The proofs are based on differential geometry and geometric theory of ordinary differential equations and are constructive. The proof itself provides a possible way to uniquely recover the surface of a monocular-imaged object with the absence of regularization technique.
定理 的证明以微分几何和常微分方程几何理论为工具，其过程是构造性的，亦即在定理证明的同时指明了由单目图像恢复物体外形且不使用正则化技术的可能途径。
This section describes some modeling rules and describes a high-performance method of performing Constructive Solid Geometry operations.
这一章描述了一些建模的规则，并讲述了一种展现作图几何学操作的高性能方法。
Then the implicit surface is displayed after polygonization. The joint method is similar to CSG (Constructive Solid Geometry).
借鉴CSG构造实体几何法表示势能场的连接，表现复杂形体的隐式曲面，实现隐式曲面的多边形化显示。
A simple method for calculating distance between a solid sphere and a constructive solid geometry (CSG) so lid primitive (including block, cone, cylinder, sphere, wedge and torus) is derived to support the collision detection algorithm.
从几何方法上介绍了一种支持干涉检测的计算球和包括长方体、锥体、柱体、楔和圆环在内的基本体素之间距离计算方法。
In this work, we have employed constructive solid geometry modeling to construct the geometrical configuration of complex specimen, and, the ray tracing arithmetic to obtain the correction to the sampling of the flight step length between scattering events.
本工作中，我们采用体构件法来产生复杂试样的几何构型，利用光线追踪算法求得散射事件间的步长抽样修正。
A new visible algorithm for constructive solid geometry (CSG) modeling was given.
将区域扫描线算法结合到光线投射算法，提出了一种基于构造实体几何（CSG）模型动态重构的快速显示算法。
A simple building object description method based on the CSG (Constructive Solid Geometry) theory is designed in this paper. And, this method is used in the finally drawing and roaming of the 3D virtual city.
本文基于CSG（ConstructiveSolidGeometry）思想，设计了一种简单的建筑物对象的描述方法，并在这种描述方法的基础上实现了三维虚拟城市的绘制与漫游。
Constructive Solid Geometry (CSG) is one of the modelling methods of solid model.
几何体素构造法是目前实体模型的造型方法之一。
Constructive algebraic geometry methods were used to discuss multivariate interpolation problems for which the interpolation nodes are taken from one algebraic manifold and the related theories and algorithms for constructing minimal degree interpolation basis were presented. An estimation for the degree of interpolation polynomial was also presented.
运用构造性代数几何方法，研究插值节点取在一个代数流形上时的多元多项式插值问题，提出构造极小次数插值基的相关理论和算法，并给出了极小次数插值多项式的次数估计。
The boundary representation model (Brep) and constructive solid geometry (CSG), which are the two main solid representation, cannot satisfy the real need of practical designs.
目前实体造型中的主要表示方法，即边界模型及构造模型，由于各自特定的结构，无法较好地满足实际工程的需要。
CSG (Constructive Solid Geometry) is an important solid modeling technique.
CSG（ConstructiveSolidGeometry）是实体造型中一种重要表示方法。