摘要
为了解决三维造型中的曲面拼接问题,提出基于空间趋向曲线的网格曲面拼接方法.该方法有效地结合边界曲面的延伸信息,简单高效地构造光滑的过渡曲面;通过对两待拼接曲面边界点参数归一化,由参数聚类,建立曲面边界之间的匹配点对关系;在每对匹配点对之间构建由Bézier表征的空间趋向曲线,使空间曲线在对应点对上与待拼接曲面保持二阶连续;对空间趋向曲线族进行离散化和三角化,得到光滑的过渡曲面.结果表明,与其他传统方法比较,该方法在曲面拼接应用中具有高效可靠的优势.
To solve surface stitching problem in 3D modeling, we proposed a method of spatial-trend-curate based mesh surface stitching. The method effectively combined potential extension information of bounda- ry to simply and efficiently construct smooth transitional surface, the corresponding-point-pairs between two boundaries of the separated surface were matched by parametric normalization and clustering~ a spa- tial-trend-curve represented by B^zier-curve with second-order continuity was generated on each pair of cor- responding points~ a smooth transitional surface was finally obtained by sampling and skinning the spatial- trend-curves. Results shows that our method have the advantage of high efficiency and reliability compared with other traditional methods.
出处
《浙江大学学报(工学版)》
EI
CAS
CSCD
北大核心
2013年第11期2003-2009,2019,共8页
Journal of Zhejiang University:Engineering Science
基金
国家自然科学基金资助项目(60903145)
教育部博士点基金资助项目(20100101110025)
浙江省自然科学基金资助项目(LY13F020003)
中央高校基本科研业务费专项资金资助项目(2012QNA4003)
关键词
空间趋向曲线
网格曲面拼接
二阶连续
聚类
spatial-trend-curve
surface stitching
second-order continuity
clustering