Created
June 15, 2016 15:50
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Gaussian smoothening of 1D signal in C++
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#pragma once | |
#include <cmath> | |
#include <vector> | |
#include <assert.h> | |
inline double gauss(double sigma, double x) { | |
double expVal = -1 * (pow(x, 2) / pow(2 * sigma, 2)); | |
double divider = sqrt(2 * M_PI * pow(sigma, 2)); | |
return (1 / divider) * exp(expVal); | |
} | |
inline std::vector<double> gaussKernel(int samples, double sigma) { | |
std::vector<double> v; | |
bool doubleCenter = false; | |
if (samples % 2 == 0) { | |
doubleCenter = true; | |
samples--; | |
} | |
int steps = (samples - 1) / 2; | |
double stepSize = (3 * sigma) / steps; | |
for (int i = steps; i >= 1; i--) { | |
v.push_back(gauss(sigma, i * stepSize * -1)); | |
} | |
std::cout << std::endl; | |
v.push_back(gauss(sigma, 0)); | |
if (doubleCenter) { | |
v.push_back(gauss(sigma, 0)); | |
} | |
for (int i = 1; i <= steps; i++) { | |
v.push_back(gauss(sigma, i * stepSize)); | |
} | |
std::cout << "The kernel contains " << v.size() << " entries:"; | |
for (auto it = v.begin(); it != v.end(); ++it) { | |
std::cout << ' ' << *it; | |
} | |
std::cout << std::endl; | |
assert(v.size() == samples); | |
return v; | |
} | |
inline std::vector<double> gaussSmoothen(std::vector<double> values, double sigma, int samples) { | |
std::vector<double> out; | |
auto kernel = gaussKernel(samples, sigma); | |
int sampleSide = samples / 2; | |
int valueIdx = samples / 2 + 1; | |
unsigned long ubound = values.size(); | |
for (unsigned long i = 0; i < ubound; i++) { | |
double sample = 0; | |
int sampleCtr = 0; | |
std::cout << "Now at value" << i << ": "; | |
for (long j = i - sampleSide; j <= i + sampleSide; j++) { | |
std::cout << j << " "; | |
if (j > 0 && j < ubound) { | |
int sampleWeightIndex = sampleSide + (j - i); | |
std::cout << "(" << sampleWeightIndex << " [" << kernel[sampleWeightIndex] << "]) "; | |
sample += kernel[sampleWeightIndex] * values[j]; | |
sampleCtr++; | |
} | |
} | |
double smoothed = sample / (double)sampleCtr; | |
std::cout << " S: " << sample << " C: " << sampleCtr << " V: " << values[i] << " SM: " << smoothed << std::endl; | |
out.push_back(smoothed); | |
} | |
return out; | |
} |
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