A spherical map of a cortical surface is often used for improved brain registration, for advanced morphometric analysis (eg, of brain shape), and for surface-based analysis of functional signals recorded from the cortex. Furthermore, for intersubject analysis, it is usually necessary to reparameterize the surface mesh into a common coordinate system. An isometric map conserves all angle and are...

Providing a two-dimensional parameterization of threedimensional tesselated surfaces is beneficial to many applications in computer graphics, finite-element surface meshing, surface reconstruction and other areas. The applicability of the parameterization depends on how well it preserves the surface metric structures (angles, distances, areas). For a general surface there is no mapping which fu...

A significant variant selection is reported in isothermal martensite formed on the surface of an Fe-30% Ni sample. The selection phenomenon is modelled using different descriptions of the martensitic phase transformation. In particular, matrices based on the phenomenological theory of martensite crystallography, the Jaswon and Wheeler distortion, and the continuous face centred cubic-body centr...

In this paper, we consider scenes that are immersed in transparent refractive media with a dynamic surface. We take the first steps to reconstruct both the 3D fluid surface shape and the 3D structure of immersed scene simultaneously by utilizing distortion and defocus clues. We demonstrate that the images captured through a refractive dynamic fluid surface are the distorted and blurred versions...

Parameterization of 3D manifold mesh data involves embedding the mesh in some natural parametric domain, such as the plane or the sphere. Parameterization is important for many applications in geometry processing, including texture mapping, remeshing and morphing. The main objective is to generate a bijective mapping between the mesh surface and the parametric domain, which minimizes the distor...

We present a technique to extend any distortion (quality) measure for planar meshes to meshes on parameterized surfaces. The resulting distortion (quality) measure is expressed in terms of the parametric coordinates of the nodes. This extended distortion (quality) measure can be used to check the quality and validity of a surface mesh. We also apply it to simultaneously smooth and untangle surf...

Image projection is important for many applications in entertainment industry, augmented reality, and computer graphics. However, perceived distortion is often introduced by projection, which is a common problem of a projector system. Compensating such distortion for projection on non-trivial surfaces is often very challenging. In this paper, we propose a novel method to pre-warp the image such...

This paper presents a progressive compression method for generic surface meshes (non-manifold and/or polygonal). Two major contributions are proposed : (1) generic edge collapse and vertex split operators allowing surface simpli cation and re nement of a mesh, whatever its connectivity; (2) a distortion-aware collapse clustering strategy that adapts the decimation granularity in order to optimi...

In this work, we are concerned with the spherical quasiconformal parameterization of genus-0 closed surfaces. Given a genus-0 closed triangulated surface and an arbitrary user-defined quasiconformal distortion, we propose a fast algorithm for computing a spherical parameterization of the surface that satisfies the prescribed distortion. The proposed algorithm can be effectively applied to adapt...