A Cost Function for the Uncertainty of Matching Point Distribution on Image Registration

Bian, Yuxia; Wang, Meizhen; Chu, Yongbin; Liu, Zhihong; Chen, Jun; Xia, Zhiye; Fang, Shuhong

doi:10.3390/ijgi10070438

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A Cost Function for the Uncertainty of Matching Point Distribution on Image Registration

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College of Resources and Environment, Chengdu University of Information Technology, Chengdu 610000, China

Ministry of Education Key Laboratory of Virtual Geographic Environment, Nanjing Normal University, Nanjing 210000, China

Author to whom correspondence should be addressed.

Academic Editors: James Haworth and Wolfgang Kainz

ISPRS Int. J. Geo-Inf. 2021, 10(7), 438; https://doi.org/10.3390/ijgi10070438

Received: 29 April 2021 / Revised: 9 June 2021 / Accepted: 21 June 2021 / Published: 25 June 2021

(This article belongs to the Special Issue Deep Learning and Computer Vision for GeoInformation Sciences)

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Abstract

Computing the homography matrix using the known matching points is a key step in computer vision for image registration. In practice, the number, accuracy, and distribution of the known matching points can affect the uncertainty of the homography matrix. This study mainly focuses on the effect of matching point distribution on image registration. First, horizontal dilution of precision (HDOP) is derived to measure the influence of the distribution of known points on fixed point position accuracy on the image. The quantization function, which is the average of the center points’ HDOP* of the overlapping region, is then constructed to measure the uncertainty of matching distribution. Finally, the experiments in the field of image registration are performed to verify the proposed function. We test the consistency of the relationship between the proposed function and the average of symmetric transfer errors. Consequently, the proposed function is appropriate for measuring the uncertainty of matching point distribution on image registration. View Full-Text

Keywords: matching point distribution; horizontal dilution of precision; image registration; average of symmetric transfer errors

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Bian, Y.; Wang, M.; Chu, Y.; Liu, Z.; Chen, J.; Xia, Z.; Fang, S. A Cost Function for the Uncertainty of Matching Point Distribution on Image Registration. ISPRS Int. J. Geo-Inf. 2021, 10, 438. https://doi.org/10.3390/ijgi10070438

AMA Style

Bian Y, Wang M, Chu Y, Liu Z, Chen J, Xia Z, Fang S. A Cost Function for the Uncertainty of Matching Point Distribution on Image Registration. ISPRS International Journal of Geo-Information. 2021; 10(7):438. https://doi.org/10.3390/ijgi10070438

Chicago/Turabian Style

Bian, Yuxia, Meizhen Wang, Yongbin Chu, Zhihong Liu, Jun Chen, Zhiye Xia, and Shuhong Fang. 2021. "A Cost Function for the Uncertainty of Matching Point Distribution on Image Registration" ISPRS International Journal of Geo-Information 10, no. 7: 438. https://doi.org/10.3390/ijgi10070438

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A Cost Function for the Uncertainty of Matching Point Distribution on Image Registration

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