Skip to main content
Log in

Pixel Reduction of High-Resolution Image Using Principal Component Analysis

  • Research Article
  • Published:
Journal of the Indian Society of Remote Sensing Aims and scope Submit manuscript

Abstract

A high-definition picture needs more storage space and occupies the memory. For a model to run efficiently, we need to provide a good-quality image, but as we know, we should load a lot of data to obtain accurate results. While it is often applied for compressing or reducing the dimensionality of high-resolution images, it is not specifically designed for pixel reduction. However, we can use principal component analysis (PCA) to achieve pixel reduction by treating the image as a matrix and applying PCA on its pixel values. It is important to note that while PCA can reduce the dimensionality of an image, it does not necessarily reduce the storage size unless the image has a high number of pixels compared to the number of components retained. Experimental results indicate that principal component analysis (PCA) proves effective in addressing these challenges by efficiently reducing the dimensionality of image data while retaining the principal properties of the original image. This reduction in dimensionality not only mitigates data transmission issues but also results in more efficient storage utilization. Additionally, reducing the number of pixels through PCA may result in some loss of detail and image quality. For this reason, we choose PCA, an efficient algorithm for reducing high-dimensional data. In machine learning, a picture with so many pixels will be considered high-dimensional data. The principal component analysis is a decomposition algorithm. It is a fundamental decomposition algorithm which reduces the dimensions in a dataset. Discovering the new variables, referred to as principal components, serves to streamline the solution to the eigenvalue/eigenvectors problem. PCA can be characterized as an adaptive data analysis technology since these variables are crafted to adjust to diverse data types and structures. Comparative analysis proves that the proposed method is more efficient. The study converts the image's pixel dimension from the original data, attaining a pixel rate of 3,155,200-to-100-pixel rate. Therefore, converting a 9,465,600-byte image to a 300-byte image, pixel is usually 3 bytes. Further research will be investigating an alternative dimension reduction approach for solving nonlinear problem space with correlated variables.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Abdi, H., & Williams, L. J. (2010). Principal component analysis. Wiley Interdisciplinary Reviews: Computational Statistics, 2(4), 433–459.

    Article  Google Scholar 

  • Ahmadi, M., Sharifi, A., Jafarian Fard, M., & Soleimani, N. (2023). Detection of brain lesion location in MRI images using convolutional neural network and robust PCA. International Journal of Neuroscience, 133(1), 55–66.

    Article  PubMed  Google Scholar 

  • Belarbi, M. A., Mahmoudi, S., & Belalem, G. (2017). PCA as dimensionality reduction for large-scale image retrieval systems. International Journal of Ambient Computing and Intelligence (IJACI), 8(4), 45–58.

    Article  Google Scholar 

  • Bruni, V., Cardinali, M. L., & Vitulano, D. (2022). A short review on minimum description length: An application to dimension reduction in PCA. Entropy, 24(2), 269.

    Article  MathSciNet  PubMed Central  ADS  PubMed  Google Scholar 

  • Chen, Y., Huang, Z., Sun, H., Chen, M., & Tan, H. (2016). Lossy image compression using PCA and contourlet transform. In MATEC web of conferences (Vol. 54, p. 08002). EDP Sciences.

  • de Carvalho Michalski, M. A., & de Souza, G. F. M. (2022). Comparing PCA-based fault detection methods for dynamic processes with correlated and Non-Gaussian variables. Expert Systems with Applications, 207, 117989.

    Article  Google Scholar 

  • Dhasarathan, V., Singh, M., & Malhotra, J. (2019). Development of high-speed FSO transmission link for the implementation of 5G and Internet of Things. Wireless Networks, 26, 2403–2412. https://doi.org/10.1007/s11276-019-02166-5

    Article  Google Scholar 

  • Du, Q., & Fowler, J. E. (2008). Low-complexity principal component analysis for hyperspectral image compression. The International Journal of High-Performance Computing Applications, 22(4), 438–448.

    Article  Google Scholar 

  • Fan, Q., Zhang, X., & Wang, G. (2023). A dynamic star spots extraction method based on pixel association. Advances in Space Research, 73(1), 1019–1030.

    Article  ADS  Google Scholar 

  • Gosavi, A. P., & Khot, S. R. (2013). Facial expression recognition using principal component analysis. International Journal of Soft Computing and Engineering (IJSCE), 3(4), 2231–2307.

    Google Scholar 

  • Guan, Q., Deng, H., Gao, X., Zhong, X., Ma, M., & Gong, X. (2023). Source separation and noise reduction in single-pixel imaging. Optics and Lasers in Engineering, 170, 107773.

    Article  Google Scholar 

  • Kurek, K. A., Heijman, W., van Ophem, J., Gędek, S., & Strojny, J. (2022). Measuring local competitiveness: Comparing and integrating two methods PCA and AHP. Quality & Quantity, 56(3), 1371–1389.

    Article  Google Scholar 

  • Moore, B. (1981). Principal component analysis in linear systems: Controllability, observability, and model reduction. IEEE Transactions on Automatic Control, 26(1), 17–32.

    Article  MathSciNet  Google Scholar 

  • Neto, A. M., Victorino, A. C., Fantoni, I., Zampieri, D. E., Ferreira, J. V., & Lima, D. A. (2013, April). Image processing using Pearson's correlation coefficient: Applications on autonomous robotics. In 2013 13th International Conference on Autonomous Robot Systems (pp. 1–6). IEEE.

  • Ng, S. C. (2017). Principal component analysis to reduce dimension on digital image. Procedia Computer Science, 111, 113–119.

    Article  Google Scholar 

  • Nisha, C. D., & Monoth, T. (2020). Analysis of spatial domain image steganography based on pixel-value differencing method. Soft Computing for Problem Solving: SocProS 2018 (Vol. 2, pp. 385–397). Singapore: Springer.

    Chapter  Google Scholar 

  • Qian, J., Cao, Y., Bi, Y., Wu, H., Liu, Y., Chen, Q., & Zuo, C. (2023). Structured illumination microscopy based on principal component analysis. eLlight, 3(1), 4.

    Article  Google Scholar 

  • Robinson, J. A. (2009). Covariance estimation in full-and reduced-dimensionality image classification. Image and Vision Computing, 27(8), 1062–1071.

    Article  Google Scholar 

  • Santo, R. D. E. (2012). Principal component analysis applied to digital image compression. Einstein (são Paulo), 10, 135–139.

    Article  PubMed  Google Scholar 

  • Seo, J., Park, W., & Kim, T. (2021). Comparison of pixel-based change detection methods for detecting changes on small objects. Korean Journal of Remote Sensing, 37(2), 177–198.

    Google Scholar 

  • Shereena, V. B., & David, J. M. (2015). Significance of dimensionality reduction in image processing. Signal & Image Processing: An International Journal (SIPIJ), 6(3), 1–16.

    Google Scholar 

  • Singh, M., & Malhotra, J. (2020). Performance comparison of 2×20 Gbps-40 GHz OFDM based RoFSO transmission link incorporating MDM of Hermite Gaussian modes using different modulation schemes. Wireless Personal Communications, 110, 699–711. https://doi.org/10.1007/s11277-019-06750-y

    Article  Google Scholar 

  • Tan, L., Wu, F., & Li, W. (2021). Image compression and reconstruction based on PCA. Journal of Physics: Conference Series, 1944, 012–021.

    Google Scholar 

  • Usman, T. M., Saheed, Y. K., Ignace, D., & Nsang, A. (2023). Diabetic retinopathy detection using principal component analysis multi-label feature extraction and classification. International Journal of Cognitive Computing in Engineering, 4, 78–88.

    Article  Google Scholar 

  • Vallathan, G., & Jayanthi, K. (2015, December). Lossless compression based on hierarchical extrapolation for biomedical imaging applications. In 2015 International Conference on Microwave, Optical and Communication Engineering (ICMOCE) (pp. 146–149). IEEE.

  • Wandelt, S., Sun, X., & Zhu, Y. (2016). Lossless compression of public transit schedules. IEEE Transactions on Intelligent Transportation Systems, 17(11), 3075–3086.

    Article  Google Scholar 

  • Wang, J., Mohammed, A. S., Macioszek, E., Ali, M., Ulrikh, D. V., & Fang, Q. (2022). A novel combination of PCA and machine learning techniques to select the most important factors for predicting tunnel construction performance. Buildings, 12(7), 919.

    Article  Google Scholar 

  • Windisch, D., Kaever, C., Juckeland, G., & Bieberle, A. (2023). Parallel algorithm for connected-component analysis using CUDA. Algorithms, 16(2), 80.

    Article  Google Scholar 

  • Yang, M. H., Kriegman, D. J., & Ahuja, N. (2002). Detecting faces in images: A survey. IEEE Transactions on Pattern Analysis and Machine Intelligence, 24(1), 34–58.

    Article  CAS  Google Scholar 

  • Yang, J., Zhang, D., Frangi, A. F., & Yang, J. Y. (2004). Two-dimensional PCA: A new approach to appearance-based face representation and recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26(1), 131–137. https://doi.org/10.1109/TPAMI.2004.1261097

    Article  PubMed  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Contributions

RR, MT, RTP, GR helped in resources, software, conceptualization and visualization, writing—original draft; SS, AG, VRL, BA were involved in data curation, formal analysis, investigation, supervision, validation; SHA, ANZR, Md. AH performed methodology and writing—review editing.

Corresponding authors

Correspondence to R. Thandaiah Prabu, Shaik Hasane Ahammad, Ahmed Nabih Zaki Rashed or Md. Amzad Hossain.

Ethics declarations

Conflict of interest

The authors declared that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Radhakrishnan, R., Thirunavukkarasu, M., Thandaiah Prabu, R. et al. Pixel Reduction of High-Resolution Image Using Principal Component Analysis. J Indian Soc Remote Sens 52, 315–326 (2024). https://doi.org/10.1007/s12524-024-01815-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12524-024-01815-3

Keywords

Navigation