Mathematical Aspects of Geometric Modeling
јан 1995. · CBMS-NSF Regional Conference Series in Applied Mathematics 65. књига · SIAM
E-knjiga
265
Stranica
family_home
Ispunjava uslove
info
reportOcene i recenzije nisu verifikovane Saznajte više
O ovoj e-knjizi
This monograph examines in detail certain concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies these ideas. The two principal themes of the text are the use of piecewise polynomial representation (this theme appears in one form or another in every chapter), and iterative refinement, also called subdivision. Here, simple iterative geometric algorithms produce, in the limit, curves with complex analytic structure. In the first three chapters, the de Casteljau subdivision for Bernstein-Bezier curves is used to introduce matrix subdivision, and the Lane-Riesenfield algorithm for computing cardinal splines is tied into stationary subdivision. This ultimately leads to the construction of prewavelets of compact support. The remainder of the book deals with concepts of "visual smoothness" of curves, along with the intriguing idea of generating smooth multivariate piecewise polynomials as volumes of "slices" of polyhedra. The final chapter contains an evaluation of polynomials by finite recursive algorithms. Each chapter contains introductory material as well as more advanced results.
Ocenite ovu e-knjigu
Javite nam svoje mišljenje.
Informacije o čitanju
Pametni telefoni i tableti
Instalirajte aplikaciju Google Play knjige za Android i iPad/iPhone. Automatski se sinhronizuje sa nalogom i omogućava vam da čitate onlajn i oflajn gde god da se nalazite.
Laptopovi i računari
Možete da slušate audio-knjige kupljene na Google Play-u pomoću veb-pregledača na računaru.
E-čitači i drugi uređaji
Da biste čitali na uređajima koje koriste e-mastilo, kao što su Kobo e-čitači, treba da preuzmete fajl i prenesete ga na uređaj. Pratite detaljna uputstva iz centra za pomoć da biste preneli fajlove u podržane e-čitače.
