We present a new curve skeleton model designed for surface modeling and processing. This skeleton is defined as the geometrical integration of a piecewise harmonic parameterization defined over a disk-cylinder surface decomposition. This decomposition is computed using a progressive Region Graph reduction based on both geometric and topological criteria which can be iteratively optimized to imp...

Fitting a Gaussian curve to real settlement data is of practical use because the parameters that describe the curve, namely volume loss, maximum settlement and trough width, are conceptually easy to understand and can be compared at different locations and for different tunnel sizes, depths and construction methods. Where the magnitude of surface settlements is small, it can be difficult to obt...

Computing the intersection of parametric and algebraic curves and surfaces is a fun damental problem in computer graphics and geometric modeling This problem has been extensively studied in the literature and di erent techniques based on subdivision interval analysis and algebraic formulation are known For low degree curves and surfaces algebraic methods are considered to be the fastest whereas...

There is a need for registration algorithms to compare functional data, to compute distances between healthy and disease anatomies, and to build probabilistic atlases between the healthy and disease groups. To do this, medical images can be directly processed via 2d or 3d image matching, or after segmentation: extraction of some features points, curves or surfaces of interest. In this case, the...

This chapter describes a nonparametric Bayesian approach to the estimation of curves and surfaces that act as parameters in statistical models. The approach is based on mixing variable dimensional piecewise constant approximations, whose ‘smoothness’ is regulated by a Markov random field prior. Random partitions of the domain are defined by Voronoi tessellations of random generating point patte...

We study exact representations for offset curves and surfaces, for equal-distance curves and surfaces, and for fixedand variable-radius blending surfaces. The representations are myekeme of nonlinear equationn that define the curves and surfaces as natural projections from a bigherdimeneional space into &space. We show that the systems derived by-naively trsnalating the geometric constrainb def...

We investigate different techniques for fitting Bézier curves to surfaces in context of high-order curvilinear mesh generation. Starting from distance-based least-squares fitting we develop an incremental algorithm, which incorporates approximations of stretch and bending energy. In the process, the algorithm reduces the energy weight in favor of accuracy, leading to an optimized set of samplin...

Melting-curve procedures track DNA denaturation in real time and so provide an effective way of assessing sequence variants. Dynamic allele-specific hybridization (DASH) is one such method, based on fluorescence, which uses heat to denature a single allele-specific probe away from one strand of a polymerase chain reaction product attached to a solid support. DASH is a proven system for research...

In cortex surface segmentation, the extracted surface is required to have a particular topology, namely, a two-sphere. We present a new method for removing topology noise of a curve or surface within the level set framework, and thus produce a cortal surface with correct topology. We define a new energy term which quantifies topology noise. We then show how to minimize this term by computing it...

Surface and curve skeletons are important shape descriptors with applications in shape matching, simplification, retrieval, and animation. In recent years, many surface and curve skeletonization methods for 3D shapes have been proposed. However, practical comparisons of such methods against each other and against given quality criteria are quite limited in the literature. In this paper, we comp...