Leo Dorst and Rein van den Boomgaard Faculty of Mathematics and Computer Science University of Amsterdam, Kruislaan 403, 1098 SJ Amsterdam, The Netherlands [email protected] or [email protected] Abstract We extend morphology to tangential morphology of di erentiable surfaces, described by set-valued functions. We show that there is a preserved logarithmic inner product, and a standard basis of morph...

DNA chips (i.e., microarrays) biotechnology [2,3] is a hybridization (i.e., matching of pairs of DNA) based process that makes possible to quantify the relative abundance of mRNA from two distinct samples by analyzing their fluorescence signals. This technique requires robotic placement (i.e., spotting) of thousands of cDNAs (i.e., complementary DNA) in an array format on glass microscope slide...

In this work we study the framework of mathematical morphology on simplicial complex spaces. Simplicial complexes are widely used to represent multidimensional data, such as meshes, that are two dimensional complexes, or graphs, that can be interpreted as one dimensional complexes. Mathematical morphology is one of the most powerful frameworks for image processing, including the processing of d...

INTRODUCTION Mathematical morphology offers some powerful tools for the image interpolation. The idea of the application of mathematical morphology to the image interpolation has been introduced in 1994 in the Center of Mathematical Morphology of Paris School of Mines. The basics of the morphological interpolation methods and the majority of the interpolation algorithms was developed by J.Serra...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 7 May 2021Accepted: 25 August 2021Published online: 04 January 2022Keywordsdeep learning, mathematical morphology, hyperspectral image processing, remote sensingAMS Subject Headings68T07, 94A12, 68U10Publication DataISSN (online): 1936-4954Publisher: Society for Industria...