Parameterization Michael S . Floater
نویسنده
چکیده
Triangular meshes are often used to represent surfaces, at least initially, one reason being that meshes are relatively easy to generate from point cloud data. However, we often want a smoother surface representation, and hence the need arises to fit a smooth parametric surface through the vertices of the mesh. This requires making a suitable parameterization. Parameterizations are also useful for texture mapping and other processes in computer graphics. In this lecture we review some parameterization methods.
منابع مشابه
Parameterization of Manifold Triangulations
This paper proposes a straightforward method of parameterizing manifold triangulations where the parameter domain is a coarser triangulation of the same topology. The method partitions the given triangulation into triangular patches bounded by geodesic curves and parameterizes each patch individually. We apply the global parameterization to remeshing and wavelet decomposition.
متن کاملMeshless parameterization and surface reconstruction
This paper proposes a method called meshless parameterization for param eterizing and triangulating single patch unorganized point sets The points are mapped into a planar parameter domain by solving a sparse linear system By making a stan dard triangulation of the parameter points we obtain a corresponding triangulation of the original data set
متن کاملMeshless Parameterization and B-Spline Surface Approximation
This paper proposes a method for approximating unorganized points in lR 3 with smooth B-spline surfaces. The method involves: meshless parameteri-zation; triangulation; shape-preserving reparameterization; and least squares spline approximation.
متن کاملParameterization of Triangulations and Unorganized Points
A parameterization of a surface is a one-to-one mapping from a parameter domain to the surface. This paper studies the construction of piecewise linear parameterizations of triangulations and of discrete parameterizations of sets of unorganized points. Such parameterizations are useful tools for the approximation of triangulations by smoother surfaces as well as for the construction of triangul...
متن کاملSurface Parameterization: a Tutorial and Survey
This paper provides a tutorial and survey of methods for parameterizing surfaces with a view to applications in geometric modelling and computer graphics. We gather various concepts from differential geometry which are relevant to surface mapping and use them to understand the strengths and weaknesses of the many methods for parameterizing piecewise linear surfaces and their relationship to one...
متن کامل