4 papers
The Discrete Harmonic Center of a Quadrilateral
Marc Alexa
Triangulate a simple quadrilateral by connecting all vertices to an additional point. If the vertices carry values, the piecewise linear function can be assigned a Dirichlet energy…
Differentiable Voxelization of Surface Representations
Tobias Djuren, Ugo Finnendahl, Markus Worchel +2
Different shape representations facilitate different computations. Surface representations, in particular meshes, are often used for modeling, whereas volume representations are us…
As-Rigid-As-Possible Regularization for Implicit Surfaces
Tobias Djuren, Markus Worchel, Ugo Finnendahl +1
Implicit surface representations have regained popularity because of their use in machine learning. A common component in optimization is regularization, penalizing the deviation o…
Differentiable Shadow Mapping for Efficient Inverse Graphics
Markus Worchel, Marc Alexa
We show how shadows can be efficiently generated in differentiable rendering of triangle meshes. Our central observation is that pre-filtered shadow mapping, a technique for approx…