图学学报
圖學學報
도학학보
Journal of Graphics
2015年
3期
319-330
,共12页
几何%几何计算%数计算%形计算
幾何%幾何計算%數計算%形計算
궤하%궤하계산%수계산%형계산
geometry%geometric computing%algebraic computing%graphic computing
提出一种几何问题几何化的形计算机制。它综合了几何、代数、画法几何及现代计算工具等理论、方法与技术，实现“三维思维，二维图解，一维计算”多维空间的融合。从更宏观的几何角度构筑算法框架，是对常规数计算的补充，可用于相当宽泛的一类几何计算。
提齣一種幾何問題幾何化的形計算機製。它綜閤瞭幾何、代數、畫法幾何及現代計算工具等理論、方法與技術，實現“三維思維，二維圖解，一維計算”多維空間的融閤。從更宏觀的幾何角度構築算法框架，是對常規數計算的補充，可用于相噹寬汎的一類幾何計算。
제출일충궤하문제궤하화적형계산궤제。타종합료궤하、대수、화법궤하급현대계산공구등이론、방법여기술，실현“삼유사유，이유도해，일유계산”다유공간적융합。종경굉관적궤하각도구축산법광가，시대상규수계산적보충，가용우상당관범적일류궤하계산。
Proposed a new computing mechanism called shape computing to treat a geometric problem in a geometric way. In this computing mechanism, theory and methods in geometry, algebra, descriptive geometry and modern computing tools are synthesized. A new paradigm of multi-dimensional integration is proposed, i.e. 3D thinking, 2D diagrams and linear computing. It is apt to build an algorithm framework in a macro geometric perspective. It will provide a much more efficient supplement to normal numeric computing to solve a very wide class of problems in geometric computation.
