Karčiauskas Kęstutis, Peters Jörg
Vilnius University.
University of Florida.
Comput Aided Geom Des. 2020 Nov;83. doi: 10.1016/j.cagd.2020.101934. Epub 2020 Sep 25.
A mesh is locally quad-dominant (lqd) if all non-4-sided facets are surrounded by quadrilaterals. Lqd meshes allow for irregular nodes where ≠ 4 quads meet and for multi-sided facets, called T-gons, that end quad-strips and so adjust mesh density. This paper introduces a new class of bi-cubic (bi-3) Geometric T-joint (GT) splines whose control nets are -nets, i.e. T-gons surrounded by quads. These GT-splines join smoothly with each other, bi-3 G-splines and regular bi-quadratic splines to form smooth surfaces of degree at most bi-3.
如果所有非四边形小平面都被四边形包围，则该网格是局部四边形主导（lqd）的。lqd网格允许在4个四边形不相交的地方有不规则节点，并且允许有多边形小平面（称为T形多边形），这些多边形终止四边形条带，从而调整网格密度。本文介绍了一类新的双三次（bi-3）几何T型接头（GT）样条，其控制网是 -网，即被四边形包围的T形多边形。这些GT样条彼此之间、与双三次G样条和常规双二次样条平滑连接，以形成最高为双三次的光滑曲面。
