In this paper a two-variable Minkowski projecting mapping in R~3 will be generalized to n-variable Minkowski projecting smooth immersion as :M→R~(n+1) basing on a fixed point p and n-dimension hypersurface smooth M in R~(n+1)(n≥2).
将R3中2元Minkowski投影映射推广为Rn+1(n≥2)中定点p关于n维光滑超曲面M到Rn+1的Minkowski投影浸入:M→Rn+1,得到n元Minkowski支撑函数φ(u1,u2,…,un)=‖P(u1,u2,…,un)+y0αPα-p‖,并证明当φ(u1,u2,…,un)在M和p(M)的共同临界点x0处不为零,且(bαβ)x0非奇异时,M和p(M)在x0处有共同的切空间Tx0M。
Minkowski projecting mapping Φ:M~2R~3 is confirmed as a mapping smoothly and continuously based on the expression.
由Minkowski投影映射Φ:M2R3的表达式知Φ是连续且光滑的映射;进一步推证得出当M2是R3中2维紧致凸流形和每一点x处rankxΦ=2时,(Φ,M2)是M2到R3中的2维光滑浸入,而且Φ(M2)是R3中的嵌入紧子流形。
Quick and accurate rendering effects could be achieved by projective texturing based on programmable graphics hardware.
系统利用流体物理方程支配SPH运动规律,以少量粒子描述烟气运动的轨迹信息;通过在可编程GPU上采取投影纹理映射技术,进行快速、准确的绘制。
A note on 1-dimensional projective mappings;
关于一维射影映射的一个注记
This paper presents the two conditions:Sufficient condition and necessary condition for the links of perspective mapping and projective mapping.
本文给出了射影映射为透视映射的两个充要条件 ,这两个充要条件与射影变换为对合的充要条件是一致
Some Properties on Minkowski Projecting Mapping in R~(n+1);
关于Minkowski投影映射在R~(n+1)中的一些性质
The Sufficient Condition on Minkowski Projecting Mapping′s Immersion into R~3;
关于Minkowski投影映射在R~3中浸入的充分条件
A research on equivalence between projection mapping and conditional expectation in L~2(Ω,F,P) space
关于L~2(Ω,F,P)空间上投影映射与条件数学期望的等价性研究
opaque projector
不透明体投影器;投射式放映机;投影仪;反射幻灯机;反射式放映机
A machine for projecting an image onto a screen.
放映机把影像投射到屏幕上的机器
Real-time soft shadow mapping algorithm using backprojection
利用反向投影实现的实时软阴影映射算法
The M-J Sets of Compound Complex Map and Projective Synchronization of a Class of Chaos System;
复合复映射M-J集和一类混沌系统的投影同步
Local Sphere Texture Mapping Technique Based On Stereoscopic Projection Algorithm
基于立体投影算法的局部球面纹理映射技术
projecting camera
投影机,(幻灯)放映机
Connotation of Chinese Imagery Projecting and Synchronic Projec tion Mappings;
论“意象独照”与共时性投射映现之内涵
We make use of a mapping known as stereographic projection.
我们作一个称为球极平面射影的映射。
Conformal and Projective Changes of Finsler Space;
Finsler空间的射影与共形映射
On Conformal Transformations in Projectively flat Finsler space;
射影平坦Finsler空间的共形映射
That I should make much of myself and turn it on all sides, hus casting coloured shadows on thy radiance -- such is thy maya.
我应当自己发扬光大、四周放射、投映彩影于你的光辉之中——这便是你的幻境。
A projection is defined as any orderly system whereby the meridians and parallels of the spheroid may be represented on a plane.
投影是一种有规律的方法,用来把椭球面上的子午圈和平行圈映射在一个平面上。
Television utilizes the cinematographic projection principle.
电视应用了放映电影的投影原理。
Linguistic World Vision and Conceptual World Vision:Projecting and Mapping
语言世界图景和概念世界图景:投射与映现
Improved Shadow Mapping Based on GPU
一种基于GPU的阴影映射改进算法
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