Fast circle fit with the conformal mapping method
نویسندگان
چکیده
منابع مشابه
Accurate Circle Conngurations and Numerical Conformal Mapping in Polynomial Time
| According to a remarkable re-interpretation of a theorem of E.M. Andreev (1970) by W.P. Thurston (1982), there is a unique (up to inversive transformations) packing of interior-disjoint circles in the plane, whose contact graph is any given polyhedral graph G, and such that an analagous \dual" circle packing simultaneously exists, whose contact graph is the planar dual graph G , and such that...
متن کاملAn Inverse Problem for Circle Packing and Conformal Mapping
Figure 1.1 illustrates the fact that if a region is almost packed with circles of radius e in the hexagonal pattern and if the unit disk is packed in an isomorphic pattern with circles of varying radii then, after suitable normalization, the correspondence of circles converges to the Riemann mapping function as e —► 0 (see [15]). In the present paper an inverse of this result is obtained as ill...
متن کاملConformal mapping and efficient boundary element method without boundary elements for fast vortex particle simulations
In this paper, a revitalization of conformal mapping methods applied to fluid flows in two dimensions is proposed. The present work addresses several important issues concerning their application for vortex particle flow solvers. Difficulties of past conformal based method are reviewed. One difficulty concerns the ability of a mapping procedure to represent complicated shapes. The present paper...
متن کاملA Conformal Averaging Process on the Circle
To motivate the main construction in this paper we first describe one of the simplest and best known averaging processes. For some fixed n ≥ 3 let X = {x1, ..., xn} be n distinct and cyclically ordered points on the circle R/Z. Define X ′ = {x1, ..., xn} where xj is the midpoint of the segment Ij whose endpoints are xj and xj+1, with indices (as always) taken mod n. Of the two possibilities, Ij...
متن کاملThe Approximation of Conformal Structuresvia Circle
This is a pictorial tour and survey of circle packing techniques in the approximation of classical conformal objects. It begins with numerical conformal mapping and the conjecture of Thurston which launched this topic, moves to approximation of more general analytic functions, and ends with recent work on the approximation of conformal tilings and conformal structures. x1 Introduction A circle ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
سال: 1988
ISSN: 0168-9002
DOI: 10.1016/0168-9002(88)90722-x