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Download E-books Geometric Curve Evolution and Image Processing (Lecture Notes in Mathematics) PDF

By Frédéric Cao

In photo processing, "motions through curvature" supply a good method to soft curves representing the boundaries of items. In this kind of movement, every one element of the curve strikes, at any fast, with an ordinary pace equivalent to a functionality of the curvature at this aspect. This booklet is a rigorous and self-contained exposition of the thoughts of  "motion via curvature". The method is axiomatic and formulated when it comes to geometric invariance with appreciate to the location of the observer. this is often translated into mathematical phrases, and the writer develops the strategy of Olver, Sapiro and Tannenbaum, which classifies all curve evolution equations. He then attracts a whole parallel with one other axiomatic technique utilizing level-set equipment: this results in generalized curvature motions. ultimately, novel, and extremely exact, numerical schemes are proposed permitting one to compute the answer of hugely degenerate evolution equations in a very invariant approach. The convergence of this scheme is usually proved.

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Download E-books Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics) PDF

By Alexander V. Razumov

Dedicated to a major and renowned department of recent theoretical and mathematical physics, this e-book introduces using Lie algebra and differential geometry tips on how to research nonlinear integrable structures of Toda kind. Many hard difficulties in theoretical physics are with regards to the answer of nonlinear platforms of partial differential equations. essentially the most fruitful techniques in recent times has resulted from a merging of team algebraic and geometric suggestions. The e-book supplies a complete creation to this interesting department of technology. Chapters 1 and a pair of assessment easy notions of Lie algebras and differential geometry with an emphasis on extra purposes to integrable nonlinear platforms. bankruptcy three incorporates a derivation of Toda variety structures and their common options in response to Lie algebra and differential geometry equipment. The final bankruptcy examines specific ideas of the corresponding equations. The booklet is written in an available "lecture observe" variety with many examples and routines to demonstrate key issues and to enhance realizing.

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Download E-books The Method of Equivalence and Its Applications (CBMS-NSF Regional Conference Series in Applied Mathematics, No. 58) PDF

By Robert B. Gardner

The information of Elie Cartan are mixed with the instruments of Felix Klein and Sophus mislead found in this e-book the single special therapy of the strategy of equivalence. An algorithmic description of this technique, is gifted for the 1st time.

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Continue reading Download E-books The Method of Equivalence and Its Applications (CBMS-NSF Regional Conference Series in Applied Mathematics, No. 58) PDF

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Download E-books Several Complex Variables IV: Algebraic Aspects of Complex Analysis (Encyclopaedia of Mathematical Sciences) PDF

By G. M. Khenkin

This quantity of the EMS comprises 4 survey articles on analytic areas. they're first-class introductions to every respective zone. ranging from easy rules in different advanced variables each one article stretches out to present tendencies in study. Graduate scholars and researchers will discover a invaluable addition within the huge bibliography on the finish of every article.

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Continue reading Download E-books Several Complex Variables IV: Algebraic Aspects of Complex Analysis (Encyclopaedia of Mathematical Sciences) PDF