为了增强模型渲染的真实感,本文使用曲面点-法线(PN)三角形或四边形(原理与三角形类似)来细化和调整输入模型中的三角形或四边形面片,从而实现棱角的柔和化。在GPU(图形处理器)管线和图形库(如Direct X 10和11)支持细分的前提下,该技术...为了增强模型渲染的真实感,本文使用曲面点-法线(PN)三角形或四边形(原理与三角形类似)来细化和调整输入模型中的三角形或四边形面片,从而实现棱角的柔和化。在GPU(图形处理器)管线和图形库(如Direct X 10和11)支持细分的前提下,该技术能适用于现有的渲染管道结构,并且对建模工具也没有特别的要求,仅基于顶点位置和法线信息便可渲染出圆润的轮廓,同时使用自适应细节层次(Lo D)技术,提高了渲染的效率,再加上法线贴图和置换贴图的应用,可渲染出外形贴近真实且更具质感的效果,因而具有一定的实用价值。展开更多
Using polar equations for conic sections, we research conic circumscribed n-sided polygons（n ≥ 4） deeply on the basis of papers[1-3]. We obtain a general fixed value theorem for directed areas of some triangles in ...Using polar equations for conic sections, we research conic circumscribed n-sided polygons（n ≥ 4） deeply on the basis of papers[1-3]. We obtain a general fixed value theorem for directed areas of some triangles in conic circumscribed n-sided polygons and derive as many as n（n - 3） concurrent points of three lines and some other collinear, equiareal results in conic circumscribed n-sided polygons（n ≥ 4）. So the results of papers[1-3] are unified.展开更多
An improved algorithm of Delaunay triangulation is proposed by expanding the scope from a convex polygon to an arbitrary polygon area in which holes can be contained in the subdivision procedure. The data structure of...An improved algorithm of Delaunay triangulation is proposed by expanding the scope from a convex polygon to an arbitrary polygon area in which holes can be contained in the subdivision procedure. The data structure of generated triangles and the exuviationslike method play a key role, and a single connectivity domain (SCD) without holes is constructed as the initial part of the algorithm. Meanwhile, some examples show that the method can be applied to the triangulation of the trimmed NURBS surface. The result of surface tessellation can be used in many applications such as NC machining, finite element analysis, rendering and mechanism interference detection.展开更多
文摘为了增强模型渲染的真实感,本文使用曲面点-法线(PN)三角形或四边形(原理与三角形类似)来细化和调整输入模型中的三角形或四边形面片,从而实现棱角的柔和化。在GPU(图形处理器)管线和图形库(如Direct X 10和11)支持细分的前提下,该技术能适用于现有的渲染管道结构,并且对建模工具也没有特别的要求,仅基于顶点位置和法线信息便可渲染出圆润的轮廓,同时使用自适应细节层次(Lo D)技术,提高了渲染的效率,再加上法线贴图和置换贴图的应用,可渲染出外形贴近真实且更具质感的效果,因而具有一定的实用价值。
基金Foundation item： Supported by Natural Science Foundation of China（60675022）
文摘Using polar equations for conic sections, we research conic circumscribed n-sided polygons（n ≥ 4） deeply on the basis of papers[1-3]. We obtain a general fixed value theorem for directed areas of some triangles in conic circumscribed n-sided polygons and derive as many as n（n - 3） concurrent points of three lines and some other collinear, equiareal results in conic circumscribed n-sided polygons（n ≥ 4）. So the results of papers[1-3] are unified.
文摘An improved algorithm of Delaunay triangulation is proposed by expanding the scope from a convex polygon to an arbitrary polygon area in which holes can be contained in the subdivision procedure. The data structure of generated triangles and the exuviationslike method play a key role, and a single connectivity domain (SCD) without holes is constructed as the initial part of the algorithm. Meanwhile, some examples show that the method can be applied to the triangulation of the trimmed NURBS surface. The result of surface tessellation can be used in many applications such as NC machining, finite element analysis, rendering and mechanism interference detection.
