2023/05/01 by V. A. Krasikov, Krasikov, Vitaly A.
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Complex Variables (math.CV) #Digital Image Processing Techniques #FOS: Mathematics #Slime Mold and Myxomycetes Research
paper · pdf · doi:10.48550/arxiv.2305.00743
openalex publication_date 2023/05/01 · openalex created_date 2023/05/03 · openalex updated_date 2026/07/28
This article is a survey on the topic of polynomial amoebas. We review results of papers written on the topic with an emphasis on its computational aspects. Polynomial amoebas have numerous applications in various domains of mathematics and physics. Computation of the amoeba for a given polynomial and describing its properties is in general a problem of high complexity. We overview existing algorithms for computing and depicting amoebas and geometrical objects associated with them, such as contours and spines. We review the latest software packages for computing polynomial amoebas and compare their functionality and performance.