Abstract
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.
Original language | English |
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Article number | 18 |
Pages (from-to) | 1-18 |
Number of pages | 18 |
Journal | ACM Transactions on Graphics |
Volume | 37 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2018 |
Keywords
- Anisotropic BRDFs
- Direction fields
- Model reduction
- Non-photorealistic rendering
- RoSy-fields
- Spectral methods
- Vector field design