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Books > Science & Mathematics > Mathematics > Algebra
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Future Vision and Trends on Shapes, Geometry and Algebra (Hardcover, 2014)
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Future Vision and Trends on Shapes, Geometry and Algebra (Hardcover, 2014)
Series: Springer Proceedings in Mathematics & Statistics, 84
Expected to ship within 12 - 17 working days
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Mathematical 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.
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