transformation-matrix | Javascript isomorphic 2D affine transformations | Machine Learning library
kandi X-RAY | transformation-matrix Summary
kandi X-RAY | transformation-matrix Summary
Javascript isomorphic 2D affine transformations written in ES6 syntax. Manipulate transformation matrices with this totally tested library!
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transformation-matrix Key Features
transformation-matrix Examples and Code Snippets
Lines of Code : 42License : Permissive (MIT License)
Copydef transformation_matrix(velocity: float) -> np.array:
"""
>>> transformation_matrix(29979245)
array([[ 1.00503781, -0.10050378, 0. , 0. ],
[-0.10050378, 1.00503781, 0. , 0. ],
def flat_transforms_to_matrices(transforms):
"""Converts `tf.contrib.image` projective transforms to affine matrices.
Note that the output matrices map output coordinates to input coordinates. For
the forward transformation matrix, call `tf.li Community Discussions
Trending Discussions on transformation-matrix
QUESTION
I have a Support Vector Machine that splits my data in two using a decision hyperplane (for visualisation purposes this is a sample dataset with three dimensions), like this: Now I want to perform a change of basis, such that the hyperplane lies flatly on the x/y plane, such that the distance from each sample point to the decision hyperplane is simply their z-coordinate.
For that, I know that I need to perform a change of basis. The hyperplane of the SVM is given by their coefficient (3d-vector) and intercept (scalar), using (as far as I understand it) the general form for mathematical planes: ax+by+cz=d, with a,b,c being the coordinates of the coefficient and d being the intercept. When plotted as 3d-Vector, the coefficient is a vector orthogonal to the plane (in the image it's the cyan line).
Now to the change of basis: If there was no intercept, I could just assume the vector that is the coefficient is one vector of my new basis, one other can be a random vector that is on the plane and the third one is simply cross product of both, resulting in three orthogonal vectors that can be the column vectors of the transformation-matrix.
The z-function used in the code below comes from simple term rearrangement from the general form of planes: ax+by+cz=d <=> z=(d-ax-by)/c:
ANSWER
Answered 2021-Oct-02 at 21:43The problem here is that your plane is an affine space, not a vector space, so you can't use the usual transform matrix formula.
A coordinate system in affine space is given by an origin point and a basis (put together, they're called an affine frame). For example, if your origin is called O, the coordinates of the point M in the affine frame will be the cooordinates of the OM vector in the affine frame's basis.
As you can see, the "normal" R^3 space is a special case of affine space where the origin is (0,0,0).
Once we've determined those, we can use the frame change formulas in affine spaces: if we have two affine frames R = (O, b) and R' = (O', b'), the base change formula for a point M is: M(R') = base_change_matrix_from_b'_to_b * (M(R) - O'(R)) (with O'(R) the coordinates of O' in the coordinate system defined by R).
In our case, we're trying to go from the frame with an origin at (0,0,0) and the canonical basis, to a frame where the origin is the orthogonal projection of (0,0,0) on the plane and the basis is, for instance, the one described in your initial post.
Let's implement these steps:
To begin with, we'll define a Plane class to make our lifes a bit easier:
QUESTION
I'm working with Apple's Core Graphics framework and attempting to implement a push and pop matrix to isolate and encapsulate changes to the current transformation matrix (ctm) using a stack structure.
This would be external to Core Graphics' .saveGState() and .restoreGState() and the reason for this is that .saveGState() and .restoreGState() push and pop much more than just the ctm and I'd like to give my API/package users the option of separating style and matrix when pushing and popping.
The process I'd like to implement is:
pushMatrix()- add ctm to stack.- Do any scaling, translating, rotating, or application of a custom affine transform of the ctm.
popMatrix()- change current ctm back to the last pushed state.
Here is the code I'm currently using (minus the stack code for brevity):
...ANSWER
Answered 2021-Aug-18 at 03:11This was a really easy fix, so I'll answer my own question in case others make this mistake as well.
The context's ctm property is get only. In order to set the ctm using concatenation I was trying:
QUESTION
I have been trying to perform AruCo or Marker detection in unity using a customer camera that can provide a texture, this is not a regular camera so you cant use the regular webcamtexture that comes with the package, i have been trying everything that i can imagine but it just dont work for me. I have tested so many things so ill post my code for AruCo and maybe someone can help me fix this, the code dont show any errors but it also doesnt detect anything or at minimum i was expecting the rejected corners to be detected.
...ANSWER
Answered 2020-Aug-11 at 22:27The problem with the code was that the images were coming as Alpha8 texture and OpenCV works with RGB texture, so when i was converting to RGB the A part was been strip from the image which was pretty much the only content in it.
The solution was posted on this other thread: Solution to change format from Alpha8 to RGBA texture.
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