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 …

In this work we present a new construction of basis functions that generate the space of
geometrically smooth splines on an unstructured quadrilateral mesh. The basis is …

We present a novel family of C 1 quadrilateral finite elements, which define global C 1
spaces over a general quadrilateral mesh with vertices of arbitrary valency. The elements …

Triangular Bezier patches are an important tool for defining smooth surfaces over arbitrary
triangular meshes. The previously introduced 4-split method interpolates the vertices of a 2 …

Transforming an arbitrary mesh into a smooth G 1 surface has been the subject of intensive
research works. To get a visual pleasing shape without any imperfection even in the …

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

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 …

Polyhedral meshes consisting of triangles, quads, and pentagons and polar configurations
cover all major sampling and modeling scenarios. We give an algorithm for efficient local …

In this paper we introduce a C 1 spline space over mixed meshes composed of triangles and
quadrilaterals, suitable for FEM-based or isogeometric analysis. In this context, a mesh is …

Recently, a new bivariate simplex spline scheme based on Delaunay configuration has
been introduced into the geometric computing community, and it defines a complete spline …