Smooth Bézier Surfaces over Unstructured Quadrilateral Meshes
Springer International Publishing (Verlag)
978-3-319-63840-9 (ISBN)
lt;p>Introduction.- G1-smooth Surfaces.- C1 smooth surfaces.- MDSs: quadrilateral meshes.- Global MDSs.- MDSs for a smooth boundary.- Computational examples.- Conclusions.- Two-patch geometry and the G1 construction.- Illustrations for the thin plate problem.- Mixed MDSs of degrees 4 and 5.- Technical lemmas.- Minimisation problems.- G1 is equivalent to C1.- Bibliography.- References.
"This well-written monograph provides a way to solve interpolation and partial differential problems for arbitrary structures of quadrilateral meshes. The solution has a linear form, which makes it relatively simple, fast, and stable. The whole theory is illustrated by numerous examples and instructive figures. This book is an important contribution to computer-aided design over unstructured meshes." (Manfred Tasche, Mathematical Reviews, June, 2018)
“This well-written monograph provides a way to solve interpolation and partial differential problems for arbitrary structures of quadrilateral meshes. The solution has a linear form, which makes it relatively simple, fast, and stable. The whole theory is illustrated by numerous examples and instructive figures. This book is an important contribution to computer-aided design over unstructured meshes.” (Manfred Tasche, Mathematical Reviews, June, 2018)
Erscheinungsdatum | 26.10.2017 |
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Reihe/Serie | Lecture Notes of the Unione Matematica Italiana |
Zusatzinfo | XX, 192 p. 64 illus., 59 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 329 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Schlagworte | Bézier patches • Bézier patches • B-splines • C1 surfaces • Computational Mathematics and Numerical Analysis • finite element analysis • Geometry • isogeometric analysis • Mathematics • mathematics and statistics • Numerical analysis • Unstructured Meshes |
ISBN-10 | 3-319-63840-8 / 3319638408 |
ISBN-13 | 978-3-319-63840-9 / 9783319638409 |
Zustand | Neuware |
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