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Markus Buchholz
Markus Buchholz

401 Followers

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3 days ago

Phyllotaxis Growth. Simulations in C++ ImgGui.

Phyllotaxis is a plant with exceptional leaf arrangement that was researched by biologists and mathematicians. According to the article, we can derive two mathematical models (by H. Vogel and by J.N. Ridley) describing plant growth and shape. For the following article used the model proposed by Vogel. …

Programming

3 min read

Phyllotaxis Growth. Simulations in C++ ImgGui.
Phyllotaxis Growth. Simulations in C++ ImgGui.
Programming

3 min read


Mar 18

Cardioid Simulations in C++ ImGui

Carodoid is a geometrical shape drawn on the surface by a rolling circle on the other circle with the same radius. Please considered the process of generation on the below simulation,

Mathematics

3 min read

Cardioid Simulations in C++ ImGui
Cardioid Simulations in C++ ImGui
Mathematics

3 min read


Mar 17

Diffusion-Limited Aggregation. Simulation in C++ ImGui

Diffusion-Limited Aggregation (DLA) can be explained as a random walk process (particles due to random movement walk away from the place where they started) due to the Brownian motion (see also one of my previous articles). The random motion behavior affects that the particle can be grouped in clusters which…

Mathematics

3 min read

Diffusion-Limited Aggregation. Simulation in C++ ImGui
Diffusion-Limited Aggregation. Simulation in C++ ImGui
Mathematics

3 min read


Mar 15

3D Illusion in 2D Space. Simulation in C++ ImGui

The idea discuss in the following article is simple, however, the solution can be a bit tricky. I decide to draw it in 2D space a cube and perform the rotation around X, Y, and (Z) axes. This is a common illusion trick that is often used across different domains…

Robotics

3 min read

3D Illusion in 2D Space. Simulation in C++ ImGui
3D Illusion in 2D Space. Simulation in C++ ImGui
Robotics

3 min read


Mar 12

Metaballs simulation in C++

We can think of the metaballs as organic-looking n-dimensional isosurface shapes moving in space. The most inspiring feature is their ability to meld together when in close proximity to create single, contiguous objects. …

Mathematics

3 min read

Metaballs simulation in C++
Metaballs simulation in C++
Mathematics

3 min read


Mar 11

Worley Noise in C++

The principles of noise that resembles natural behavior and that are better acceptable by human senses I discussed in one of my previous articles. I display the beauty of the Perilin noise which is commonly used in computer graphics. The following article can be considered as a continuity of this discussion…

Signal Processing

3 min read

Worley Noise in C++
Worley Noise in C++
Signal Processing

3 min read


Mar 7

Perlin Noise for Fractal Brownian Motion in C++

The choice of random number or noise is affected by the application we run. There are several implementations of random generators in C++. For my purposes, I use often the Marsenne-Twister engine. Generally, we are looking for such an engine (method) that gives always an unreachable number, chosen totally independently…

Image Processing

6 min read

Perlin Noise for Fractal Brownian Motion in C++
Perlin Noise for Fractal Brownian Motion in C++
Image Processing

6 min read


Feb 28

Fourier Series in C++ ImGui

Fourier series for the periodic function is the sum of sine and cosine curves. Generally speaking, each periodic signal is composed of sine functions (with different oscillation periods). I provided an extensive introduction to signal processing here, where we could see how to design a digital filter. In the following…

Robotics

2 min read

Fourier Series in C++ ImGui
Fourier Series in C++ ImGui
Robotics

2 min read


Feb 26

Jansen Linkage for Robot Motion in C++ ImGui

Human being often thinks out of the box therefore our life is exposed to changes and many inspiration projects. Since some of my previous articles discuss motion and linkages, that transfer rotational motion to linear or other complex forms of movement, this time I will illustrate Jansen linkage which was…

Robotics

3 min read

Jansen Linkage for Robot Motion in C++ ImGui
Jansen Linkage for Robot Motion in C++ ImGui
Robotics

3 min read


Feb 25

Peaucellier–Lipkin Linkage in C++ ImGui

Similar to my previous article, where I depicted the Hoecken linkage, the following one converts rotational motion to a straight line (it is not an approximation as it was discussed previously).

Robotics

2 min read

Peaucellier–Lipkin Linkage in C++ ImGui
Peaucellier–Lipkin Linkage in C++ ImGui
Robotics

2 min read

Markus Buchholz

Markus Buchholz

401 Followers
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