期刊
ACM TRANSACTIONS ON GRAPHICS
卷 23, 期 3, 页码 284-293出版社
ASSOC COMPUTING MACHINERY
DOI: 10.1145/1015706.1015716
关键词
variational curve design; splines in manifolds; geometric optimization; motion design; obstacle avoidance
Variational interpolation in curved geometries has many applications, so there has always been demand for geometrically meaningful and efficiently computable splines in manifolds. We extend the definition of the familiar cubic spline curves and splines in tension, and we show how to compute these on parametric surfaces, level sets, triangle meshes, and point samples of surfaces. This list is more comprehensive than it looks, because it includes variational motion design for animation, and allows the treatment of obstacles via barrier surfaces. All these instances of the general concept are handled by the same geometric optimization algorithm, which minimizes an energy of curves on surfaces of arbitrary dimension and codimension.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据