Our experiments unveiled the performance of RLE, DPCM, and BWT through the
application of diverse metrics. PSNR and SSIM scores provided insights into the preservation
of image quality, where higher scores indicated superior performance. Lower MSE values
denoted fewer errors, which is a favorable outcome. Bitrate offered insights into the
compression levels, while computational complexity shed light on the algorithms' efficiency in
utilizing processing time and resources. These measurements furnish a clear and direct means
of evaluating the effectiveness of the algorithms.
The PSNR chart (in Figure 4) is a useful tool for evaluating lossless image compression
algorithms. The y-axis measures PSNR values, quantifying compressed image quality, while the
x-axis lists the algorithms under examination. RLE achieves an impressive PSNR of 7.7,
indicating excellent image quality preservation and effective compression. Following closely,
BWT achieves a PSNR of 5.5, indicating slightly lower image quality than RLE but still offering
reasonable compression without significant detail loss. DPCM records the lowest PSNR at 4.6,
suggesting it introduces more noticeable artifacts and compromises image quality. In summary,
RLE excels with the highest image quality, making it suitable for applications prioritizing image
fidelity. BWT, while slightly lower in PSNR compared to RLE, maintains acceptable image
quality and is suitable when balancing compression and quality is important. DPCM, with the lowest PSNR, should be chosen carefully, especially in applications where preserving image
quality is paramount.
The SSIM comparison chart (Figure 5) offers crucial insights into the performance of
various lossless image compression algorithms. On this graph, the y-axis represents SSIM values,
which measure the structural similarity between the original and compressed images. Meanwhile,
the x-axis lists the algorithms being assessed. RLE obtains the lowest SSIM value among the
algorithms at 0.005. This signifies a substantial structural dissimilarity between the compressed
and original images when using RLE, indicating a significant loss of image fidelity. When we
consider SSIM, we observe that BWT outperforms RLE with a score of 0.3, indicating a higher
degree of structural similarity, though not an exact match to the original image. DPCM also
achieves a score of 0.29, which is close to BWT, suggesting comparable structural likeness but
still some variance from the original. In summary, BWT attains the highest SSIM score,
indicating that it preserves structural details better than RLE and DPCM. However, it is crucial
to acknowledge that even with BWT and DPCM, there remains a significant structural difference
from the original image. This underscores the challenge of retaining fine structural details in
lossless compression techniques.
When we delve into the MSE comparison chart (Figure 6), it proves to be a robust tool
for assessing different lossless image compression methods. The y-axis displays MSE values,
representing the average squared difference between original and compressed images, while the
x-axis identifies the algorithms under scrutiny. RLE shows the lowest MSE value among the
algorithms, scoring 1.5 x 104. This indicates minimal distortion between the compressed and
original images when using RLE, making it excel in preserving image quality compared to the
others. BWT follows RLE with an MSE of 1.85 x 104, suggesting slightly higher distortion but
still within an acceptable range for maintaining image quality. DPCM records the highest MSE
value among the algorithms, at 2.55 x 104. This signifies greater distortion when using DPCM
for compression, implying a lower image quality after compression compared to RLE and BWT.
In summary, RLE stands out as the best performer in minimizing image distortion, boasting the
lowest MSE value. BWT closely follows, introducing slightly more distortion but still preserving
image quality well. On the other hand, DPCM introduces a higher degree of distortion,
indicating comparatively lower image quality post-compression.
The bit rate comparison chart (in Figure 7) is a valuable tool for assessing various lossless
image compression algorithms. On this chart, the y-axis measures bit rate in bytes, while the xaxis lists the algorithms under consideration. RLE displays a bit rate of 1.12 bytes, indicating it
requires slightly more storage space, on average, to represent compressed images. While still
effective, this higher bit rate suggests it may not achieve compression levels as impressive as
some other algorithms. However, BWT shines with a 1-byte Bit Rate, highlighting superior compression efficiency compared to RLE. This suggests that BWT can offer better compression
ratios while preserving image quality. Similarly, DPCM also achieves a 1-byte Bit Rate,
demonstrating efficient compression with minimal storage requirements. Both BWT and DPCM
excel in terms of bit rate, demanding minimal storage space for compressed images.
Now, turning to the computational complexity comparison chart (in Figure 8), it
becomes a valuable tool for evaluating the efficiency of various lossless image compression
algorithms. The y-axis quantifies computational complexity in seconds or related units, while the
x-axis lists the algorithms under examination. RLE stands out as a top performer with a low
computational complexity of 3 x 10-4 seconds, highlighting its efficiency in swiftly compressing
or decompressing images, making it an excellent choice for scenarios with limited computational
resources, even though it may not achieve the highest compression ratios. BWT closely follows
with a slightly higher computational complexity of 0.3 x 10-4 seconds. While it demands a bit
more computational effort than RLE, this trade-off is justified by the improved compression
ratios it offers. DPCM presents a computational complexity of 0.4 x 10-4 seconds, slightly higher
than both RLE and BWT. Much like the BWT, DPCM achieves a harmonious equilibrium
between computational requirements and compression efficiency, presenting a beneficial
compromise that optimizes resource utilization while maintaining compression performance. In
summary, RLE emerges as the most computationally efficient algorithm, making it well-suited
for scenarios with strict computational constraints, even though it may not achieve the highest
compression ratios. BWT and DPCM, while slightly more computationally demanding, provide
improved compression efficiency
Table 1 shows the consolidated table comprising values of RLE, BWT and DPCM. The
RLE algorithm exhibits moderate PSNR, indicating a reasonable level of image quality
preservation. However, its SSIM score is low, suggesting poor structural similarity. The MSE
value is high, implying a substantial error in pixel value prediction. On the positive side, RLE achieves a low bit rate, making it efficient in terms of compression. Its computational complexity
is also notably low, making it suitable for real-time applications.
The BWT algorithm offers a lower PSNR compared to RLE, indicating a degradation
in image quality. However, it exhibits a higher SSIM score, suggesting better structural similarity.
The MSE value remains high, signifying pixel value prediction errors. BWT excels in terms of
bit rate, achieving a highly efficient compression. The computational complexity is low, making
it suitable for applications with modest time constraints. Among the three algorithms, DPCM
records the lowest PSNR, signaling a notable decline in image quality. The low SSIM score
indicates suboptimal structural similarity, and the highest MSE value underscores substantial
errors in pixel prediction. Similar to BWT, DPCM attains an efficient bit rate. Its computational
complexity is reasonable, albeit slightly higher than that of BWT.
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