alpha complex
时间: 2023-10-10 11:13:33 浏览: 37
Alpha Complex is a fictional setting from the role-playing game Paranoia. It is a dystopian, futuristic city controlled by an artificial intelligence known as The Computer, where citizens are required to be happy and obey all of The Computer's directives. The society is heavily monitored, and citizens are encouraged to report any suspicious activity or disloyalty to The Computer. However, due to The Computer's incompetence and conflicting directives, chaos and hilarity often ensue.
相关问题
基于Delaunay三角网改进的Alpha-shape算法
Alpha-shape算法是一种用于从点云数据中提取几何形状的算法,其中的Alpha参数控制了提取形状的严格程度。在传统的Alpha-shape算法中,使用Delaunay三角网作为基础结构来定义形状的边界。然而,这种方法在处理噪声和离群点时可能会出现问题。
为了改进Alpha-shape算法并提高其对噪声和离群点的鲁棒性,可以使用基于Delaunay三角网改进的方法。这种方法通过在Delaunay三角网中添加额外的约束来调整形状的边界。
一种常见的改进方法是使用Alpha-complex,它是在Delaunay三角网的基础上构建的。Alpha-complex中的边界由Alpha-shape的边界和邻近点之间的连接线组成。通过引入额外的约束来限制Alpha-complex的边界,可以得到更准确的形状提取结果。
另一种改进方法是使用Alpha-shape滤波器,它基于Delaunay三角网中每个三角形的Alpha圆。通过筛选掉Alpha圆半径小于给定阈值的三角形,可以有效地去除噪声和离群点,从而得到更好的形状提取结果。
这些基于Delaunay三角网改进的Alpha-shape算法可以根据具体的应用场景和需求进行选择和调整。它们在处理点云数据中的形状提取问题时都可以提供更准确和鲁棒的结果。
用java Complex复数类声明实现Comparable<T>接口,提供按模比较复数大小的方法
好的,以下是用Java中的Complex复数类声明实现Comparable<T>接口,提供按模比较复数大小的方法的代码:
```java
import java.util.*;
public class Complex implements Comparable<Complex>{
private final double re; // the real part
private final double im; // the imaginary part
// create a new object with the given real and imaginary parts
public Complex(double real, double imag) {
re = real;
im = imag;
}
// return a string representation of the invoking Complex object
public String toString() {
if (im == 0) return re + "";
if (re == 0) return im + "i";
if (im < 0) return re + " - " + (-im) + "i";
return re + " + " + im + "i";
}
// return abs/modulus/magnitude and angle/phase/argument
public double abs() { return Math.hypot(re, im); } // Math.sqrt(re*re + im*im)
public double phase() { return Math.atan2(im, re); } // between -pi and pi
// return a new Complex object whose value is (this + b)
public Complex plus(Complex b) {
Complex a = this; // invoking object
double real = a.re + b.re;
double imag = a.im + b.im;
return new Complex(real, imag);
}
// return a new Complex object whose value is (this - b)
public Complex minus(Complex b) {
Complex a = this;
double real = a.re - b.re;
double imag = a.im - b.im;
return new Complex(real, imag);
}
// return a new Complex object whose value is (this * b)
public Complex times(Complex b) {
Complex a = this;
double real = a.re * b.re - a.im * b.im;
double imag = a.re * b.im + a.im * b.re;
return new Complex(real, imag);
}
// return a new object whose value is (this * alpha)
public Complex scale(double alpha) {
return new Complex(alpha * re, alpha * im);
}
// return a new Complex object whose value is the conjugate of this
public Complex conjugate() { return new Complex(re, -im); }
// return a new Complex object whose value is the reciprocal of this
public Complex reciprocal() {
double scale = re*re + im*im;
return new Complex(re / scale, -im / scale);
}
// return the real or imaginary part
public double re() { return re; }
public double im() { return im; }
// return a / b
public Complex divides(Complex b) {
Complex a = this;
return a.times(b.reciprocal());
}
// return a new Complex object whose value is the complex exponential of this
public Complex exp() {
return new Complex(Math.exp(re) * Math.cos(im), Math.exp(re) * Math.sin(im));
}
// return a new Complex object whose value is the complex sine of this
public Complex sin() {
return new Complex(Math.sin(re) * Math.cosh(im), Math.cos(re) * Math.sinh(im));
}
// return a new Complex object whose value is the complex cosine of this
public Complex cos() {
return new Complex(Math.cos(re) * Math.cosh(im), -Math.sin(re) * Math.sinh(im));
}
// return a new Complex object whose value is the complex tangent of this
public Complex tan() {
return sin().divides(cos());
}
// comparison by modulus
public int compareTo(Complex other) {
if (this.abs() < other.abs()) {
return -1;
} else if (this.abs() > other.abs()) {
return 1;
} else {
return 0;
}
}
// test client
public static void main(String[] args) {
Complex z1 = new Complex(1.0, 1.0);
Complex z2 = new Complex(2.0, 2.0);
System.out.println(z1.compareTo(z2)); // prints -1
Complex[] arr = {new Complex(3.0, 3.0), new Complex(1.0, 1.0), new Complex(2.0, 2.0)};
Arrays.sort(arr);
for (Complex c : arr) {
System.out.println(c);
}
// prints 1.0 + 1.0i
// 2.0 + 2.0i
// 3.0 + 3.0i
}
}
```
在上述代码中,我们实现了`Comparable<Complex>`接口,并提供了`compareTo()`方法,该方法按照复数的模进行比较,并返回-1、0或1,以表示当前对象小于、等于或大于另一个对象。我们使用`Arrays.sort()`方法对一个复数数组进行排序,以演示这个方法的工作原理。
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