Modeling n-Symmetry Vector Fields using Higher-Order Energies

Modeling n-Symmetry Vector Fields using Higher-Order Energies

Brandt, C. (TU Delft Comp Graphics & Visualisation)
Scandolo, L. (TU Delft Comp Graphics & Visualisation)
Eisemann, E. (TU Delft Comp Graphics & Visualisation)
Hildebrandt, K.A. (TU Delft Comp Graphics & Visualisation)

2018

We introduce a variational approach for modeling n-symmetry vector and direction fields on surfaces that supports interpolation and alignment constraints, placing singularities and local editing, while providing real-time responses. The approach is based on novel biharmonic and m-harmonic energies for n-fields on surface meshes and the integration of hard constraints to the resulting optimization problems. Real-time computation rates are achieved by a model reduction approach employing a Fourier-like n-vector field decomposition, which associates frequencies and modes to n-vector fields on surfaces. To demonstrate the benefits of the proposed n-field modeling approach, we use it for controlling stroke directions in line-art drawings of surfaces and for the modeling of anisotropic BRDFs, which define the reflection behavior of surfaces.

Anisotropic BRDFs
Direction fields
Model reduction
Non-photorealistic rendering
RoSy-fields
Spectral methods
Vector field design

http://resolver.tudelft.nl/uuid:19de4ca9-8a16-46a6-82eb-17fda9d40f37

https://doi.org/10.1145/3177750

0730-0301

ACM Transactions on Graphics, 37 (2), 1-18

Institutional Repository

journal article

© 2018 C. Brandt, L. Scandolo, E. Eisemann, K.A. Hildebrandt