Abstract
For many design applications, where multiple primary surface pieces meet, the distribution of curvature is more important than formally achieving exact curvature continuity. For parametric spline surfaces, when constructing a multi-sided surface cap, we demonstrate a strong link between the uniform variation of the re-parameterization between (boundary) data of the joining pieces and a desirable distribution of curvature. We illustrate this interdependence between parameterization quality and surface quality by developing a G1 bi-quintic surface cap consisting of n pieces that smoothly fills holes in a piecewise bi-cubic tensor-product spline complex. These bi-5 surface caps have arguably better shape than higher-degree, formally curvature continuous alternatives.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have