The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
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Articles | Volume XLVI-4/W3-2021
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLVI-4/W3-2021, 71–77, 2022
https://doi.org/10.5194/isprs-archives-XLVI-4-W3-2021-71-2022
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLVI-4/W3-2021, 71–77, 2022
https://doi.org/10.5194/isprs-archives-XLVI-4-W3-2021-71-2022
 
10 Jan 2022
10 Jan 2022

SPATIAL RESOLUTION ENHANCEMENT OF OVERSAMPLED IMAGES USING REGRESSION DECOMPOSITION AND SYNTHESIS

H.-W. Chen H.-W. Chen
  • Retail Product Research & Development, NielsenIQ, Markham, Ontario L3R 4B8, Canada

Keywords: Spatial Resolution Enhancement, Oversampling, Sparse Design Matrix, Regression Decomposition, Regression Synthesis, Random Field Simulation

Abstract. A new statistical model designed for regression analysis with a sparse design matrix is proposed. This new model utilizes the positions of the limited non-zero elements in the design matrix to decompose the regression model into sub-regression models. Statistical inferences are further made on the values of these limited non-zero elements to provide a reference for synthesizing these sub-regression models. With this concept of the regression decomposition and synthesis, the information on the structure of the design matrix can be incorporated into the regression analysis to provide a more reliable estimation. The proposed model is then applied to resolve the spatial resolution enhancement problem for spatially oversampled images. To systematically evaluate the performance of the proposed model in enhancing the spatial resolution, the proposed approach is applied to the oversampled images that are reproduced via random field simulations. These application results based on different generated scenarios then conclude the effectiveness and the feasibility of the proposed approach in enhancing the spatial resolution of spatially oversampled images.