Abstract
A sensor's spatial resolution has traditionally been a difficult concept to define, but all would agree that it is inextricably linked to the Ground Sampling Distance (GSD) and Instantaneous Field of View (IFOV) of an imaging sensor system. As a measure of the geospatial quality of imagery, the Modulation Transfer Function (MTF) of the system is often used along with the signal-to-noise ratio (SNR). However, their calculation is not fully standardized. Further, consistent measurements and comparisons are often hard to obtain. Therefore, in the Infrared and Visible Optical Sensors (IVOS) subgroup of the Working Group on Calibration Validation (WGCV) of the Committee for Earth Observation Satellites (CEOS), a team from various countries and professional entities who are involved in MTF measurement was established to address the issue of on-orbit MTF measurements and comparisons. As a first step, a blind comparison of MTF measurements based on the slanted edge approach has been undertaken. A set of both artificial and actual satellite edge images was developed and a first comparison of processing results was generated. In all, seven organizations contributed to the experiment and several significant results were generated in 2016. No single participant produced the best results for all test images as measured by either the closest to the mean result, or closest to the truth for the synthetic test images. In addition, close estimates of the MTF value at Nyquist did not ensure the accuracy of other MTF values at other spatial frequencies. Some algorithm results showed that the accuracy of their estimates depended upon the type of MTF curve that was being analyzed. After the initial analysis, participants were allowed to modify their methodology and reprocess the test images since, in several cases, the results contained errors. Results from the second iteration, in 2017, verified that the anomalies in the experiment's first iteration were due to errors in either coding or methodology, or both. One organization implemented a third trial to fix software errors. This emphasizes the importance of fully understanding both methodology and implementation, in order to ensure accurate and repeatable results. To extend this comparison study, a reference data set, which is composed of edge images and corresponding MTF curves, will be built. A broader audience will be able to access the edge images through the CEOS CalVal Portal (http://calvalportal.ceos.org/). This paper, which is associated with the reference data set, can serve as a new tool to either implement or check, or both, the MTF measurement that relies on the slanted edge method.
Highlights
The geo-spatial quality of a sensor and its imagery often revolves, at least in part, around the concept of the spatial resolution of a sensor which is often reduced to the Ground Sampling Distance (GSD) associated with the Instantaneous Field Of View (IFOV) defined by the pixel size
Most agree that the effective spatial resolution is due to three features of the sensor: the IFOV, the Modulation Transfer Function (MTF) and the signal to noise ratio (SNR)
The edge transition region of the Edge Spread Function (ESF) is initially estimated in three steps: first a cubic smoothing spline is fitted to the oversampled ESF, the Line Spread Function (LSF) is obtained as the derivative of the smoothed spline, and lastly the knee points of the LSF are found as the extrema of the second derivative of the LSF
Summary
The geo-spatial quality of a sensor and its imagery often revolves, at least in part, around the concept of the spatial resolution of a sensor which is often reduced to the Ground Sampling Distance (GSD) associated with the Instantaneous Field Of View (IFOV) defined by the pixel size. This paper deals with one of the methods used for on-orbit MTF assessment, called the edge method, the knife-edge method, or the slanted-edge method This method is widely used for laboratory measurements and may be implemented in various manners. One of the first efforts of this group has been to compare processing methodologies for the edge method of MTF estimation For this comparison experiment, the team was composed of Frans van den Bergh from CSIR, Renaud Fraisse from Airbus DS, Dennis Helder from SDSU, Dong Han Lee from KARI, Amy Newbury and Robert Kudola from Digital Globe, Sébastien Saunier from Telespazio and Françoise Viallefont-Robinet from ONERA.
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