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   隐式函数 在 计算机软件及计算机应用 分类中 的翻译结果: 查询用时:0.149秒
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隐式函数
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    Research on the Rendering Algorithm of Complex Implicit Curve
    复杂的隐式函数曲线绘制算法的研究
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This paper presents a new method of tracking algorithm for drawing implicitly defined curves. Which produces the next best approximating pixel by looking for a sign difference in function evaluations at midpoints between the eight nearest neighboring pixels, then drawing the whole curve. This algorithm has a large adaptability of both algebraic and transcendental curves and solving the root of the function are not needed. The curves drawed by this method has the property of high precision.

提出轨迹跟踪算法解决隐式函数 f(x,y)=0的平面曲线绘制方法,运用中点函数值符号相异法在当前像素点的邻近8个像素点中选出一点以确定下一最佳像素点的位置,从而描绘出整条曲线。本算法通用性强,不须求解方程的根就可绘制各种代数函数及超越函数曲线;而且所绘制的曲线精确度高。

Radial basis function(RBF) networks,combined with implicit polynomials,can be employed to represent 3D surface from 3D unstructured points,which are constructed from the zero-set of the RBF networks.The algorithms aim to use the capability of interpolation and fitting of RBF to construct 3D surfaces from neural networks by selecting the exterior and interior constraint points simultaneously.Simulation results show that the algorithms are more robust and stable than the algorithms based on BP networks for small...

Radial basis function(RBF) networks,combined with implicit polynomials,can be employed to represent 3D surface from 3D unstructured points,which are constructed from the zero-set of the RBF networks.The algorithms aim to use the capability of interpolation and fitting of RBF to construct 3D surfaces from neural networks by selecting the exterior and interior constraint points simultaneously.Simulation results show that the algorithms are more robust and stable than the algorithms based on BP networks for small scale of points,and have better fitting results for a few 3D unstructured points than the algorithms based on BP networks which can only get unclosed figures or have many spurious zero-sets.

将径向基函数网络与隐式曲面构造原理相结合,提出一种构造隐式曲面的方法.首先以描述物体曲面的隐式函数为基础构造三元显式函数,然后用径向基函数网络逼近显式函数,最后从神经网络的仿真超曲面得到描述物体的封闭曲面;并证明了在理论上此等值面可以以任意精度逼近物体曲面.该方法具有光滑度高、稳定性好,尤其适用少量采样点情形等特点.实验表明,它具有很强的造型能力.

 
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