Published November 13, 2025 | Version v1
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Comparative Study of Laplace & Fourier Transform Methods for Image Upscaling

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This paper presents a comparative analysis of
 Laplace transform(and its spatial counterpart, theLaplacian
 operator) andFourier transformmethods for imageupscaling.
 Buildingonpriorwork inedgedetection, noisereduction, and
 image generation, we explore the mathematical foundations,
 practical algorithms, andperformancedifferencesof these two
 approaches.

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