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代数几何

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An implicit Curve reconstruction method is proposed which represents the curve with all algebraic tensor-product B-spline,and minimizes the tension ofthe B-spline and the approximate geometric distance between the curve and the point set.

提出一种以代数张量积样条曲线作为几何表示形式,基于近似几何误差和薄板能量极小化的隐式重构模型。

The meaningful regions obtained by range image segmentation correspond to the surface patches of 3D object.The 3D surface patches are then reconstructed by the algebraic surface fitting method;the surface parameters are estimated by solving generalized eigenvector problem. The geometric model of 3D object is constructed from reconstructed surface patches by using CAD geometric modeling tool GEOMOD.

首先通过编码光栅方法获取三维物体的深度图象,并采用数学形态学的方法加以分割,然后利用代数曲面拟合手段对分割后的三维曲面片进行重建,并使用CAD几何建模工具由重建的曲面片构成物体的几何模型。

Because it emphasizes on algebraic method, geometric intuition are lose. Especially in the unit of conic section, although "the unity of geometrical material and algebraic symbol "is the teaching objective of text books, but according to the material of text books, it is difficult for students to arrive.

本文首先试著分析目前高中数学教科书中,对於几何部份的教材编写上,由於编写者的意识型态不同,理念不同,数学教师对教科书的诠释就会因此而有不同,因而造成目前高中几何教学著重在代数方程式上的一些问题。

Surface blending in terms of geometric continuous is more practical and welcome with view of geometric interpretation which is different to the traditional differential method based on algebra.

几何连续是对参数曲面中参数连续度量进一步深刻的认识和研究。它是可微性的代数概念的几何抽象,克服了参数连续对曲面苛刻,高阶及结果失真等缺点。

Conformal Geometric Algebra is a new tool for geometric representation and computation.

共形几何代数是一个新的几何表示和计算工具。

After introducing the basic knowledge of geometric algebra such as outer product,inner product and geometric product,this paper focused on the CGA description and computation with graphic reflection,rotation,translation,rigid body motion and screw motion,and gave the experimental demonstrations.

在简单介绍外积、内积和几何积等基本概念之后,重点论述了共形几何代数在图形反射、旋转、平移等变换和刚体运动、螺旋运动等方面的描述和计算方法,并给出了实验示例。

Four scores are reported for the ACT Mathematics Test: a total test score based on all 60 questions, a sub score in Pre-Algebra/Elementary Algebra based on 24 questions, a sub score in Intermediate Algebra/Coordinate Geometry based on 18 questions, and a sub score in Plane Geometry/Trigonometry based on 18 questions.

ACT 数学测试共包括4项成绩:基于全部60个问题的总分数,基于24个问题检测初等代数/初等数学的技能分数,基于18个问题检测中等代数/坐标几何的技能分数,以及基于18个问题检测平面几何/三角函数的技能分数。

The fourth had reading, writing, dictation and elementary arithmetic; the third, reading, grammar, arithmetic and geography; the second, reading and grammar, arithmetic, algebra through simple equations, and geography with map-drawing; and the first finished Loomis' Treatise on Algebra, studied four books of Loomis' Geometry, and parts of Swinton's Universal History and read selections from Addison.

第四班级授以阅读、写作、听写与初级算术,三班授以阅读、语法、算术与地理,二班为阅读、语法、算术、线性代数及绘图地理,一班则为卢米兹代数终论,卢米兹几何四部,史云顿寰宇历史,及阿狄森(Joseph Addison十八世纪英国著名作家)文选。

High School: Algebra, Geometry, Advanced Algebra, Trigonometry, Pre-Calculus conics and limits

高中:代数,几何,高等代数,三角学,微积分先修课二次曲线论和极限

High School: Algebra, Geometry, Advanced Algebra, Trigonometry, Pre-Calculus

高中:代数,几何,高等代数,三角学,?圆锥和极限

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