Approximation Problems for Digital Image Processing and Applications

摘要

In this note, some approximation problems are discussed with applications to reconstruction and to digital image processing. We will also show some applications to concrete problems in the medical and engineering fields. Regarding the first, a procedure will be presented, based on approaches of approximation theory and on algorithms of digital image processing for the diagnosis of aneurysmal diseases; in particular we discuss the extraction of the pervious lumen of the artery starting from CT image without contrast medium. As concerns the engineering field, thermographic images are analyzed for the study of thermal bridges and for the structural and dynamic analysis of buildings, working therefore in the field of energy analysis and seismic vulnerability of buildings, respectively.