although, most of the abnormal structures of human brain do not alter the shape of outer envelope of brain (surface), some abnormalities can deform the surface extensively. however, this may be a major problem in a surface-based registration technique, since two nearly identical surfaces are required for surface fitting process. a type of verification known as the circularity check for the shap...

Although, most of the abnormal structures of human brain do not alter the shape of outer envelope of brain (surface), some abnormalities can deform the surface extensively. However, this may be a major problem in a surface-based registration technique, since two nearly identical surfaces are required for surface fitting process. A type of verification known as the circularity check for th...

In this paper, we present a new B-spline surface reconstruction approach, called dynamic surface reconstruction, aiming to close the sensingand-modeling loop in 3D digitization. At its core, this approach uses a recursive least squares method, the Kalman filter, to dynamically reconstruct the B-spline surface as the surface data are acquired. That is, the acquired data are dynamically incorpora...

Many problems in computer vision can be formulated as a minimization problem for an energy functional. If this functional is given as an integral of a scalar-valued weight function over an unknown hypersurface, then the sought-after minimal surface can be determined as a solution of the functional’s Euler-Lagrange equation. This paper deals with a general class of weight functions that may depe...

A new implicit surface fitting method for surface reconstruction from scattered point data is proposed. The method combines an adaptive partition of unity approximation with least-squares RBF fitting and is capable of generating a high quality surface reconstruction. Given a set of points scattered over a smooth surface, first a sparse set of overlapped local approximations is constructed. The ...

We present a parallel surface reconstruction algorithm that runs entirely on the GPU. Like existing implicit surface reconstruction methods, our algorithm first builds an octree for the given set of oriented points, then computes an implicit function over the space of the octree, and finally extracts an isosurface as a water-tight triangle mesh. A key component of our algorithm is a novel techn...

In this paper we study parameterization as a tool for both constructing and smoothing spatial triangulations. Most of the parameterization methods we study are based on convex combination maps, which have the property that the image of each interior vertex is a convex combination of its neighbours. When mapping an existing triangulation, this latter property ensures that whenever the image of t...

In this work we describe a parallel implementation of the Poisson Surface Reconstruction algorithm based on multigrid domain decomposition. We compare implementations using different models of data-sharing between processors and show that a parallel implementation with distributed memory provides the best scalability. Using our method, we are able to parallelize the reconstruction of models fro...

A model of the human stereopsis mechanism is presented. As foundation for the model lies a number of ideas that has arisen from redefining the correspondence problem. Instead of establishing potential matches by the detection and matching of some set of “predefined” features, e.g. edges (zero-crossings) or bars (peaks/trough), matches are sought by comparing the overall configuration of contras...