4. Plane

Plane

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    THE POST BELOW IS MORE THAN 5 YEARS OLD. RELATED SUPPORT INFORMATION MIGHT BE OUTDATED OR DEPRECATED

    On 20/05/2010 at 09:30, xxxxxxxx wrote:

    User Information:
    Cinema 4D Version:   11.5 
    Platform:   Windows  ;   
    Language(s) :     C++  ;

    ---------
    so in math, the equation for a plane is  x + y + z = 0

    how do I represent this in the C4D api?

    is the result from CalcFaceNormal the same as this equation?

    ~Shawn

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  • H

    THE POST BELOW IS MORE THAN 5 YEARS OLD. RELATED SUPPORT INFORMATION MIGHT BE OUTDATED OR DEPRECATED

    On 21/05/2010 at 01:01, xxxxxxxx wrote:

    Hello you can represent a plane by a point in Space (vector) and a nother normalized vector (the normal of the plane).
    all the best
    Franz

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  • H

    THE POST BELOW IS MORE THAN 5 YEARS OLD. RELATED SUPPORT INFORMATION MIGHT BE OUTDATED OR DEPRECATED

    On 21/05/2010 at 04:47, xxxxxxxx wrote:

    A plane is defined in Cinema as a plane through the planes global matrix.

    The orientation parameter of the plane (+/-x, y, or z respectively) defines how the plane is oriented in this matrix.

    While a plane mathematically could be defined by a point and a normal only as Franz suggested, this leaves the orientation of the other two matrix vectors undefined.

    So, to construct a plane, you need to construct an orthogonal matrix with the offset vector off [= any point on the plane], the normal vector and two new vectors for v1-v3. V1-v3 should be perpendicular to each other = orthogonal.

    Depending which of v1-v3 carries your normal vector, set the orientation parameter of plane accordingly.

    Hope it helps

    Kabe

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  • H

    THE POST BELOW IS MORE THAN 5 YEARS OLD. RELATED SUPPORT INFORMATION MIGHT BE OUTDATED OR DEPRECATED

    On 21/05/2010 at 05:06, xxxxxxxx wrote:

    Originally posted by xxxxxxxx

    While a plane mathematically could be defined by a point and a normal only as Franz suggested, this leaves the orientation of the other two matrix vectors undefined.

    right.... i loose this part, sorry :)

    to buil the matrix you can start by definig 3 point plane and use this tree point to obtain v1 and v3 with cross vector

    all the best
    Frabz

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  • H

    THE POST BELOW IS MORE THAN 5 YEARS OLD. RELATED SUPPORT INFORMATION MIGHT BE OUTDATED OR DEPRECATED

    On 26/05/2010 at 02:13, xxxxxxxx wrote:

    Originally posted by xxxxxxxx

    Hello you can represent a plane by a point in Space (vector) and a nother normalized vector (the normal of the plane).
    all the best
    Franz

    Yes, this is the defintion of an infinite plane.

    cheers,
    Matthias

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