It covers many new fields , such as computer science , computing mathematics , computing geometry , computer graphics and intelligence 它涉及計算機科學、計算數學、計算幾何、計算機圖形學和人工智能等新的學科領域。
First , the geometric properties of the sum of the segments in the complex plane are proved , based on which , the robust problem is interpreted as a special point location problem of computing geometry -穩定性問題。證明了在復平面上多個線段和的幾何性質。在此基礎上,將魯棒問題轉化為計算幾何中的點定位問題。
Relying on the theorem of graham , the sample points are realized the minimal convex hull which computational complexity is o ( nlogn ) . last a new feature extraction - convex - body segmentation and approximation of scattered sample for non - linear classification based on the knowledge of computing geometry and discrete mathematics is presented . new algorithm guarantees that every convex hull is unintersectant . both convex hull between the same classes and convex hull between the different classes are unintersectant 在此基礎上,借助計算幾何和離散數學等相關知識,為非線性分類問題中的特征提取提出新的思路-散亂樣本凸體分割與逼近算法,算法保證了兩類樣本形成的凸包兩兩互不相交,即同類樣本之間、同類和異類之間形成的凸包互不相交,并且凸包數量逼近最少,為非線性分類提供了新的研究思路。
Visualization in scientific computing ( visc ) is one of the new applications of computer technology . visc is an combination of computer graphics , image manipulation , computer vision , cad , computing geometry , user interface and etc . this dissertation mainly associates ultrasonic ndt with visc technology 科學計算可視化技術是計算機圖形學的一個新的應用領域,是計算機圖形學、圖像信息處理、計算機視覺、計算機輔助設計、計算幾何以及用戶接口等多學科、多領域的交叉。