等邊多邊形 的英文怎麼說
中文拼音 [děngbiānduōbiānxíng]
等邊多邊形
英文
equilateral polygon-
An equilateral triangle cannot be dissected into finitely many incongruent equilateral triangles.
等邊三角形不能分成有限多個不全等的等邊三角形。The surface structure of the seeds is cerebelloid, or nearly so in anisodus and hyoscyamus pusillus, and reticulate in all the remaining genera and species. the testa cells fall into two types in terms of their shape and pattern of the cell walls. in one type the testa cells are from polygonal to suborbicular in shape, isometric, with the cell walls being nearly straight, and in the other the testa cells are irregular in shape, often not isometric, with the cell walls being variously sinuate
外種皮細胞形狀和周壁式樣有兩大類,一類為多邊形至近圓形,等徑,周壁近平直,另一類為形狀不規則,常不等徑,周壁為各式波狀:外種皮細胞周壁內側有皺波狀、瘤狀、小顆粒、片狀或小刺等各式附屬物。Finally, the convexity - concavity of the closed curve is detected. in the end, choi ' s pair - wise offset of polygon algorithm is improv ed based on the proposed curve intersection algorithm
文章最後完善了choi多邊形等距偏移演算法,並把本文提出的封閉曲線求交方法應用其中,用於自交點的確定。The aim of this work is to have a better understanding of the structure, differentiation and phylogenetic relationship of the tribe hyoscyameae in the solanaceae using evidence from leaf epidermis, seed morphology, palynology, embryology, floral organogenesis, trnl - f and its sequences, and plant geography. the results are summarized as follows : 1. leaf epidermis leaf epidermis of 21 species in seven genera of the tribe hyoscyameae and four species in four related genera was investigated under both light microscope ( lm ) and scanning electron microscope ( sem )
解剖學在光學顯微鏡和掃描電鏡下,觀察了茄科天仙子族( hyoscyameae ) 7屬21種及鄰近4屬4種共25種植物的葉表皮特徵,結果表明:氣孔器在各種植物的上、下的表皮均有分佈,多為無規則型,也有不等細胞型;葉表皮細胞形狀有不規則形、十字形、近長圓形和不規則多邊形,垂周壁較平直或各種波狀。This paper discusses the polygon medial axis definition of gis and calculation geometry, and their main distinguishing feature, pointes out that the polygon medial axis should be the locu of the equal - distance points to two or more edges of the polygon ; analyzes the relevant different algorithm and cases in practice, and proposes the geometry means in theory relatively rigid and widely meeting the requirements in practice - dotted pair rank method and the map algebra polygon medial axis method, utilizes them to offer several polygon medial axis calculation examples
摘要比較了當前國內外gis中和計算幾何中關于多邊形中軸的定義,討論了它們的主要特點,指出多邊形中軸應是到兩個以上邊距離相等點的軌跡,並據此分析了相應的各種演算法和實際應用場合,提出了理論上較為嚴密、能夠廣泛滿足實際應用需要的幾何方法點對序列法和地圖代數多邊形中軸法。This thesis primarily makes below the work of a few aspects : ( 1 ) the method that measuring and solution of the control point ' s coordinate, calculation of the point, solution of intersection with polygons, and calculation the quantity of ore reserves in a drawing file by computer technology ; ( 2 ) the theory and the method to draw the diagram of the equivalent line by establishing the abnormal triangle net, and ore blending with the diagram of the equivalent degree ' s line ; ( 3 ) the principle and method to automatically divide the ore, and the method to adjust to the quantity of ore and search the ore ' s information ; ( 4 ) adoption the line program to beg to solve the problem to ore blending, and establish the linear programming model and the simplification model with ore blending. ( 5 ) establish the control model with ore degree based on modem control theories
本論文主要完成了以下幾方面的工作: ( 1 )利用計算機技術直接在一張現狀圖中,實現了控制點的測量與求解、坐標展點計算、多邊形求交以及爆堆礦巖量的計算; ( 2 )提出了通過建立非規則三角網的方法來繪制等值線圖的理論和實現方法,通過等品位線圖指導配礦工作; ( 3 )提出了配礦塊段自動劃分的原理和方法,並在此基礎上實現礦塊礦量調整和礦塊信息查詢; ( 4 )採用線性規劃的方法求解配礦問題,建立了配礦問題的線性規劃模型和簡化模型; ( 5 )建立了基於現代控制理論的品位控制模型。? to make the solid have realistic surface, we adopt advanced solid modeling method - constructive solid geometry. ? to free end - user from overwork, we presents and realizes many auto - processing algorithms, such as searching of inner - point, definition of polygon ' s counter - clockwise direction, as well as generation of numeric control codes. ? to checkout the collision and interference between cutter and part, we accomplish numeric control machining simulation, which can help end - user validate the correctness and rationality of numeric control codes, so it is needless that do repetitive test - cut before normal manufacture
正如將在後續章節中所講述的那樣,我們在系統中採用了許多先進的技術,其中主要包括以下幾點:採用分層設計思想,使三維物體的設計得到了簡化;採用先進的實體造型方法,使所建立的實體真實感強;實現了內點自動查找、多邊形方向自動定義等演算法,提高了系統的自動化水平;實現了刀具軌跡的自動生成、優化;實現了數控代碼的自動編寫,克服了手動編寫的缺點;實現了數控加工模擬,能檢驗數控代碼的正確性和合理性,並能自動檢測刀具與工件之間的干涉。In computation of swept volume approximation, an improved technique to generate the swept volume approximation for arbitrary meshes is presented by introducing generator simplification and path resample using frenet moving frames along the discreted sweeping trajectory. other steps, such as a directed distance field computation on a uniform grid based on the hardware accelerated computation technique and iso - surface extraction using marching cubes algorithm, are also included in this algorithm. in addition, the simplification scheme and smoothing technique are applied to the swept volume generated from iso - surface extraction
本文的主要貢獻在於:在掃描體逼近計算方面,在原有任意多邊形網格模型沿任意路徑運動生成掃描體逼近演算法的基礎上,提出了加入對掃描母體簡化的預處理和用活動標架對掃描路徑進行重采樣等過程,演算法的其它過程還包括:計算掃描體中幾何基元的排列,用硬體加速構造無符號的有向距離場,將無符號距離場轉化為有符號距離場,從有符號有向距離場提取等值面等。Any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent
各面都是正多邊形且多面體的角都相等的立體。Consisted of two twisted layers n - gons. theory 2 implies the sufficient and necessary conditions of c. c. consisted of nested tetrahedrons. theory 3 implies the sufficient and necessary conditions of c. c
在1995年, r . moechel和c . simo發現了:在中,由兩層大小可以不等,方向相同的正多邊形構成中心構型的充要條件。The algorithm has many advantages such as the input format and output format being uniformed, high efficient, wide application, etc. it has abroad market values in many domains, such as the weather character demonstration, computing and the demonstration of anomalous graphics, etc. we know that curves can be approached by mini line - segments, so the boolean operations between almost all regions can be implemented by this algorithm
本演算法具有輸入、輸出數據格式統一、效率高、應用面廣等優點。在實現天氣氣象圖的演示、各種不規則圖形的顯示和計算等領域具有很廣闊的市場前景。由於曲線邊界可以由小線段組成的多邊形來逼近,所以通過本演算法,我們還可以實現任何邊界區域間的布爾操作。Morphing is the continuous smooth and natural transformation of a source object into a target object, where the object can be a numerical image, curve, surface, mesh, etc. morphing has very wide use in many areas, such as computer graphics, animation design, industrial modeling, science computation visualization, film stunt, etc. this paper makes researches on the morph of compatible planar triangulations and that of planar polygons, and the main results are as follows : 1 ) morph of compatible planar triangulations : this paper presents a convexity - preserving method for morphing compatible planar triangulations with different convex boundaries
變形,是指從初始物體到目標物體的連續、光滑、自然的過渡(這里的物體可以是數字圖像、曲線、曲面、網格等) 。變形在許多領域有著十分廣泛的應用,如計算機圖形學、動畫設計、工業造型、科學計算可視化、電影特技等。本文對同構平面三角網格的變形和平面多邊形的變形進行了研究,主要的研究結果如下: 1 )同構平面三角網格的變形:提出了具有不同凸邊界的同構平面三角網格的保凸變形方法。A polygon whose angles are equal
等角多邊形各角都相等的多邊形The parametric speed of the curve is firstly approximated by the bezier polynomial which takes the lengths of control polygon ' s edges of the direction curve of normal as bezier coordinates. then the corresponding geometric offset approximation algorithm is given. moreover, an offset approximation with high precision is obtained by degree elevation of the direction curve of normal
首先利用以法矢方向曲線的控制多邊形邊長為b zier縱標的b zier多項式來逼近曲線的參數速度,給出了相應的幾何等距逼近演算法,進一步結合法矢方向曲線的升階獲得了高精度逼近This new basis provides properties analogous to berstein polynomials, including symmetry, zeros of the basis functions, positivity, normalization, etc. based on this new basis, we define a new kind of curves, to be called h - bezier curves, with control polygon
本文利用多項式混合雙曲形式在空間中構造了一組新的基,稱為h - b zier基,它具有類似於bernstein基的端點性質,零點階數,正性,正規性質,對稱性等性質進一步,文章通過控制多邊形的方式定義了h - b zier曲線The identification of polygonal fault is based on interpreting seismic profiles and their time slice
多邊形斷層系的識別主要通過時間切片分析和地震剖面解釋等手段進行。With the development of computer technology, computer graphics technology develops swift and violently. the clipping of graphics is the most basic contents in cg. it is a useful tool in algorithms about hiding line, hiding face and showing of third dimension graphic
隨著計算機技術的迅速發展,計算機圖形學技術得到迅猛發展,圖形的裁剪是計算機圖形學中最基本的內容之一,它在消除隱藏線、隱藏面及真實感圖形的顯示等演算法中是很有用的工具,以往對裁剪演算法的研究主要集中在裁剪直線和裁剪多邊形兩方面。The jade one presents rectangle, square, triangular, ladder - shaped, polygonal etc.
玉片呈長方形正方形三角形梯形多邊形等。Also, the algorithm about inner and outer point of polygon, the overlapping about polygons, the bumping region of polygon, the bumping zonal region of polygon and the least bumping distance of polygon are realized
實現了多邊形內外點的判定、多邊形重疊的判定、不規則件碰撞區域的確定、不規則件碰撞帶狀區域的確定和排樣中最小碰撞距離等相應的演算法。By constructing the list of vertices of polygon and intersecting points between polygon and rectangle, the list of vertices of rectangle and between polygon and rectangle, the list of incoming points and the list of outcoming points, the problem that how to confirm close clipped area edge is solved. at the same time, the second encoding technology is developed from line clipping to polygon clipping so that the speed of algorithm is increased
矩形窗口多邊形裁剪的改進演算法通過引入多交表、矩交表、入點表、出點表等線性鏈表,解決了如何確定一般多邊形在矩形窗口裁剪后封閉區域邊界問題,並把二次編碼技術由線裁剪拓展到多邊形裁剪中,對處于窗外的多邊形的邊可直接處理,提高了演算法的效率。分享友人