Introduction While writing my crate for Isogeometric Analysis, I found myself in need of testing the Bézier implementation somehow. I thought it would be fun, as usual, to test with[...]
Introduction There are important curves that cannot be represented precisely using Bézier curves. However, some of those curves, can be represented with rational Bézier curves. While writing my crate on[...]
Introduction I recently implemented a demo of Isogeometric Analysis in Octave and then, just for fun, in TypeScript. Here are a few articles on the topic. After writing the algorithms[...]
Introduction In the classical Finite Element Method (FEM) the domain of the problem is approximated by defining a mesh and basis functions over its elements. More elements for the mesh[...]
In this blog post I wrote some notes about B-splines. There are however important classes of curves and surfaces that cannot be represented by piecewise-polynomials like circles, ellipses etc… NURBS[...]
In the previous blog post here I implemented Bézier curves. There are other important structures that are used in computer graphics and I’d need those structures to define a domain[...]
While working on my sample IGA implementation here https://github.com/carlonluca/isogeometric-analysis, I found myself in need of defining and implementing the math structures used to define the domain and the solution space.[...]
It’s been some years since I completed my dissertation on FEM and Isogeometric Analysis, but I realised I never had the time to organise my code properly and archive it.[...]