A new area-based stereo matching in hierarchical framework is proposed. Local methods generally measure the similarity between the image pixels using local support window. An appropriate support window, where the pixels have similar disparity, should be selected adaptively for each pixel. Our algorithm consists of the following two steps. In the first step, given an estimated initial disparity ...

Abstract. We consider the inverse boundary value problem for the system of equations describing elastic waves in isotropic media on a bounded domain in R via a finite-time Laplace transform. The data is the dynamical Dirichlet-to-Neumann map. More precisely, using the full symbol of the transformed Dirichlet-to-Neumann map viewed as a semiclassical pseudodifferential operator, we give an explic...

sectionHarmonic Volumetric Parameterization using MFS After the decomposition of a given object M , we get a set of star shapes {Mi}, each region being guarded by a point gi. Then we can parameterize each subregion onto a solid sphere. A key property that we will show shortly is that such a harmonic map is guaranteed to be bijective. The harmonic map can be computed using the method of fundamen...

In this paper, the finite element method (FEM) is used to solve the Helmholtz equation for a rectangular room with sound-hard boundaries. An imaginary surface is introduced to truncate the room, reducing the effective room size and thus the computational costs. The boundary condition on the imaginary surface is the Dirichletto-Neumann (DtN) map that exactly models the effect of the portion of t...

We propose a method to map a multiply connected bounded planar region conformally to a bounded region with circular boundaries. The norm of the derivative of such a conformal map satisfies the Laplace equationwith a nonlinear Neumann type boundary condition.We analyze the singular behavior at corners of the boundary and separate the major singular part. The remaining smooth part solves a variat...

A b stra c t. Here for a smooth bounded Euclidean domain-and a smooth Riemannian manifold N , we show that almost every smooth map ' : @-! N serves as boundary data for at most one energy minimizing map u :-! N [Theorem 5. 2]. We also obtain some uniform boundary regularity estimates for energy minimizers [Theorem 2. 1 ], which n ot only are important to our proof, but also imply some other pro...

Let g be a Riemannian metric on a bounded domain in two dimensions with a Lipschitz boundary. We show that one can determine the equivalent class of g and β in the W 1,p topology, p > 2, from knowledge of the associated Dirichletto-Neumann (DN) map g,β to the elliptic equation divg(β∇gu) = 0. The DN map encodes all the voltage and current measurements at the boundary.

We construct an explicit example of a geometrically finite Kleinian group G with invariant component Ω in the Riemann sphere Ĉ such that any quasiconformal map from Ω to the boundary of the convex hull of Ĉ − Ω in H3 which extends to the identity map on their common boundary in Ĉ, and which is equivariant under the group of Möbius transformations preserving Ω, must have maximal dilatation K > 2...

See slides Questions/Answers: Map building tree → rectangular world necessary? No, axioms are topological only What about boundary relations in a U-shaped road? Boundary relations need to be defeasible Comment (Ian Pratt-Hartmann) -> How do you know your axioms are right? Spatial calculi could be applied? BK: I agree Do you prune your map building tree? Because of hierarchy/topological abstract...