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- 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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Category Archives: Lecture
Combinatorial Geometry: Cell Complexes
Roughly speaking, Combinatorial complexes play a similar role in the discrete world as differentiable manifolds in the smooth world. They are able to capture the “intrinsic” properties of a geometric object, i.e. those properties that are independent of any embedding … Continue reading
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Scenes with White Background
In a scientific context a very common task is to prepare figures for manuscripts. In most cases the objects in the foreground are the sole focus of attention, and in such cases it is desirable that the figure should blend naturally with … Continue reading
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Simple Ambient Scenes
Visual perception is always slightly irritated when it is confronted with understanding objects that are just floating in empty space, with no clues concerning the surrounding environment. For this reason the slight gradient in Houdinis Scene View is already helpful: The … Continue reading
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Visualizing Discrete Geometry with Houdini II
Let us now work on the visualization of edges and points. In case you worry that your screen looks slightly different from the pictures we show: For the pictures we already applied the White Porcelain material as explained in the … Continue reading
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Rendering and Working with Cameras
Before rendering it is always convenient to create a dedicated camera for this purpose. You do this by choosing New Camera from the yellow menu in the upper right corner of the Scene View. After this, you will see a … Continue reading
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Visualizing Discrete Geometry with Houdini I
This post is also meant as a first introduction to using Houdini. In most applications discrete curves and surfaces are used as approximate descriptions of smooth objects. This situation is close in spirit to Numerical Analysis where the discrete objects would … Continue reading
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Using Houdini on MacBooks
On Notebooks that are not totally ancient and run Windows or Linux, Houdini works fine. On those Macs that feature a non-Intel graphics chip, Houdini runs excellently. The only problem are Macs with Intel graphics. Here (probably due to the lack … Continue reading
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