Optimal shape of a blob

Optimal Shape of a Blob

This paper presents the solution to the following optimization problem: What is the shape of the region that minimizes the average Lp distance between all pairs of points if the area of this region is held fixed? (The Lp-distance between two points x = (x1, x2) and y = (y1, y2) in < 2 is (|x1 − y1| p + |x2 − y2| p).) We use variational methods to determine the shape of the region that minimizes...

A Novel Volcano Smoke Antenna with Optimal Shape

The design of a novel volcano smoke antenna for UWB indoor applications is presented. The design method is based on a general description for the geometry of UWB monopole antennas which is capable of producing most possible shapes for these antennas. It is also compatible with different optimization methods. In addition to a volcano smoke antenna, this method is used to design two optimized mon...

Optimal Shape Design for a Cooling Pin Fin Connection Profil

A shape optimization problem of cooling fins for computer parts and integrated circuits is modeled and solved in this paper. The main purpose is to determine the shape of a two-dimensional pin fin, which leads to the maximum amount of removed heat. To do this, the shape optimization problem is defined as maximizing the norm of the Nusselt number distribution at the boundary of the pin fin's con...

The Recti - Blob : A conformal shape - changing robot for robustlocomotion over rough terrainGeorge

We present a novel robotic architecture suitable for locomotion on rugged terrain. For the moment existing only in a two dimensional incarnation, it consists simply of an external skin which, by changing shape, rolls over itself so as to produce motion. Since all exterior surfaces are active in locomotion, \falling over" has no meaning. Simple, modular, and versatile, the architecture can not o...

Shape-Measure Method for Solving Elliptic Optimal Shape Problems (Fixed Control Case)