Texture Mapping on NURBS Surface

Conformal Surface Parameterization for Texture Mapping

In this paper, we give an explicit method for mapping any simply connected surface onto the sphere in a manner which preserves angles. This technique relies on certain conformal mappings from differential geometry. Our method provides a new way to automatically assign texture coordinates to complex undulating surfaces. We demonstrate a finite element method that can be used to apply our mapping...

3D Surface Reconstruction Using Polynomial Texture Mapping

A lot of research has been conducted on 3D surface reconstruction using multiple images of fixed view point and varying lighting conditions. In this paper, a new image-based modeling technique based on Polynomial Texture Mapping (PTM) is presented. This technique allows automated reconstruction of highly detailed 3D texture-mapped models. The new technique addresses some of the shortcomings of ...

On Automatic Orthoprojection and Texture-mapping of 3d Surface Models

Photo-textured 3D surface models, and orthophotography in particular, are most important photogrammetric products, notably in heritage conservation. However, conventional software typically uses surface descriptions obtained via 2D triangulation; additionally, it cannot handle image visibility. Ignoring multiple elevations and image occlusions is clearly too restrictive for a complex surface sh...

NURBS approximation of surface/surface intersection curves

We use a combination of both symbolic and numerical techniques to construct a degree bounded C-continuous, rational B-spline -approximations of real algebraic surface-surface intersection curves. The algebraic surfaces could be either in implicit or rational parametric form. At singular points we use the classical Newton power series factorizations to determine the distinct branches of the spac...

Texture Mapping