02645nam 2200541 450 991083040580332120230629224856.01-5231-4348-71-119-83174-11-119-83175-X1-119-83172-510.1002/9781119831754(CKB)4940000000604136(MiAaPQ)EBC6614538(Au-PeEL)EBL6614538(OCoLC)1252428796(EXLCZ)99494000000060413620220121h20212021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierGeometric modeling of fractal forms for CAD /Christian Gentil, Gilles Gouaty, Dmitry SokolovLondon, England ;Hoboken, New Jersey :ISTE Ltd. :Wiley,2021.©20211 online resource (xiv, 226 pages)Geometric modeling and applications set ;volume 51-78630-040-0 Print version: Gentil, Christian. Geometric modeling of fractal forms for CAD. London : Wiley-ISTE, 2018 9781786300409 (OCoLC)1064920972 Includes bibliographical references and indexDesigning and controlling complex shapes like porous volumes and rough surfaces is a challenge. Fractal geometry is an interesting approach which considerably simplify the problem. Even though underlying concepts reduce the set possible shapes, they generate a surprising variety of shapes. In this book we present a formalism to design such complex objects for geometric aided geometry design applications. The goal of this formalism is to provide to the end user the possibility to manipulate fractal objects as a standard euclidean object with standard tools of CAD system. This formalism encompass curves, surfaces, volumes, as well as NURBS and subdivision surfaces. All theoretical and practical aspects are developed, from the design up to 3D printingNumerical methods in engineering series.Geometric modeling and applications set ;v. 5.Computer-aided designMathematicsFractalshttp://id.loc.gov/authorities/subjects/sh85051147Computer-aided designMathematics.Fractals.620.004250285Gentil Christian1641853Sokolov DmitryGouaty GillesMiAaPQMiAaPQMiAaPQBOOK9910830405803321Geometric modeling of fractal forms for CAD3986209UNINA