SURFACE COMPRESSION WITH HIERARCHICAL POWELL–SABIN B-SPLINES

Surface Compression with Hierarchical Powell-Sabin B-splines

We show how to construct a stable hierarchical basis for piecewise quadratic C continuous splines defined on Powell–Sabin triangulations. We prove that this hierarchical basis is well suited for compressing surfaces. Our compression method does not require the construction of wavelets which are usually expensive to compute, but instead we construct a stable quasi-interpolation scheme for our sp...

Multiresolution Surface Reconstruction for Hierarchical B-splines

This paper presents a method for automatically generating a hierarchical B-spline surface from an initial set of control points. Given an existing mesh of control points , a mesh with half the resolution , is constructed by simultaneously approximating the finer mesh while minimizing a smoothness constraint using weighted least squares. Curvature measures of are used to identify features that n...

Deformation With Hierarchical B-Splines

Deformation has received wide attention in the eld of Computer Graphics, Computer Vision and Image Processing. This paper describes a new method which is based on the concept of hierarchical BSplines. Compared with existing methods, our approach is adaptive in that it puts more e ort in complex regions which need more attention. It also provides an elegent tool for curve or surface matching tog...

Finite Element Approximation with Hierarchical B-Splines

Conversion between T-Splines and Hierarchical B-Splines

T-splines is a recently developed surface modelling technique which is a generalization of B-splines and allows true local refinement. Another well established method supporting local refinement is hierarchical B-splines. This paper presents algorithms for transformation between T-splines and hierarchical (rational) B-splines. With the transformation, a surface expressed in terms of T-splines c...