从正交三视图重建曲面相贯体  

Reconstruction of Interacting Curved Solids from Orthogonal Three Views

作　　者：傅自钢[1,2] 邹北骥[1] 陈义明[2] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083 [2]湖南农业大学信息科学技术学院,湖南长沙410128

出　　处：《小型微型计算机系统》2010年第9期1864-1868,共5页Journal of Chinese Computer Systems

基　　金：国家自然科学基金重大研究计划项目(90715043)资助;国家自然科学基金项目(60673093;60803024)资助;湖南省自然科学基金项目(07JJ3125)资助

摘　　要：二次曲面体相交时产生的相贯线一般是高次空间曲线,无法用二维投影精确地表达,工程实践中一般用通过几个关键点的拟合光滑曲线表达相贯线,甚至简化为圆弧,导致相交曲面体的轮廓投影被破坏.目前从二维正交视图重建三维形体的方法均要求基本形体的投影轮廓是完整和精确的,不能应用于实践中常见的相贯体.提出一种基于启发式线索的算法来处理相贯体的重建,应用相贯体的最小迹线恢复曲面相交之前的正确和完整的投影轮廓,进而正确地重建曲面相贯体.When two curved solids intersect with each other,their projection profiles are disturbed and the intersection lines arising from the intersecting quadric surfaces are mostly higher order spatial curves.The higher order spatial curves cannot be described exactly by 2D orthographic projections and normally approximated by smooth curves through several key points or just simplified as arcs or lines.The inexactness of projections of intersection lines results in the invalidation of all previous works on CSG-based approach.This paper presents an algorithm to reconstruct the correct volume of interacting curved solids by recovering the complete and correct half-profile of the interacting solid using the least trace left by the solid.

关 键 词：相贯体 相贯线 三维重建 正交视图 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]