Science and myths's video: mathematicians trick l Secret maths behind photoshop and video editing

Have you ever wondered how photoshop and different editing software works ? The answer is very simple - mathematics. In mathematics there is very powerful tool fast fourier transform basically Fast Fourier Transform (FFT) is a powerful tool used extensively in image processing. It acts as a bridge between the spatial domain, which is the image you see, and the frequency domain, a representation of the image based on its constituent frequencies. Here's how FFT works in image processing: Decomposing the Image: The FFT takes an image, which is essentially a collection of pixel values, and decomposes it into its basic building blocks – sine and cosine waves of various frequencies. Each frequency component contributes to the overall appearance of the image in the spatial domain. Spatial vs. Frequency Domain: Spatial Domain: This refers to the image itself, where each pixel location corresponds to a brightness value. Frequency Domain (Fourier Transform): This domain represents the image based on the frequencies present. Low frequencies correspond to smooth variations in intensity, while high frequencies represent sharp edges and details. Image Analysis and Manipulation: By analyzing the frequency domain representation, we can perform various image processing tasks. Here are some examples: Noise Reduction: High frequencies often carry noise. By attenuating specific frequencies in the spectrum, we can reduce noise while preserving the image's details. Sharpening: High frequencies also contribute to image sharpness. Boosting these frequencies can enhance edges and make the image appear crisper. Edge Detection: Edges in an image correspond to abrupt changes in intensity, which translate to high frequencies in the Fourier domain. Analyzing these frequencies helps in detecting edges. Feature Extraction: Specific patterns or objects within an image can be identified by analyzing the corresponding frequencies in the spectrum. Image Compression: By discarding less important frequency components, we can achieve image compression while maintaining a reasonable level of detail. The Advantage of FFT: The standard Fourier Transform can be computationally expensive for large images. The Fast Fourier Transform (FFT) is a specialized algorithm that significantly reduces the computation time required to perform the transformation, making it practical for real-world image processing applications. Overall, the FFT offers a powerful way to analyze and manipulate images by providing insights into their frequency content. This understanding allows for various image processing tasks like noise reduction, sharpening, feature extraction, and compression. Fourier transform and Fourier optics video link - https://youtu.be/YbQHxHaOIkw imagemagick software - https://imagemagick.org/script/index.php I hope you will enjoy this. Thanks for watching. Social accounts link Instagram- https://www.instagram.com/scienceandmyths/ Facebook Page- https://www.facebook.com/ScienceAndMyths/ क्यों mathematicians हमसे ये trick छिपाते हैं l Secret maths behind photoshop and video editing FAIR-USE COPYRIGHT DISCLAIMER This video is meant for Educational/Inspirational purpose only. We do not own any copyrights, all the rights go to their respective owners. The sole purpose of this video is to inspire, empower and educate the viewers.