Mathematical Skeletonization, The Secret of Optimization

ISBN-13: 9786206165996 / Angielski / Miękka / 72 str.

Nourddin SAIDOU

Opis

Mathematical skeletonization is a technique that consists of extracting the skeleton from a 2D or 3D shape. Several techniques are used, however they differ by their efficiency, their precision and the speed of extraction. In this book, we present to the readers one of our techniques which is based on the bisection of angles under constraint to respond to the initial definition of the mathematical skeleton based on the maximum balls and discs. Our method is optimal because it is limited to a very limited number of extremal points of the shape. Also, in this book, the reader will encounter very interesting applications of skeletonization such as time optimization of cancer treatment time, and process optimization of intelligent irrigation.

O autorze

Nourddin SAIDOU, born in 1969 in Tinghir, South East of Morocco. PHD in applied mathematics in convex and geometric optimization. Author of several scientific publications in the field of geometric optimization and technological processes. Professor researcher in Canada until 2012. Currently professor researcher at Euromed University of Fez.