細分曲面 的英文怎麼說
中文拼音 [xìfēnqūmiàn]
細分曲面
英文
subdivision surfaces- 細 : 形容詞1 (條狀物橫剖面小) thin; slender 2 (顆粒小) in small particles; fine 3 (音量小) thin ...
- 分 : 分Ⅰ名詞1. (成分) component 2. (職責和權利的限度) what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] (料想) judge
- 曲 : 曲名詞1 (一種韻文形式) qu a type of verse for singing which emerged in the southern song and ji...
- 面 : Ⅰ名詞1 (頭的前部; 臉) face 2 (物體的表面) surface; top 3 (外露的一層或正面) outside; the ri...
- 細分 : detailed final sorting
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The problems include catmull - clark subdivision surfaces ca n ' t precisely represent standard conicoid except paraboloid, and it ca n ' t modify the shape of limited surfaces when the original control mesh be given
如: catmull - clark細分曲面無法精確表示除拋物面外的常規二次曲面;在給定初始控制網格的情況下,難以調整所生成曲面的形狀等。Some typical schemes are implemented via this data structure ( loop subdivision, catmull - clark subdivision, do - sabin subdivision, hybrid subdivision, adaptive subdivision ). the technique of opengl is utilized to accomplish some basic operations, such as rotation, zoom, pan, pick and so on. finally the algorithms studied by our research group are integrated, and a prototype system based on subdivision surface is developed
( 4 )改進了適合於曲面細分的的翼邊數據結構,並實現了典型的細分演算法( loop細分、 catmullclark細分、 doo - sabin細分、混合細分、自適應細分) ;採用opengl技術實現了旋轉、縮放、平移、拾取等圖形的基本幾何操作;最後將本課題組研究成果加以集成,開發了一個基於細分曲面的原型系統。And when adjusting parameter t, a family of subdivision surfaces can be constructed. the algorithm is explained in detail
並將該演算法推廣到任意拓撲結構上,使得catmull - clark細分曲面可調。Instead of the shape parameter a in c - b - splines, cosa, that is ck here, is used for the c - b - splines, and the definition interval of ck is extended to [ - 1, ) for the construction of catmull - clark subdivision surfaces
而且,用它作為catmull - clark細分的前置處理,效果良好。 2 )針對c - b樣條細分曲面形狀的調節范圍有限。So we present a new method of subdivision surface modeling. this method not only maintains the intrinsic property of catmull - clark subdivision surface, but also makes this kind of surface have a new function of interpolating multi - predefined b - spline curves. it overcomes some limitation of catmull - clark subdivision scheme and widens its application range, which brings subdivision surfaces from animation design and artistic modeling to mechanical products design
因此,作者給出了一類新的細分曲面造型方法,該方法保持了catmull - clark細分曲面的原功能,但增加了插值若干條已知b樣條曲線的新功能,克服了catmull - clark細分方法的局限,拓寬了catmull - clark細分方法的應用范圍,為細分曲面從動畫製作和藝術造型走向機械產品設計的應用闖出了新路。The main contents include the construction of subdivision surfaces satisfying the constrain of curves interpolation based on catmull - clark subdivision scheme, the interpolated curves are uniform b - spline ; the construction of subdivision surfaces interpolating nurbs curves based on non - uniform rational catmull - clark ( nurcc ) subdivision scheme ; generation of sharp features on subdivision surfaces ; application of subdivision surfaces in the traditional surface design method - skinning
其內容主要包括:基於catmull - clark細分演算法構造滿足曲線插值約束的細分曲面的方法,被插值曲線為均勻b樣條曲線;基於非均勻有理catmull - clark細分演算法構造能夠插值nurbs曲線的細分曲面的方法;細分曲面上尖銳特徵的生成方法;細分方法在曲面設計的傳統方法?蒙皮法?中的應用等。Novel method for exactly evaluating the energy of catmull
細分曲面能量精確分析方法This paper deals with loop subdivision and its extension, the main work is as follows : ( 1 ) loop subdivision scheme and its extension are implemented via the wing - edged structure, then subdivision theory is introduced together with some important conclusions in exact computation
本文主要對loop細分曲面及其擴展進行了研究,內容包括: ( 1 )首先採用翼邊結構對loop細分演算法及其擴展進行了實現,然後對細分曲線曲面理論和精確計算方面的重要結論作了研究。Because the curvature of surface itself may vary in a large domain, it induces an upper limit of feasible offset distance. the author proposed a method to estimate the offset distance
由於曲面本身曲率變化,導致曲面可等距距離存在一個上限,本文通過對細分曲面進行分析,給出了一種細分曲面可等距距離的估計演算法。Offset error, which is a basic problem in subdivision surface, is also presented in the paper
作為細分曲面等距的一個基本問題,本文還對等距曲面誤差進行了分析。Basing on nurcc scheme we can construct surfaces that can interpolate nurbs curves and have different local continuous order. our method enables subdivision surfaces to be used in the field of complex shape design of industry products
利用非均勻的catmull一clark細分方法,我們可以構造能夠插值若干條nurbs曲線、且具有不同的局部連續階的細分曲面,使得細分曲面走向各種復雜工業產品造型設計的應用領域成為可能The general idea behind the second one is approximation. the control mesh is subdivided until the error between the control vertices and corresponding subdivision surface is less than a given threshold. then the vertices substitute those points on the surface approximately. the last step is to calculate offset point for every vertex and connect them to form an offset surface
第二種演算法採用逼近思想,首先通過對控制網格進行細分,當控制頂點和細分曲面的距離滿足一定誤差要求時,近似用控制頂點代替細分曲面上的點,然後對各個頂點分別求等距點。There are commonness and individuality between subdivision surface and spline surface, based on the research of the algorithm of nc tool path generation for spline surface, used in conjunction with subdivision property, two methods : cross - section method and projecting method are put forward. ( 4 ) subdivision surface is quite adaptive to arbitrary topology, so the subdivision surface reconstruction techniques has also received much attention
細分曲面和樣條曲面既具有共性,又各有個性,本文通過對樣條曲面數控加工刀軌生成演算法進行研究,同時根據細分曲面本身具有的特性,給出了採用截平面法和投影法生成細分曲面數控加工刀軌的演算法。Along with the great progress in 3d data measurement device and the popularization of complex surface modeling, recursive subdivision has been a research focus in the world over the past 20 years in computer aided geometric design and computer graphics
近二十年來,隨著三維數據采樣設備的長足進步與復雜拓撲結構的曲面造型日益普及,細分曲面已成為計算機輔助幾何設計( cagd )和計算機圖形學( cg )領域內的一個國際性研究熱點。We have advanced the principle that the sum of the smallest internal angles is the maximum in the part of using the imitated uniformity subdivision method to finish surface reconstruction. we take full advantage of uniform catmull - clark subdivision surface method and non - uniform catmull - clark subdivision surface method, in the chapter using the imitate uniformity subdivision method to finish surface reconstruction
我們在充分利用均勻catmull - clark細分曲面方法與非均勻catmull - clark細分曲面方法優點的基礎上提出「擬均勻細分曲面方法進行曲面重構」方法,並且提出了最小內角之和最大的原則,作為非均勻細分到均勻細分的過渡的判定準則。This paper mainly studies the algorithm of three - dimensions model surface reconstruction from two aspects, one of which is the method - research on algorithm of three dimensions model surface reconstruction based on scatter data points based on triangulation, the other method - using the imitate uniformity subdivision method to finish surface reconstruction based on the region of rectangle
本論文主要從兩方面來進行三維表面重構演算法的研究,一種是基於三角網格的形式的劃分方法為基礎,提出來的「基於散亂數據三維表面重構演算法的研究」 ,另一種是基於矩形域上而提出來的「擬均勻細分曲面方法進行曲面重構」 。Surface reconstruction method using 4 - point interpolatory subdivision surface is produced according to request of surface fea in this thesis. 3. algorithm design of surface reconstruction based on fea algorithm was designed according to surface reconstruction method in the thesis
( 3 )基於有限元分析的曲面重構演算法設計根據論文提出的離散數據點的曲面重構方法,設計了採用四點插值細分曲面網格點的曲面重構演算法。From the angle of mesh topology, we present a method of sharp features generation on subdivision surfaces. by topology modification of the n
這都將對細分曲面在曲面造型領域的發展起到很好的推動作用Just in order to change the puzzle and passive situation mentioned above, we are devoted to the applied research of the generation of subdivision surfaces that can interpolate multiple given curves and possess sharp features, and its application in the field of surface modeling and surface design. this paper summarizes our theoretical research results and algorithms that have high actual practicable values
正是為了改變這種困惑與被動的局面,本文作者致力於能插值一系列給定曲線並產生尖銳特徵的細分曲面生成原理及其在曲面造型設計中的應用性研究,取得了富有實際應用價值的理論成果及演算法,本文就是這一研究的總結。Recently, the subdivision methods have become an important research item in international computer graphics. especially, the catmull - clark subdivision surfaces had achieved great success in computer animation and geometric modeling
近年來細分方法已成為國際圖形學領域的一項重要研究內容,尤其是catmull - clark細分曲面在計算機動畫和幾何造型方面取得了極大的成功。分享友人