Fourier Transform Tapestries

In 1822, Joseph Fourier showed that some functions could be written as an infinite sum of harmonics. This method called fourier series allowed us to construct very complex signal by only using the summation of sine and cosine signal. Furthermore by taking some statistic method, the scientist figure out that this complex signal can be transformed into frequency domain, so the analyzing or utilization of signal was becoming more advance. Nowadays application of fourier transform can be found everywhere. Your smartphone, your face recognition, radio, stock exchange, heart monitor, etc. And finally it is time to found its application in your daily outfit. Grab it fast.

The Fast and the Fourier transform to create slice images for volumetric scanning in CT, MRI, and Ultrasound. The mathematical equation that makes it all work.

Fourier transform formula, a very useful equation in many domains of science.

Discrete Fourier transform formula, a special case of the continuous Fourier transform, very useful equation in many domains of science.

Discrete Fourier transform formula, a special case of the continuous Fourier transform, very useful equation in many domains of science.

Fourier series equation, the formula that describes every periodic function as a sum of sines and cosines.

Fourier series equation, the formula that describes every periodic function as a sum of sines and cosines.

Although the Fourier Transform is a very important tool in mathematics, physicists, and engineers, it is not used in the same way as in these other fields. However, it is a very important tool used to decompose images and in signal processing.

Although the Fourier Transform is a very important tool in mathematics, physicists, and engineers, it is not used in the same way as in these other fields. However, it is a very important tool used to decompose images and in signal processing.

Although the Fourier Transform is a very important tool in mathematics, physicists, and engineers, it is not used in the same way as in these other fields. However, it is a very important tool used to decompose images and in signal processing.

Although the Fourier Transform is a very important tool in mathematics, physicists, and engineers, it is not used in the same way as in these other fields. However, it is a very important tool used to decompose images and in signal processing.

A minimal typography design, of the words Fourier transform in white text. It's a math thing. Looks best on classic black and other strong colors.

Seven equations that rule your world.

Seven equations that rule your world.

Seven equations that rule your world.

Seven equations that rule your world.

Seven equations that rule your world.

Seven equations that rule your world.

The Fourier transform is a mathematical technique for decomposing functions. The Fourier transform is used in signal processing, image processing, and many other fields.

The Fourier transform is a mathematical technique for decomposing functions. The Fourier transform is used in signal processing, image processing, and many other fields.

Illustration of fourier transform

A way of pulling sine waves out of a complex addition of lots of different sine waves with different frequencies, amplitudes, and offsets ( using this fast algorithm called the FFT )

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