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Quaternion to Matrix, Matrix to Quaternion

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Melody Kaye
Melody Kaye
Educação
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Melody Cariaga Diana Delgado Aila Feliciano Angelica Pontejos Quaternion to Matrix
What is a Quaternion? provide a convenient mathematical notation for representing orientations and rotations of objects in three dimensions. compared to Euler angles they are simpler to compose and avoid the problem of gimbal lock. compared to rotation matrices they are more numerically stable and may be more efficient.
Format a + bi + cj +dk
Formula
Example 7 + 9i + 5j + 1k
Matrix to Quaternion
Trace sum of the main diagonal of a matrix
Robust Method ,[object Object],[object Object]
Formula
http://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation#Conversion_to_and_from_the_matrix_representation http://www.euclideanspace.com/maths/geometry/rotations/conversions/quaternionToMatrix/index.htm http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm References:
Quaternion to Matrix, Matrix to Quaternion

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Quaternion to Matrix, Matrix to Quaternion