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Trafo class description

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Michael Kirsch 2019-07-17 19:05:28 +02:00 committed by Joseph Lenox
parent 880a00e421
commit 73a2560252
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27
xs/src/libslic3r/TransformationMatrix.hpp
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@ -6,6 +6,33 @@
namespace Slic3r {
/*
The TransformationMatrix class was created to keep track of the transformations applied
to the objects from the GUI. Reloading these objects will now preserve their orientation.
As usual in engineering vectors are treated as column vectors.
Note that if they are treated as row vectors, the order is inversed:
(') denotes the transponse and column vectors
Column: out' = M1 * M2 * in'
Row: out = in * M2' * M1'
Every vector gets a 4th component w added,
with positions lying in hyperplane w=1
and direction vectors lying in hyperplane w=0
Using this, affine transformations (scaling, rotating, shearing, translating and their combinations)
can be represented as 4x4 Matri.
The 4th row equals [0 0 0 1] in order to not alter the w component.
The other entries are represented by the class properties mij (i-th row [1,2,3], j-th column [1,2,3,4]).
The 4th row is not explicitly stored, it is hard coded in the multiply function.
Column vectors have to be multiplied from the right side.
*/
class TransformationMatrix
{
public: