then use a QQuaternion to set the rotation in the Qt3DCore::QTransform,
and construct it with fromAxisAndAngle(const QVector3D , float
angle)

Ok, I can rotate around the right axis. But what angle should I rotate?

This is my question.


And how can I calculate new normal to the rotated plane?

I already know it...

I just need to know what angle should I rotate.


On Wed, 5 Apr 2017 14:18:56 +0300

Igor Mironchik  wrote:

Hello,

Let's say I have two vectors - N (normal vector to plane P1) and M
(normal vector to plane P2).

How to calculate x, y, z axis rotations angles for plane P2 to make
plane P2 parallel to P1?

How to calculate x, y, z axis rotations angles for plane P2 to
rotate it
around vector N?

Thank you.

And what is the measurement of angle in rotationX() of
Qt3DCore::QTransform?

I need to calculate angles in this units.

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Re: [Interest] Plane rotations

[Sean Harmer]

Yes, just use the dot product.

Sean

On Wednesday 05 April 2017 14:59:48 Igor Mironchik wrote:
> Hi,
> 
> I Googled it and found:
> 
> The cos of angle between vectors is:
> |(ax*bx + ay*by + az*bz)
> 
>  sqrt(ax*ax +
> ay*ay + az*az) * sqrt(bx*bx + by*by + bz*bz)|
> 
> 05.04.2017 14:52, Igor Mironchik пишет:
> > 05.04.2017 14:45, Igor Mironchik пишет:
> >> Hi,
> >> 
> >> 05.04.2017 14:29, Paolo Angelelli пишет:
> >>> Just cross N and M to get the vector around which to rotate.
> >>> 
> >>> Then use a QQuaternion to set the rotation in the Qt3DCore::QTransform,
> >>> and construct it with fromAxisAndAngle(const QVector3D , float
> >>> angle)
> >> 
> >> Ok, I can rotate around the right axis. But what angle should I rotate?
> > 
> > This is my question.
> > 
> >> And how can I calculate new normal to the rotated plane?
> > 
> > I already know it...
> > 
> > I just need to know what angle should I rotate.
> > 
> >>> On Wed, 5 Apr 2017 14:18:56 +0300
> >>> 
> >>> Igor Mironchik  wrote:
>  Hello,
>  
>  Let's say I have two vectors - N (normal vector to plane P1) and M
>  (normal vector to plane P2).
>  
>  How to calculate x, y, z axis rotations angles for plane P2 to make
>  plane P2 parallel to P1?
>  
>  How to calculate x, y, z axis rotations angles for plane P2 to
>  rotate it
>  around vector N?
>  
>  Thank you.
>  
>  And what is the measurement of angle in rotationX() of
>  Qt3DCore::QTransform?
>  
>  I need to calculate angles in this units.
>  
>  ___
>  Interest mailing list
>  Interest@qt-project.org
>  http://lists.qt-project.org/mailman/listinfo/interest
> >>> 
> >>> ___
> >>> Interest mailing list
> >>> Interest@qt-project.org
> >>> http://lists.qt-project.org/mailman/listinfo/interest

-- 
Dr Sean Harmer | sean.har...@kdab.com | Managing Director UK
KDAB (UK) Ltd, a KDAB Group company
Tel. +44 (0)1625 809908; Sweden (HQ) +46-563-540090
Mobile: +44 (0)7545 140604
KDAB - Qt Experts
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Re: [Interest] Plane rotations

[Igor Mironchik]

Hi,

I Googled it and found:

The cos of angle between vectors is:

|(ax*bx + ay*by + az*bz) 
 sqrt(ax*ax + 
ay*ay + az*az) * sqrt(bx*bx + by*by + bz*bz)|



05.04.2017 14:52, Igor Mironchik пишет:



05.04.2017 14:45, Igor Mironchik пишет:

Hi,

05.04.2017 14:29, Paolo Angelelli пишет:

Just cross N and M to get the vector around which to rotate.

Then use a QQuaternion to set the rotation in the Qt3DCore::QTransform,
and construct it with fromAxisAndAngle(const QVector3D , float 
angle)


Ok, I can rotate around the right axis. But what angle should I rotate?


This is my question.



And how can I calculate new normal to the rotated plane?


I already know it...

I just need to know what angle should I rotate.






On Wed, 5 Apr 2017 14:18:56 +0300
Igor Mironchik  wrote:


Hello,

Let's say I have two vectors - N (normal vector to plane P1) and M
(normal vector to plane P2).

How to calculate x, y, z axis rotations angles for plane P2 to make
plane P2 parallel to P1?

How to calculate x, y, z axis rotations angles for plane P2 to 
rotate it

around vector N?

Thank you.

And what is the measurement of angle in rotationX() of 
Qt3DCore::QTransform?


I need to calculate angles in this units.

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Re: [Interest] Plane rotations

[Igor Mironchik]

05.04.2017 14:45, Igor Mironchik пишет:

Hi,

05.04.2017 14:29, Paolo Angelelli пишет:

Just cross N and M to get the vector around which to rotate.

Then use a QQuaternion to set the rotation in the Qt3DCore::QTransform,
and construct it with fromAxisAndAngle(const QVector3D , float 
angle)


Ok, I can rotate around the right axis. But what angle should I rotate?


This is my question.



And how can I calculate new normal to the rotated plane?


I already know it...

I just need to know what angle should I rotate.






On Wed, 5 Apr 2017 14:18:56 +0300
Igor Mironchik  wrote:


Hello,

Let's say I have two vectors - N (normal vector to plane P1) and M
(normal vector to plane P2).

How to calculate x, y, z axis rotations angles for plane P2 to make
plane P2 parallel to P1?

How to calculate x, y, z axis rotations angles for plane P2 to 
rotate it

around vector N?

Thank you.

And what is the measurement of angle in rotationX() of 
Qt3DCore::QTransform?


I need to calculate angles in this units.

___
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Re: [Interest] Plane rotations

[Igor Mironchik]

Hi,

05.04.2017 14:29, Paolo Angelelli пишет:

Just cross N and M to get the vector around which to rotate.

Then use a QQuaternion to set the rotation in the Qt3DCore::QTransform,
and construct it with fromAxisAndAngle(const QVector3D , float angle)


Ok, I can rotate around the right axis. But what angle should I rotate?

And how can I calculate new normal to the rotated plane?




On Wed, 5 Apr 2017 14:18:56 +0300
Igor Mironchik  wrote:


Hello,

Let's say I have two vectors - N (normal vector to plane P1) and M
(normal vector to plane P2).

How to calculate x, y, z axis rotations angles for plane P2 to make
plane P2 parallel to P1?

How to calculate x, y, z axis rotations angles for plane P2 to rotate it
around vector N?

Thank you.

And what is the measurement of angle in rotationX() of Qt3DCore::QTransform?

I need to calculate angles in this units.

___
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Re: [Interest] Plane rotations

[Paolo Angelelli]

Just cross N and M to get the vector around which to rotate.

Then use a QQuaternion to set the rotation in the Qt3DCore::QTransform, 
and construct it with fromAxisAndAngle(const QVector3D , float angle)


On Wed, 5 Apr 2017 14:18:56 +0300
Igor Mironchik  wrote:

> Hello,
> 
> Let's say I have two vectors - N (normal vector to plane P1) and M 
> (normal vector to plane P2).
> 
> How to calculate x, y, z axis rotations angles for plane P2 to make 
> plane P2 parallel to P1?
> 
> How to calculate x, y, z axis rotations angles for plane P2 to rotate it 
> around vector N?
> 
> Thank you.
> 
> And what is the measurement of angle in rotationX() of Qt3DCore::QTransform?
> 
> I need to calculate angles in this units.
> 
> ___
> Interest mailing list
> Interest@qt-project.org
> http://lists.qt-project.org/mailman/listinfo/interest




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