两个轴异面圆柱面的光滑拼接问题

两个轴异面圆柱面的光滑拼接问题

白根柱¹, 展丙军², 雷娜³

1. 内蒙古民族大学数学与计算机科学学院, 内蒙古自治区通辽 028043;2. 大庆师范学院数学系, 黑龙江省大庆 163712; 3. 吉林大学数学学院, 长春 130012

收稿日期:2006-03-14 修回日期:1900-01-01 出版日期:2007-03-26 发布日期:2007-03-26
通讯作者: 雷娜

Blending of Two Cylinders with Axes in Different Planes

BAI Genzhu¹, ZHAN Bingjun², LEI Na³

1. College of Mathematics and Computer Science, Inner Mongolia University for Nationnalities, Tongliao 028043, Inner Mongolia Autonomous Region, China; 2. Department of Mathematics, Daqing Normal College, Daqing 163712, Heilongjiang Province, China; 3. College of Mathematics, Jilin University, Changchun 130012, China

Received:2006-03-14 Revised:1900-01-01 Online:2007-03-26 Published:2007-03-26
Contact: LEI Na

摘要/Abstract

摘要： 讨论了两个轴线异面的圆柱面，当拼接边界为与圆柱面轴线垂直的平面所截出的圆周曲线时，存在三次GC¹拼接曲面的充要条件. 当异面轴线之间的距离为零，即退化为轴线相交时，所得条件为两个轴线共面的圆柱面存在三次GC¹拼接曲面的条件.

关键词: 异面轴圆柱面, 拼接曲面, 几何连续性

Abstract: For the two given cylinders whose axes are non-coplanar and the two planes that are perpendicular to the corresponding axes, we presented the sufficient and necessary condition for the existence of the cubic GC ¹ blending surface. When the distance between the two axes is zero, that is, the axes intersect each other, the condition is coincident with the condition for the existence of the cubic GC¹ blending surface of the two cylinders whose axes are coplanar.

Key words: noncoplanar cylinders, blending surfaces, geometric continuity

中图分类号:

O187.1

白根柱, 展丙军, 雷娜. 两个轴异面圆柱面的光滑拼接问题[J]. J4, 2007, 45(02): 216-218.

BAI Genzhu, ZHAN Bingjun, LEI Na. Blending of Two Cylinders with Axes in Different Planes[J]. J4, 2007, 45(02): 216-218.