A generalization of algebraic surface drawing
A generalization of algebraic surface drawing
复制标题
DOI：
10.1145/800064.801290
复制
发表时间：
1982-07
期刊：
影响因子：
--
通讯作者：
J. Blinn
中科院分区：
文献类型：
--
作者：
J. Blinn
三维表面的数学描述通常分为两种类型之一：参数型和代数型。福尔斯。该形式被定义为满足某个方程的所有点：F（x，y，z）=0。这种形式非常适合于图像空间阴影图片绘制，像素坐标被替换为x和y，方程被求解为z。绘制这种对象的算法主要是针对一阶和二阶多项式函数开发的。本文提出了一种新的算法，适用于其他函数形式，特别是几个高斯密度分布的总和。该算法是为了模拟分子结构的电子密度图而创建的，但也可以用于其他艺术上有趣的形状。
The mathematical description of three dimensional surfaces usually falls in one of two classifications: parametric and algebraic. The form is defined as all points which satisfy some equation: F(x,y,z)=0. This form is ideally suited for image space shaded picture drawing, the pixel coordinates are substituted for x and y and the equation is solved for z. Algorithms for drawing such objects have been developed primarily for first and second order polynomial functions. This paper presents a new algorithm applicable to other functional forms, in particular to the summation of several gaussian density distributions. The algorithm was created to model electron density maps of molecular structures but can be used for other artistically interesting shapes.