inverse_distance_weighting | dimensional spaces using inverse distance | Math library
kandi X-RAY | inverse_distance_weighting Summary
kandi X-RAY | inverse_distance_weighting Summary
Interpolation in D-dimensional spaces using inverse distance weighted, k-nearest neighbours
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QUESTION
I have a sparse matrix and I need to create a new neighbor matrix of each index.
Below I leave a representation of the data in the NxM
matrix. For each of the elements of the matrix I need to obtain the neighbors in a section of KxK
. With this information, it would generate a NMxKK
matrix that contains in each row the indices of the neighboring KKs of the element.
I asked a similar question a while ago but the difference is that now the data is structured, so I can do without KdTree.
This new matrix is used to calculate the distance of non-zero neighbors, and with these distances associate a weight to each neighbor, to finally estimate the desired value as a weighted average of the neighbors.
Thanks in advance!
UPDATE
I have data like the ones in the image (generated with the function generate_data
) and I need to perform the following operation.
Given a filter / kernel / NxN
matrix, with N
being the kernel size defined by me, calculate for nonzero values the distances with respect to the central pixel. Take as an example the value 20
that is in the position (1, 8)
of the image. Taking a matrix of 5x5
, the nonzero values of interest are 40
(in (0, 6)
), 37
(in (1, 6)
) and 25
(in (3, 10)
), with distances 2.23606798
, 2
and 2.82842712
respectively (obtained making the Euclidean norm between the indices).
What I need to get in this step is the matrix res
:
ANSWER
Answered 2018-Aug-10 at 13:55This was really simple, although maybe not very efficient. What I had to do was two convolutions:
In the first, it was convolucionar the Gaussian kernel with the matrix
conv_1 = convolve2d(m * mask_clean, k_gauss)
In the second, the Gaussian kernel with the mask
conv_2 = convolve2d(mask_clean, k_gauss)
In each position, conv_1
would have the sum of each value weighed by the corresponding factor of the Gaussian kernel. conv_2
would have in each position the sum of all nonzero values. The only thing left to do was divide them to get the final result
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Install inverse_distance_weighting
You can use inverse_distance_weighting like any standard Python library. You will need to make sure that you have a development environment consisting of a Python distribution including header files, a compiler, pip, and git installed. Make sure that your pip, setuptools, and wheel are up to date. When using pip it is generally recommended to install packages in a virtual environment to avoid changes to the system.
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