A simple algorithm for surface interpolation is proposed. Its central idea is quadratic
interpolation of a curved segment from the position and normal vectors at the end points …

We introduce a robust and automatic algorithm to convert linear triangle meshes with feature
annotated into coarse tetrahedral meshes with curved elements. Our construction …

To reconstruct an object surface from a set of surface points, a fast, practical, and efficient
priority driven algorithm is presented. The key idea of the method is to consider the shape …

This paper develops the manifold T-splines, which naturally extend the concept and the
currently available algorithms/techniques of the popular planar tensor-product NURBS and …

Current terrain modelling algorithms are not capable of reconstructing 3D surfaces, but are
restricted to so-called 2.5 D surfaces: for one planimetric position only one height may exist …

Subdivision surfaces are generated by repeated approximation or interpolation from initial
control meshes. In this paper, two new non-linear subdivision schemes, face based …

High-order mesh optimization has many goals, such as improving smoothness, reducing
approximation error, and improving mesh quality. The previous methods do not optimize …

Estimating principal curvatures and principal directions of a smooth surface represented by
a triangular mesh is an important step in many CAD or graphics related tasks. This paper …

Computer-Aided Geometric Design modelers are now based on powerful mathematical
curve and surface models, but efficient tools to handle, analyze and modify these objects are …

Smooth parametric surfaces interpolating triangular meshes are very useful for modeling
surfaces of arbitrary topology. Several interpolants based on these kind of surfaces have …