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提出了一种新的精确计算包含奇异顶点的CatmullClark细分曲面能量的方法.通过把CatmullClark细分曲面片转化成双3次B样条曲面片,导出了任意拓扑结构的细分曲面完整的能量计算公式.该方法不需要对细分曲面进行递归细分,就能计算出细分曲面的膜能量和薄板能量,与现有方法相比,该方法能快速准确地计算出细分曲面的能量.曲面光顺实例表明,用该方法计算细分曲面能量高效可行.
A new method for accurately calculating the energy of CatmullClark subdivision surfaces containing singular vertices is proposed. By deriving the CatmullClark subdivision surface into bicubic B-spline patches, the complete energy of the subdivision surface with any topology is derived Which can calculate the energy of the membrane and the sheet energy of the subdivision surface without recursive subdivision of the subdivision surface, which can quickly and accurately calculate the energy of the subdivision surface compared with the existing methods The example of smooth surface shows that it is efficient and feasible to calculate the energy of subdivision surface by this method.