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Recent Posts
- Wave- and heat-equation on surfaces
- Partial differential equations involving time
- Tutorial 11 – Electric fields on surfaces
- Laplace operator 2
- Triangulated surfaces with metric and the Plateau problem
- Dirichlet energy 2
- Gradient and Dirichlet energy on triangulated domains.
- Triangulated surfaces and domains
- Laplace operator 1
- Tutorial 10 – Discrete minimal surfaces
- Tutorial 9 – The Dirichlet problem
- Tutorial 8 – Flows on functions
- Tutorial 7 – Visualization of gradient fields
- Random Fourier polynomials
- Tutorial 6: Close-to-conformal parametrizations of Hopf tori
- Tutorial 5: Lawson’s minimal surfaces and the Sudanese Möbius band
- The 3-Sphere
- Tutorial 4: Hyperbolic helicoids
- Tutorial 3: Framed Closed Curves
- Conformal maps III: Stereographic Projection
- Conformal Maps II: Inversions
- Quaternions
- Tutorial 2: Framed Discrete Curves
- Mandelbrot Set
- Conformal Maps I: Holomorphic Functions
- Conformal Parametrizations of Surfaces
- Parallel Frame for Curves
- Arclength-Parametrized Curves
- Sampled Parametrized Curves
- Tutorial 1: Implicit Surfaces with Houdini
- Creating Geometry From Scratch
- Combinatorial Geometry in Houdini
- Combinatorial Geometry: Simplicial Complexes
- Combinatorial Geometry: Cell Complexes
- Scenes with White Background
- Simple Ambient Scenes
- Visualizing Discrete Geometry with Houdini II
- Rendering and Working with Cameras
- Visualizing Discrete Geometry with Houdini I
- Using Houdini on MacBooks
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Author Archives: Felix
Tutorial 2: Framed Discrete Curves
A discrete curve \(\gamma\) in a space \(\mathrm M\) is just a finite sequence of points in \(\mathrm M\), \(\gamma = (\gamma_0,…,\gamma_{n-1})\). In case we have discrete curve \(\gamma\) in \(\mathbb R^3\) we can simply draw \(\gamma\) by joining the points by straight … Continue reading
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Tutorial 1: Implicit Surfaces with Houdini
It is amazingly simple to create high-quality renderings with Houdini. Several small tricks to achieve nice renderings of geometries in a mathematical context are already described in the first posts of this blog. If you not have looked at it yet you should … Continue reading
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