| 朱建宁.直线与高精度细分曲面交点快速计算方法[J].,2013,53(3):376-381 |
| 直线与高精度细分曲面交点快速计算方法 |
| An efficient algorithm for computing intersection between line and high precision subdivision surface |
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| DOI：10.7511/dllgxb201303011 |
| 中文关键词: 直线与细分曲面求交 数据结构 分治策略 多级分割 |
| 英文关键词: line-subdivision surface intersection data structure divide and conquer strategy multi-segmentation |
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| 中文摘要: |
| 为解决直线与高精度细分曲面求交效率低和稳定性差的问题,利用细分曲面网格拓扑结构特性,研究直线与Catmull-Clark细分曲面求交的高效方法．首先,构造一个新的数据结构,实现Catmull\|Clark细分曲面的分片表示．然后,对每个细分曲面面片创建轴对称包围盒,结合包围盒干涉检测技术,快速排除不与直线相交的细分曲面面片,根据细分曲面面片网格拓扑结构特性,提出细分曲面面片多级分割技术．最后,通过一定级别的分割并结合轴对称包围盒干涉检测技术,快速锁定与直线相交的四边形面片并获得交点． |
| 英文摘要: |
| To solve the problem of inefficiency and poor stability in computing
intersection between line and high precision subdivision surface, an efficient method is
presented for computing intersection between line and Catmull-Clark subdivision surface by
utilizing topological characteristics of subdivision surface. Firstly, a new data structure
is constructed for piecewise representation of Catmull-Clark subdivision surface. Then, an
axis aligned bounding box (AABB) is created for each subdivision surface patch. Based on
AABB collision detection technology, subdivision surface patches non-intersecting the line
can be eliminated rapidly. Subdivision surface patch multi-segmentation technology is
presented on the basis of topological characteristics of subdivision surface patch. Lastly,
quadrilateral face intersecting the line can be determined and intersection point can be
obtained by combination of multi-segmentation and AABB collision detection technology. |
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