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A Comparative Study of Removal Noise from Remote Sensing Image

Salem Saleh Al-amri, N. V. Kalyankar, S. D. Khamitkar

arXiv:1002.1148v1cs.CV

TL;DR

Noise can distort satellite images and hinder interpretation, motivating the search for appropriate filters. The paper compares filtering approaches across noise types on a Saturn image using MSE and PSNR; the reported leading filters vary with noise type and density.

  • Problem

    Noise can distort satellite images and make their content harder to interpret, motivating the use of appropriate filters.

    Source: §2 · p. 1
  • Method

    The study applies filters to a Saturn image corrupted by three noise types and evaluates filtering with PSNR and MSE.

    Source: §4.1 · p. 2, §4.2 · p. 2
  • Results

    AMF is reported best for SPN, with SMF good below 40% density; MF, AWF, and GF lead at low-density RVIN, while MF and AWF lead for SPKN.

    Source: §5 · p. 4
  • Takeaways & Limitations

    The reported comparisons identify different leading filters by noise type and, for SPN, noise density on the Saturn image.

    Source: §5 · p. 4

    The simulations use one monochrome satellite image chosen for demonstration, limiting the reported evaluation to that image.

    Source: §4.2 · p. 2

Abstract

from arXiv · show

This paper attempts to undertake the study of three types of noise such as Salt and Pepper (SPN), Random variation Impulse Noise (RVIN), Speckle (SPKN). Different noise densities have been removed between 10% to 60% by using five types of filters as Mean Filter (MF), Adaptive Wiener Filter (AWF), Gaussian Filter (GF), Standard Median Filter (SMF) and Adaptive Median Filter (AMF). The same is applied to the Saturn remote sensing image and they are compared with one another. The comparative study is conducted with the help of Mean Square Errors (MSE) and Peak-Signal to Noise Ratio (PSNR). So as to choose the base method for removal of noise from remote sensing image.

1. Remote Sensing Image

Remote sensing obtains information about targets, areas, or phenomena by analyzing information collected by remote sensors. Satellite imagery supports environmental applications and analysis of objects in deep-space images.

  • Remote sensing analyzes information gathered by a sensor without physically touching the target, area, or phenomenon.Source: §1 · p. 1
  • Satellite imagery is used for environmental applications including resource tracking, mapping, crop prediction, urban growth, weather, and flood and fire control.Source: §1 · p. 1
  • Space-image applications include recognizing and analyzing objects in images from deep-space probe missions.Source: §1 · p. 1

2. Image Noise

Noise can distort satellite imagery and hinder interpretation, motivating its reduction with appropriate filters. The section describes RVIN, salt-and-pepper noise, and speckle noise.

2. Image Noise

  • Noise in satellite images can distort the image and make its content harder to interpret, motivating the use of filters to limit or reduce noise.Source: §2 · p. 1

2.1 Types of Noise

2.1.1 Random Variation Impulsive Noise (RVIN)

  • RVIN, also called Gaussian or normal noise, occurs randomly as white intensity values and is described by a Gaussian distribution.Source: §2.1.1 · p. 2

2.1.2 Salt & Pepper Noise (SPN)

  • Salt-and-pepper noise contains randomly occurring black and white intensity values and is often caused by a noise-image threshold.Source: §2.1.2 · p. 2

2.1.3 Speckle Noise (SPKN)

  • Speckle is described as multiplicative noise added to an image, limiting interpretation of optical coherence in remote-sensing images.Source: §2.1.3 · p. 2

3. Filters

The section describes five spatial filters, ranging from neighborhood smoothing and median operations to adaptive filters whose behavior responds to image statistics or local impulses.

3.1 Mean Filter (MF)

  • Mean filtering replaces each pixel with the average of its neighborhood, including itself, to smooth intensity variation.Source: §3.1 · p. 2

3.2 Standard Median Filter (SMF)

  • The standard median filter applies a two-dimensional mask at each pixel and selects the median brightness among covered pixels.Source: §3.2 · p. 2

3.3 Adaptive Wiener Filter (AWF)

  • AWF adapts to image statistics within its window; adaptive filters are described as typically outperforming non-adaptive filters at the cost of added complexity.Source: §3.3 · p. 2

3.4 Gaussian Filter (GF)

  • The Gaussian low-pass filter smooths through two-dimensional convolution to remove noise and blur, while its design avoids overshoot to a step-function input.Source: §3.4 · p. 2

3.5 Adaptive Median Filter (AMF)

  • AMF varies its surrounding window according to the current-window median and expands the window when that median is an impulse.Source: §3.5 · p. 2

4. Experiments Verifications

Experiments apply five filters to a Saturn image corrupted by SPN, RVIN, or SPKN at noise probabilities from 10% to 60%, evaluating restoration with PSNR and MSE.

4.1 Testing Procedure

  • The Saturn image was tested under SPN, RVIN, and SPKN corruption at probabilities from 10% to 60%, using five filters.The filters were MF, median filter, adaptive filter, Gaussian low-pass filter, and AMF.Source: §4.1 · p. 2

4.2 Simulation Results

  • Filtering performance was evaluated with PSNR and MSE, using the noisy and filtered images in the stated metric calculations.M and N denote the image’s horizontal and vertical pixel dimensions; g is the noisy image and f the filtered image.Source: §4.2 · p. 2
  • The 60% SPN figure juxtaposes the original and noisy image with filtered outputs labeled AWF, GF, MF, and SMF.The figure caption also identifies AMF in its description of the filtering.Source: Figure 2 · p. 3
  • Restoration tables report PSNR and MSE results for SPN, RVIN, and speckle noise.The supplied table titles identify separate PSNR and MSE tables for these noise types.Source: Table 1 · p. 3, Table 2 · p. 3, Table 3 · p. 3

5. Conclusion

The conclusion reports different preferred filters across noise types and conditions: AMF for SPN, several alternatives for low-density RVIN, and MF or AWF for speckle.

5. Conclusion

  • For SPN, AMF is reported to remove noise without leaving blurring, while SMF is described as good below 40% noise density.The conclusion also allows AMF for small-density SPN.Source: §5 · p. 4
  • AMF is reported as best for SPN, while MF, AWF, and GF are ranked best in that order for low-density RVIN, where SMF and AMF fail.The conclusion also says AMF can be used for small-density SPN and SMF is good for SPN below 40% density.Source: §5 · p. 4
  • For SPKN, MF and AWF are reported as the best filters, with the other filters described as not bad.The conclusion does not quantify the differences among these filters.Source: §5 · p. 4
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