qt-interp is a QT toy program that demonstrates interpolating points
in the 2D plane in an interactive fashion.
The goal for this program is to be a exercise and a starting point for similar toys. Please note that this is one of my first program in C++ and certainly in Qt6. Do not rely on the present work to build serious projects nor learn about correct C++ or Qt programming.
In action:
demo.mp4
The interpolation is performed as detailed in [1]. It is a Lagrangian interpolation in barycentric formulation. This is not the focus of this repository, but this paper is worth a read.
While I tried not to make a mess, and believe the structure is sound and no excessive operations are carried out, there may be some unnecessary data copying as well as awkward data marshalling.
The program runs smoothly on my (small) desktop.
To build this project, make sure you have Qt6 development libraries installed
and cmake. Change to a build directory at the root of the project and run:
cd build
cmake ..
cmake --build .qt-interp builds and runs fine with cmake-3.22.2, gcc-10.2.1,
qt-6.3.0_1, on my Void Linux desktop with kernel 5.15_1.
- Dynamically add or remove points.
- Zoom the chart area.
- Display a formula using the basis of monomials. This would require something along the lines of [2].
- J.-P. Berrut and L. N. Trefethen, “Barycentric Lagrange Interpolation,” SIAM Review 46, 501–517 (2004). https://doi.org/10.1137/s0036144502417715
- https://math.stackexchange.com/questions/88256/computation-of-coefficients-of-lagrange-polynomials
I took a lot of inspiration from the QT documentation examples, along with the usual copying and pasting from StackOverflow.
- https://doc.qt.io/qt-6/qtcharts-areachart-example.html
- https://doc.qt.io/qt-6/qtcharts-scatterinteractions-example.html
- https://doc.qt.io/qt-6/qtwidgets-graphicsview-elasticnodes-example.html
- https://doc.qt.io/qt-6/qtwidgets-graphicsview-diagramscene-example.html
- https://forum.qt.io/topic/109935/draggable-line-segment/3