Computing all parametric solutions for blending parametric surfaces

Parametric Motion Blending through Wavelet Analysis

This paper shows how multiresolution blending can be employed with time-warping for realistic parametric motion generation from pre-stored motion data. The goal is to allow the animator to define the desired motion using its natural parameters such as speed. Generation of a realistic motion is achieved using pre-stored captured animations. Analysis has been carried out to investigate the relati...

Computing Parametric Geometric Resolutions

Computing Parametric Motion Fields

Normal Flow Let~ı and ~ be the unit vectors in the x and y directions, respectively; δ~r =~ıδx+~δy is the projected displacement field at the point ~r = x~ı + y~. If we choose a unit direction vector ~nr = nx~ı + ny~ at the image point ~r and call it the normal direction, then the normal displacement field at ~r is δ~rn = (δ~r ·~nr)~nr = (nxδx+nyδy)~nr. The normal direction ~nr can be chose...

Algorithm for implicitizing rational parametric surfaces

Many current geometric modeling systems use the rational parametric form to represent surfaces. Although the parametric representation is useful for tracing, rendering and surface tting, many operations like surface intersection desire one of the surfaces to be represented implicitly. Moreover, the implicit representation can be used for testing whether a point lies on the surface boundary and ...

Multivariate Visualization on Parametric Surfaces

Attribute Blocks are the basis of a multivariate visualization scheme that has been shown to be effective for two-dimensional data sets such as those common in Geographical Information System (GIS) applications. In this paper, we present an extension of this technique into three dimensions. Specifically, we show how the variation of multiple attributes defined continuously across a parametric s...