Read e-book online Geometric Methods and Applications: For Computer Science and PDF

By Jean Gallier

This publication is an advent to the basic suggestions and instruments wanted for fixing difficulties of a geometrical nature utilizing a working laptop or computer. It makes an attempt to fill the distance among common geometry books, that are basically theoretical, and utilized books on special effects, computing device imaginative and prescient, robotics, or computer studying.

 This publication covers the next subject matters: affine geometry, projective geometry, Euclidean geometry, convex units, SVD and imperative part research, manifolds and Lie teams, quadratic optimization, fundamentals of differential geometry, and a glimpse of computational geometry (Voronoi diagrams and Delaunay triangulations). a few sensible functions of the options awarded during this ebook comprise laptop imaginative and prescient, extra in particular contour grouping, movement interpolation, and robotic kinematics.

  In this commonly up to date moment version, extra fabric on convex units, Farkas’s lemma, quadratic optimization and the Schur supplement were additional. The bankruptcy on SVD has been drastically multiplied and now incorporates a presentation of PCA.

 The e-book is definitely illustrated and has bankruptcy summaries and a number of routines all through. will probably be of curiosity to a large viewers together with desktop scientists, mathematicians, and engineers.

 Reviews of first edition:

"Gallier's e-book might be an invaluable resource for someone attracted to functions of geometrical ways to remedy difficulties that come up in quite a few branches of engineering. it might probably aid to boost the subtle thoughts from the extra complicated elements of geometry into precious instruments for applications." (Mathematical stories, 2001)

"...it should be worthy as a reference booklet for postgraduates wishing to discover the relationship among their present challenge and the underlying geometry." (The Australian Mathematical Society, 2001)

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Geometric Methods and Applications: For Computer Science and Engineering: 38 (Texts in Applied Mathematics) by Jean Gallier


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