LEADER 04691nam 22008535 450 001 9910299990203321 005 20251230060700.0 010 $a1-4471-6461-X 024 7 $a10.1007/978-1-4471-6461-6 035 $a(CKB)3710000000128941 035 $a(EBL)1781967 035 $a(SSID)ssj0001275808 035 $a(PQKBManifestationID)11801177 035 $a(PQKBTitleCode)TC0001275808 035 $a(PQKBWorkID)11236523 035 $a(PQKB)10416749 035 $a(MiAaPQ)EBC1781967 035 $a(DE-He213)978-1-4471-6461-6 035 $a(PPN)179765108 035 $a(EXLCZ)993710000000128941 100 $a20140613d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFuture Vision and Trends on Shapes, Geometry and Algebra /$fedited by Raffaele de Amicis, Giuseppe Conti 205 $a1st ed. 2014. 210 1$aLondon :$cSpringer London :$cImprint: Springer,$d2014. 215 $a1 online resource (166 p.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1017 ;$v84 300 $aDescription based upon print version of record. 311 08$a1-322-13234-8 311 08$a1-4471-6460-1 320 $aIncludes bibliographical references at the end of each chapters. 327 $aIntroduction -- Future Shape Modelling Scenarios -- A Hilbert-Driven Strategy for Signature-based Gröbner Basis Algorithms -- Numerical Algebraic Geometry and Differential Equations -- Sparse Discriminants and Applications -- Parametrization of the Bisector of Two Low Degree Surfaces -- Computer Aided Algebraic Geometry: Constructing Surfaces of Genus Zero -- Elastic Bone Transformation for Realistic Facial Animation in Web GL -- Geometric Features for Hand-Written Signatures -- Using 2D Contours to Model Metal Sheets in Industrial Machining Processes -- The Case for Scripted Process Design and Engineering. 330 $aMathematical algorithms are a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between algebraic geometry and geometric modelling algorithms, formulated within a computer science framework. Apart from the algebraic geometry topics covered, the entire book is based on the unifying concept of using algebraic techniques ? properly specialized to solve geometric problems ? to seriously improve accuracy, robustness and efficiency of CAD-systems. It provides new approaches as well as industrial applications to deform surfaces when animating virtual characters, to automatically compare images of handwritten signatures, and to improve control of NC machines. This book further introduces a noteworthy representation based on 2D contours, which is essential to model the metal sheet in industrial processes. It additionally reviews applications of numerical algebraic geometry to differential equations systems with multiple solutions and bifurcations. Future Vision and Trends on Shapes, Geometry and Algebra is aimed specialists in the area of mathematics and computer science on the one hand and on the other hand at those who want to become familiar with the practical application of algebraic geometry and geometric modelling such as students, researchers, and doctorates. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1017 ;$v84 606 $aGeometry, Algebraic 606 $aAlgebraic fields 606 $aPolynomials 606 $aMathematics 606 $aAlgorithms 606 $aGeometry 606 $aMathematical models 606 $aAlgebraic Geometry 606 $aField Theory and Polynomials 606 $aApplications of Mathematics 606 $aAlgorithms 606 $aGeometry 606 $aMathematical Modeling and Industrial Mathematics 615 0$aGeometry, Algebraic. 615 0$aAlgebraic fields. 615 0$aPolynomials. 615 0$aMathematics. 615 0$aAlgorithms. 615 0$aGeometry. 615 0$aMathematical models. 615 14$aAlgebraic Geometry. 615 24$aField Theory and Polynomials. 615 24$aApplications of Mathematics. 615 24$aAlgorithms. 615 24$aGeometry. 615 24$aMathematical Modeling and Industrial Mathematics. 676 $a516.35 702 $ade Amicis$b Raffaele$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aConti$b Giuseppe$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299990203321 996 $aFuture vision and trends on shapes, geometry and algebra$91410655 997 $aUNINA