RBF-based constrained texture mapping

TL;DR: This method first project the surface of a 3D model on a planar domain by an angle-based-flattening technique and performs a parametrization, and the energy minimization characteristic of the harmonic map reduces the potential distortion that may result in the constrained texture mapping.

TL;DR: This paper proposes a scheme that improves on the quality by specifying a tradeoff between fidelity to the data and robustness to the noise and resorts to variational principles, which allow us to impose smoothness constraints on the model for tackling noisy data.

TL;DR: The proposed method can reparameterize 2D embedding into a foldover-free 2D mesh, satisfying a set of user-specified constraint points, and generating smooth texture mapping results is possible without extra smoothing optimization.

TL;DR: This work presents a texture mapping method guided by importance map to preserve the shape of the prominent content as an importance-value-weighted parameterization to demonstrate the content-aware effect by comparison to traditional parameterization.

TL;DR: It is shown that the RBF representation has advantages for mesh simplification and remeshing applications, and a greedy algorithm in the fitting process reduces the number of RBF centers required to represent a surface and results in significant compression and further computational advantages.

TL;DR: A family of semi-norms is defined, subject to some interpolating conditions, providing interpolation methods that preserve polynomials of degree≤m−1 and converge in Sobolev spaces Hm+s(Ω).

TL;DR: A method for overcoming the subdivision connectivity restriction, meaning that completely arbitrary meshes can now be converted to multiresolution form, is presented, based on the approximation of an arbitrary initial mesh M by a mesh MJ that has subdivision connectivity and is guaranteed to be within a specified tolerance.

TL;DR: A method for producing computer shaded pictures of curved surfaces using three-dimensional curved patches, which can be 'mapped' onto patches thus providing a means for putting texture on computer-generated pictures.