This paper provides a comparison of spline-based registration methods applied to register interventional Trans Rectal Ultrasound (TRUS) and pre-acquired Magnetic Resonance (MR) prostate images for needle guided prostate biopsy. B-splines and Thin-plate Splines (TPS) are the most prevalent spline-based approaches to achieve deformable registration. Pertaining to the strategic selection of corres...

This article describes a F0 curve estimation scheme based on a B-spline model1. We compare this model with more classical spline representation. The free parameters of both models are the number of knots and their location. An optimal location is proposed using a simulated annealing strategy. Experiments on real F0 curves confirm the adequacy and good performance of the B-spline approach, estim...

The famous de Boor conjecture states that the condition of the polynomial B-spline collocation matrix at the knot averages is bounded independently of the knot sequence, i.e., it depends only on the spline degree. For highly nonuniform knot meshes, like geometric meshes, the conjecture is known to be false. As an effort towards finding an answer for uniform meshes, we investigate the spectral c...

Boundary conditions are still an open question in the field of approximating subdivision since the problem of determining a general construction of the endpoint rules we need when subdividing a B-spline curve/surface with Bézier end conditions has not been solved yet. This consideration prompted us to present an efficient algorithm for the conversion between B-spline bases defined over differen...

We present an algorithm for bounding a piece of strip-shaped point cloud without self-intersections with an interval B-spline curve. Firstly we calculate the boundary points of the point cloud, and then bound it with an interval B-spline curve of which two pieces of boundary curves interpolate these boundary points. For the algorithm there are important applications in product shape verifying m...

The information theoretic concept of mutual information provides a general framework to evaluate dependencies between variables. Its estimation however using B-Spline has not been used before in creating an approach for Independent Component Analysis. In this paper we present a B-Spline estimator for mutual information to find the independent components in mixed signals. Tested using electroenc...

In this paper we report on the use of B-Spline lters in perfect reconstruction lter banks. For each polynomial order the analysis and synthesis FIR lters are evaluated, considering the error introduced by lter coe cient truncation, coding quantization and the distortion introduced by the lters themselves. It is shown that B-Spline lters exhibit higher energy concentration in the lower frequency...

We introduce a modeling constructor for micro-structures and porous geometry via curve-trivariate, surface-trivariate and trivariate-trivariate function (symbolic) compositions. By using 1-, 2and 3-manifold based tiles and paving them multiple times inside the domain of a 3-manifold deforming trivariate function, smooth, precise and watertight, yet general, porous/micro-structure geometry might...

This paper proposes a new progressive compression scheme for 3D triangular meshes, based on a multipatch B-Spline representation. First, the mesh is segmented into multiple patches. Each patch is then parameterized, and approximated by a B-Spline surface. The B-Spline control points are stored into 2D images and compressed using optimized still image encoders. The initial mesh topology is lossl...