Abstract-We present the Hermite radial basis function (HRBF) implicits method to compute a global implicit function which interpolates scattered multivariate Hermite data (unstructured points and their corresponding normals). Differently from previous radial basis functions (RBF) approaches, HRBF implicits do not depend on offset points to ensure existence and uniqueness of its interpolant. Intrinsic properties of this method allow the computation of implicit surfaces rich in details, with irregularly spaced points even in the presence of close sheets. Comparisons to previous works show the effectiveness of our approach. Further, the theoretical background of HRBF implicits relies on results from generalized interpolation theory with RBFs, making possible powerful new variants of this method and establishing connections with previous efforts based on statistical learning theory.
In our approach, we use a new representation, Hermite radial basis function (HRBF) Implicits REF .
Hermite Interpolation of Implicit Surfaces with Radial Basis Functions
2009 XXII Brazilian Symposium on Computer Graphics and Image Processing
2009 XXII Brazilian Symposium on Computer Graphics and Image Processing
Mathematics Computer Science