IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i12p1882-d1416245.html
   My bibliography  Save this article

PDE-Constrained Scale Optimization Selection for Feature Detection in Remote Sensing Image Matching

Author

Listed:
  • Yunchao Peng

    (PipeChina Network Corporation Eastern Oil Storage and Transportation Co., Ltd., Xuzhou 221008, China)

  • Bin Zhou

    (School of Sciences, Southwest Petroleum University, Chengdu 610500, China
    Institute of Artificial Intelligence, Southwest Petroleum University, Chengdu 610500, China)

  • Feng Qi

    (PipeChina Network Corporation Eastern Oil Storage and Transportation Co., Ltd., Xuzhou 221008, China)

Abstract

Feature detection and matching is the key technique for remote sensing image processing and related applications. In this paper, a PDE-constrained optimization model is proposed to determine the scale levels advantageous for feature detection. A variance estimation technique is introduced to treat the observation optical images polluted by additive zero-mean Gaussian noise and determine the parameter of a nonlinear scale space governed by the partial differential equation. Additive Operator Splitting is applied to efficiently solve the PDE constraint, and an iterative algorithm is proposed to approximate the optimal subset of the original scale level set. The selected levels are distributed more uniformly in the total variation sense and helpful for generating more accurate and robust feature points. The experimental results show that the proposed method can achieve about a 30% improvement in the number of correct matches with only a small increase in time cost.

Suggested Citation

  • Yunchao Peng & Bin Zhou & Feng Qi, 2024. "PDE-Constrained Scale Optimization Selection for Feature Detection in Remote Sensing Image Matching," Mathematics, MDPI, vol. 12(12), pages 1-16, June.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:12:p:1882-:d:1416245
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/12/1882/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/12/12/1882/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:12:p:1882-:d:1416245. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.