计算机辅助设计与图形学学报
計算機輔助設計與圖形學學報
계산궤보조설계여도형학학보
Journal of Computer-Aided Design & Computer Graphics
2015年
9期
1625-1636
,共12页
李楠%肖克炎%阴江宁%范建福%王琨
李楠%肖剋炎%陰江寧%範建福%王琨
리남%초극염%음강저%범건복%왕곤
空间填充%曲面重构%曲面光滑%缓冲区分析%欧氏距离场
空間填充%麯麵重構%麯麵光滑%緩遲區分析%歐氏距離場
공간전충%곡면중구%곡면광활%완충구분석%구씨거리장
spatial tessellation%surface reconstruction%surface smooth%buffer analysis%Euclidean distance field
三维缓冲区分析是三维空间分析的基本功能之一, 也是三维地理信息系统的重要组成部分. 针对目前空间对象表面模型的缓冲区分析算法尚不完善的问题, 提出基于空间填充思想的三维缓冲区分析方法. 首先将表面模型离散化; 然后基于带符号的欧氏距离算法和缓冲距筛选体素; 再应用隐式曲面重构算法构建三维缓冲区参考曲面;最后从缓冲控制点和参考缓冲曲面出发, 计算得到光滑, 精确的缓冲区分析结果. 从方法复杂度、可视化效果、缓冲区等距性等方面将文中方法与栅格模型缓冲区方法进行对比的结果表明, 该方法具有较强的通用性与扩展性, 同时能够处理空间对象的内, 外缓冲区等复杂情况.
三維緩遲區分析是三維空間分析的基本功能之一, 也是三維地理信息繫統的重要組成部分. 針對目前空間對象錶麵模型的緩遲區分析算法尚不完善的問題, 提齣基于空間填充思想的三維緩遲區分析方法. 首先將錶麵模型離散化; 然後基于帶符號的歐氏距離算法和緩遲距篩選體素; 再應用隱式麯麵重構算法構建三維緩遲區參攷麯麵;最後從緩遲控製點和參攷緩遲麯麵齣髮, 計算得到光滑, 精確的緩遲區分析結果. 從方法複雜度、可視化效果、緩遲區等距性等方麵將文中方法與柵格模型緩遲區方法進行對比的結果錶明, 該方法具有較彊的通用性與擴展性, 同時能夠處理空間對象的內, 外緩遲區等複雜情況.
삼유완충구분석시삼유공간분석적기본공능지일, 야시삼유지리신식계통적중요조성부분. 침대목전공간대상표면모형적완충구분석산법상불완선적문제, 제출기우공간전충사상적삼유완충구분석방법. 수선장표면모형리산화; 연후기우대부호적구씨거리산법화완충거사선체소; 재응용은식곡면중구산법구건삼유완충구삼고곡면;최후종완충공제점화삼고완충곡면출발, 계산득도광활, 정학적완충구분석결과. 종방법복잡도、가시화효과、완충구등거성등방면장문중방법여책격모형완충구방법진행대비적결과표명, 해방법구유교강적통용성여확전성, 동시능구처리공간대상적내, 외완충구등복잡정황.
Three-dimensional Buffer Analysis is one of main functions of 3D spatial analysis, further, is one of important parts of 3D geographic information system (GIS). It should be improved for buffer analysis of bound-ary representation (B-rep) of spatial objects. This paper proposed a method of buffer analysis based on spatial tessellation. Today, buffers of B-rep always are presented by volumetric body, which are redundancy, lack of ac-curacy and poor visualization. For solving these problems, firstly, B-rep is voxelized to volume. Secondly, Signed Euclidean Distance is to select available voxels. Thirdly, Iso-surfaces are extracted by implicit algorithm. Fourthly, buffer surfaces are reconstructed by discrete smooth interpolation algorithm based on Buffer Points and Iso-surfaces. Finally, a group of tests were carried out for comparisons in aspects of time complexity, visualiza-tion and equidistance between paper's method and volume model. Furthermore, both inner and outer could be re-alized. As the above discussed, experiments show the method in this paper are universal and extended.