The distance function to surfaces in three dimensions plays a key role in many geometric modeling applications such as medial axis approximations, surface reconstructions, offset computations, feature extractions among others. In many cases, the distance function induced by the surface can be approximated by the distance function induced by a discrete sample of the surface. The critical points ...

We are examining surface characteristics of ultraviolet pulsed-laser micromachined structures in polymide as a function of the incident laser energy and the distance between subsequent laser spots in order to prepare surfaces for laser direct-write deposition of metals. Variations in the spot-to-spot translation distance provide an alternative means of average depth and roughness control when c...

The dielectric multilayer is specially tailored to support BSWs with properties unattainable using conventional materials. In particular, the low-loss characteristic of dielectric material enables the propagation of BSWs over large distances and enables large resonance strengths. These properties are highly desirable for a 2D optics platform. Elements such as lenses, prisms, waveguides, resonat...

A method for lossy compression of genus-0 surfaces is presented. Geometry, texture and other surface attributes are incorporated in a unified manner. The input surfaces are represented by surfels (surface elements), i.e., by a set of disks with attributes. Each surfel, with its attribute vector, is optimally mapped onto a sphere in the sense of geodesic distance preservation. The resulting sphe...

This paper studies Heegaard splittings of surface bundles via the curve complex of the fibre. The translation distance of the monodromy is the smallest distance it moves any vertex of the curve complex. We prove that the translation distance is bounded above in terms of the genus of any strongly irreducible Heegaard splitting. As a consequence, if a splitting surface has small genus compared to...

1 Distance Fields Given an implicit surface ∂S with S ⊆ R the corresponding distance field (also called signed distance function) D : R → R which maps a point p from the domain of the distance field R to a real-valued distance value is obtained by distance transforming the surface using the formula D(p) = sign(p) ·min{d(p, q) : q ∈ S} (1) The metric d(p, q) used is the standard Euclidean metric...

Helmholtz stereopsis is a relatively recent reconstruction technique which is able to reconstruct scenes with arbitrary and unknown surface reflectance properties. Conventional implementations of the method estimate surface normal direction at each surface point via an eigenanalysis, thereby optimising an algebraic distance. We develop a more physically meaningful radiometric distance whose min...

The purpose of this work is to analyse what happens to the surface texture information when seen from different distances. 4-source Colour Photometric Stereo, which provides the surface shape and colour information, is used to predict how a surface looks like when changing the distance of the camera. Fifteen real sets of images captured at three different distances A, B, and C are used to perfo...

The proximity ligation assay (PLA) has previously been used for the sensitive and specific detection of single proteins. In order to adapt PLA methods for the detection of cell surfaces, we have generated multivalent peptide-oligonucleotide-phycoerythrin conjugates ('burrs') that can bind adjacent to one another on a cell surface and be ligated together to form unique amplicons. Real-time PCR d...

This paper describes a method for creating a topography-based gradient on a metallic surface to help mitigate problems associated with condensate retention. The gradient was designed to promote water droplet migration toward a specified region on the surface which would serve as the primary conduit for drainage using only the roughness of the surface to facilitate the movement of the droplets. ...