Last edited by Fenrikazahn

Saturday, July 25, 2020 | History

10 edition of **Space mappings with bounded distortion** found in the catalog.

- 340 Want to read
- 21 Currently reading

Published
**1989**
by American Mathematical Society in Providence, R.I
.

Written in English

- Conformal mapping.

**Edition Notes**

Statement | Yu. G. Reshetnyak. |

Series | Translations of mathematical monographs ;, v. 73 |

Classifications | |
---|---|

LC Classifications | QA646 .R3813 1989 |

The Physical Object | |

Pagination | xv, 362 p. ; |

Number of Pages | 362 |

ID Numbers | |

Open Library | OL2182396M |

ISBN 10 | 0821845268 |

LC Control Number | 89000072 |

The pursuit to compute mappings that are injective and have a controllable amount of conformal and isometric distortion is a long endeavor which has received significant attention by the scientific community in recent years. The difficulty of the problem stems from the fact that the space of bounded distortion mappings is nonconvex. But when your pages are going to end up bound into a book, vertical centering isn’t the best way to go. That’s because the pages of a book, when you’re reading it, aren’t flat the way a single piece of paper is. combining the inside margins of both pages in a space in the middle of the book.” Understanding Book Layouts and.

The Fields Institute is a centre for mathematical research activity - a place where mathematicians from Canada and abroad, from academia, business, industry and financial institutions, can come together to carry out research and formulate problems of mutual interest. Read "Slow mappings of finite distortion, Mathematische Annalen" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. Duke Math. J. (2), – () Reshetnyak, Y.G.: Space mappings with bounded distortion. In: Translations of Mathematical.

0. The operator norm of a bounded linear mapping T: V → Wis deﬁned by () kTkop = sup{kT(v)kW: v∈ V,kvkV ≤ 1}. Equivalently, L= kTkop is the smallest nonnegative real number that satis-ﬁes the previous condition. The space BL(V,W) of bounded linear mappings from V into W is a vector space with respect to pointwise addition and scalarFile Size: KB. ], W. Rudin introduced the term " Ai-invariant space" to mean a space of holomorphic mappings on B2 in C2, which are invariant under holomorphic automorphisms of the ball B2 in C2. That is, if a mapping / on the ball belongs to the space, then / composed with y/ belongs to the space .

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This book is intended for researchers and students concerned with questions in analysis and function theory. The author provides an exposition of the main results obtained in recent years by Soviet and other mathematicians in the theory of mappings with bounded distortion, an active direction in contemporary mathematics.

Print book: EnglishView all editions and formats Summary: Suitable for researchers and students concerned with questions in analysis and function theory, this book provides an exposition of the main results obtained in the theory of mappings with bounded distortion, an active direction in contemporary mathematics.

texts All Books All Texts latest This Just In Smithsonian Libraries FEDLINK (US) Genealogy Lincoln Collection. National Emergency Library.

Top Space Mappings With Bounded Distortion Item Preview remove-circle Share or Embed This Item. EMBED EMBED (for. Book Review: Space mappings with bounded distortion Article (PDF Available) in Bulletin of the American Mathematical Society 24(2) April with 27 Reads How we measure 'reads'.

CiteSeerX - Scientific documents that cite the following paper: Space mappings with bounded distortion, volume 73 of Translations of Mathematical Monographs. A. Chernavskii, Supplement to the Paper Finite-to-One Mappings of Manifolds, Matematicheskii Sbornik,66, No.

3, – (). Google Scholar Download referencesCited by: It is shown how common geometric processing objective functionals can be restricted to these new spaces, rather than to the entire space of piecewise linear mappings, to provide a bounded distortion version of popular : LipmanYaron.

Figure 1: Bijective volumetric mapping of mesh comprising M tetrahedra (tets). Initial mapping of the bust into a ball is obtained by minimizing the Dirichlet energy subject to a prescribed bound-ary map, resulting in over 10% near-degenerate or ﬂipped tets.

A bounded distortion map is obtained using the proposed algorithm in 5 minutes. (4) f has bounded distortion if there exists K > 0 such that sup x∈X sup >0 Df(x,) ≤ K. (5) f is a bounded distortion equivalence if f and f−1: Y → X have bounded distortion.

Quasiconformal maps are those maps with control on the distortion of suﬃciently small spheres. Homeomorphisms of bounded distortion have control on the distortion. and/or bounded distortion mappings of tetrahedral meshes remains mostly unsolved.

The goal of this paper is to introduce an algorithm that receives as an input a source simplicial mapping of a tetrahedral mesh (e.g., produced by existing deformation/mapping techniques) and ap-proximates it with an injective bounded-distortion simplicial Size: 1MB.

inaccuracy. This paper presents bounded-distortion metric learning (BDML), a new metric learning framework which amounts to ﬁnding an optimal Mahalanobis metric space with a bounded-distortion constraint.

An efﬁcient solver based on the multiplicative weights update method is. Bounded Distortion Mappings Shahar Kovalsky, Noam Aigerman, Ronen Basri and Yaron Lipman. Mappings. Applications [Sifakis et al. ] [Wang et al. ] [Kim et al. ] Misbehaved Mappings Flip High Distortion.

Related Work Flip High Distortion [Lipman ] [Kovalsky et al. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The problem of mapping triangular meshes into the plane is fundamental in geometric modeling, where planar deformations and surface parameterizations are two prominent examples.

Current methods for triangular mesh mappings cannot, in general, control the worst case distortion of all triangles nor guarantee injectivity. DISTORTION THEOREMS OF STARLIKE MAPPINGS IN SEVERAL COMPLEX VARIABLES Liu, Taishun, Wang, Jianfei, and Lu, Jin, Taiwanese Journal of Mathematics, ; ON THE SHARP DISTORTION THEOREMS FOR A SUBCLASS OF STARLIKE MAPPINGS IN SEVERAL COMPLEX VARIABLES Liu, Xiaosong and Liu, Taishun, Taiwanese Journal of Mathematics, ; Volume distortion Cited by: 6) N.

Dairbekov, Mapping with bounded distortion of two-step Carnot groups, Proceedings on Analysis and Geometry, Sobolev Institute Press, Novosibirsk,P. – We study mappings with bounded (p, q)-distortion associated to Sobolev spaces on Carnot gs of such type have applications to the Sobolev type embedding theory and classification of manifolds.

For this class of mappings, we obtain estimates of linear distortion, and a Cited by: pings of ﬁnite distortion (called mappings of bounded distortion or quasiregular mappings) are continuous, open and discrete. Openness of a continuous map-ping f requires that it maps open sets to open sets and discreteness that the pre-image of any point in Rn is a set of isolated points in Ω.

For the exposition of the theory of mappings of Cited by: 8. Bounded geometries, fractals, and low-distortion embeddings Anupam Gupta yRobert Krauthgamer James R. Lee z Abstract The doubling constant of a metric space (X ; d) is the smallest value such that every ball in X can be covered by balls of half the radius.

The doubling dimension of X is then deﬁned as dim(X) = log 2. A metric (or sequence of. The pursuit to compute mappings that are injective and have a controllable amount of conformal and isometric distortion is a long endeavor which has received significant attention by the scientific community in recent years.

The difficulty of the problem stems from the fact that the space of bounded distortion mappings is : LeviZohar, WeberOfir. Bounded Distortion Harmonic Shape Interpolation - SIGGRAPH Technical Paper - Duration: A Few Applications of Conformal Mappings for Surface Comparison - Prof. Yaron Lipman -.

In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed.Although a greatly distorted metric space has a high degree of freedom to fit training data, it is prone to overfitting and numerical inaccuracy.

This paper presents {\it bounded-distortion metric learning} (BDML), a new metric learning framework which amounts to finding an optimal Mahalanobis metric space with a bounded-distortion : Renjie Liao, Jianping Shi, Ziyang Ma, Jun Zhu, Jiaya Jia.CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We introduce an efficient algorithm for producing provably injective mappings of tetrahedral meshes with strict bounds on their tetrahedra aspect-ratio distortion.

The algorithm takes as input a simplicial map (e.g., produced by some common deformation or volumetric parameterization technique) and projects it on the.