A new interpolation algorithm, which can customize the displacement and velocity of each sample point.
These tools depend on Eigen modules (mainly Dense) and C++ Standard Library. You'd better install Eigen3 in advance.
sudo apt-get install libeigen3-dev
brew install eigen
The namespace can be changed if necessary.
In ./test folder provides a test sample to test the fundamental functions, you have to do:
mkdir build
cd build
cmake ..
make
./three_try
Now you can see the output, and see below instructions to understand what ./test/there_try.cpp is doing.
In ThreeInterpolation folder, the source file ThreeInterpolation.cpp and header file ThreeInterpolation.h declare and define the ThreeInterpolation class. Specific annotations are in code, temporarily only Chinese explaination contained.
There are two overrided conductor functions in this class. Copy conductor and destructor are default.
Get the value of the derived piecewise three degress polynomial function at one particular point x_0.
Calculate the value of the derived piecewise three degress polynomial function at an arithmetic progression with common difference of t_0.
Return the the value of the derived piecewise three degress polynomial function at an arithmetic progression with common difference of t0 after CalculatePoints.
Return the arithmetic progression with common difference of t_0.
Add a sample point with its horizontal coordinates x_a, vertical coordinates y_a and slope s_a into this ThreeInterpolation object.
Get piece_numth section of three degree polynomial's coefficients.
This figure can be derived by running the matlab script.
P1 : (-4 , 3 , 2)
P2 : (7 , 5 , -1)
The data is derived from C++ code and plot by matlab script.
