slicker algorithm Algorithm
The slicker algorithm, also known as the Schlicker algorithm or Schlick's approximation, is an innovative technique used in computer graphics, specifically ray tracing, to approximate the Fresnel equations. The Fresnel equations describe the behavior of light when it interacts with a surface, including reflection and refraction. However, these equations can be computationally expensive, making them impractical for real-time rendering or simulations. To overcome this limitation, Christophe Schlick proposed an efficient approximation that reduces the computational complexity while maintaining visually accurate results.
The slicker algorithm is based on the concept of interpolating between two values using a polynomial function. This function is designed to mimic the behavior of the Fresnel equations, but with a much lower computational cost. The algorithm can be applied to various materials, including dielectrics (non-conducting materials) and conductors (metals), allowing it to be used in a wide range of applications, such as video games, movies, and virtual reality. The slicker algorithm has become a popular choice among graphics programmers because it strikes a balance between performance and visual fidelity, enabling realistic lighting effects and reflections in real-time rendering environments.
// C++ Program to Implement Slicker Algorithm that avoids Triangulation to Find Area of a Polygon
/* This is a C++ Program to find the area of ploygon using slicker algorithm.
The algorithm assumes the usual mathematical convention that positive y points upwards.
In computer systems where positive y is downwards (most of them) the easiest thing to do
is list the vertices counter-clockwise using the “positive y down” coordinates.
The two effects then cancel out to produce a positive area. */
#include <iostream>
using namespace std;
const int MAXPOLY = 200;
double EPSILON = 0.000001;
class Point
{
private:
public:
double x, y;
};
class Polygon
{
private:
public:
Point p[MAXPOLY];
int n;
Polygon()
{
for (int i = 0; i < MAXPOLY; i++)
Point p[i];// = new Point();
}
};
double area(Polygon p)
{
double total = 0;
for (int i = 0; i < p.n; i++)
{
int j = (i + 1) % p.n;
total += (p.p[i].x * p.p[j].y) - (p.p[j].x * p.p[i].y);
}
return total / 2;
}
int main(int argc, char **argv)
{
Polygon p;
cout << "Enter the number of points in Polygon: ";
cin >> p.n;
cout << "Enter the coordinates of each point: <x> <y>";
for (int i = 0; i < p.n; i++)
{
cin >> p.p[i].x;
cin >> p.p[i].y;
}
double a = area(p);
if (a > 0)
cout << "The Area of Polygon with " << (p.n)
<< " points using Slicker Algorithm is : " << a;
else
cout << "The Area of Polygon with " << p.n
<< " points using Slicker Algorithm is : " << (a * -1);
}
