Question

 In image restoration, how are the noise parameters estimated?
b) Assume that the noise is estimated as exponential, with mean equation Variance equation. How will you estimate the parameter 'a' of pdf of exponential Noise?

09 Jan 2026
Answer :
Word Count : 399
In image restoration, the degradation of an image is commonly modeled as the combined effect of a deterministic degradation function and a random noise process. Estimation of noise parameters is therefore a crucial step, because accurate knowledge of the noise statistics allows the restoration filter to be optimally designed. Noise parameters are generally estimated from the observed degraded image itself or from calibration data. One common approach is to identify relatively homogeneous or flat regions in the image where the underlying true signal can be assumed to be constant. In such regions, variations in pixel intensity are primarily due to noise, so statistical measures such as the sample mean, variance, or higher-order moments computed from these pixels provide estimates of the noise parameters. Another approach involves using difference images, for example by
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