Convex Shapes and Planar Caps
نویسندگان
چکیده
Any planar shape P can be embedded isometrically as part of a convex surface S ⊂ R such that ∂P supports the positive curvature of S. Of particular interest is the case when P is a filled polynomial Julia set and the curvature is proportional to the measure of maximal entropy. The (flat) surface Q = S \P is the associated cap. In this article, we study the cap construction when the curvature is harmonic measure on the boundary of (Ĉ \ P,∞).
منابع مشابه
Convex Shapes and Harmonic Caps
Any planar shape P ⊂ C can be embedded isometrically as part of the boundary surface S of a convex subset of R such that ∂P supports the positive curvature of S. The complement Q = S \P is the associated cap. We study the cap construction when the curvature is harmonic measure on the boundary of (Ĉ\P,∞). Of particular interest is the case when P is a filled polynomial Julia set and the curvatur...
متن کاملFanGrower: A simple bi-resolution triangle-mesh
The FanGrower algorithm proposed here segments a manifold triangle mesh into regions (called caps), which may each be closely approximated by a triangle-fan. Once the caps are formed, their rims, which form the inter-cap boundaries, are simplified, replacing each fan by its frame—a fan with the same apex but fewer triangles. The resulting collection of frames is an approximation of the original...
متن کاملNumerical simulation of Laminar Free Convection Heat Transfer around Isothermal Concave and Convex Body Shapes
In the present research, free convection heat transfer from isothermal concave and convex body shapes is studied numerically. The body shapes investigated here, are bi-sphere, cylinder, prolate and cylinder with hemispherical ends; besides, they have the same height over width (H/D = 2). A Numerical simulation is implemented to obtain heat transfer and fluid flow from all of the geometries in a...
متن کاملA NEW APPROACH OF FUZZY NUMBERS WITH DIFFERENT SHAPES AND DEVIATION
In this paper, we propose a new method for fuzzy numbers. In this method, we assume that Ai= (ai1, ai2, ai3, ai4) is to be a fuzzy number. So, the convex combination of ai1 and ai2 and also the convex combination of ai3 and ai4 are obtained separately. Then, Mic and Mis that are to be the convex combinations and the standard deviation respectively we acquire them from these components. Finally,...
متن کاملImage Based Visual Servoing Using Bitangent Points Applied to Planar Shape Alignment
We present visual servoing strategies based on bitangents for aligning planar shapes. In order to acquire bitangents we use convex-hull of a curve. Bitangent points are employed in the construction of a feature vector to be used in visual control. Experimental results obtained on a 7 DOF Mitsubishi PA10 robot, verifies the proposed method.
متن کامل