We show that the geometric Hermite interpolant can be easily calculated without solving a system of nonlinear equations. In addition we give geometric conditions for the existence and uniqueness of a solution to the interpolation problem. Finally we compare geometric Hermite interpolation with standard cubic Hermite interpolation. x1 Introduction Since parametric representations of curves are n...

This paper surveys several topics related to a nonlinear centered piecewise polynomial interpolation technique and the associated multiresolution schemes. This interpolation leads to a nonlinear reconstruction operator with several desirable features: the reconstruction is fourth-order accurate in smooth regions, the data used is always centered with optimal support, the Gibbs phenomenon of lin...

In this paper we propose a Rescaled Localized Radial Basis Functions (RL-RBF) interpolation method, based on the use of compactly supported radial basis functions. Starting from classic RBF interpolation technique, we introduce a rescaling that recovers the partition of unity combined with a new algorithm to select the support of the basis. The proposed rescaling generates a set of basis functi...

Abstract: Orthogonal frequency division multiplexing combined with time division multiplexing (OFDM/TDM) was proposed to overcome the high peak-to-average-power ratio (PAPR) of conventional OFDM. Clipping and filtering can be used to further reduce the PAPR. OFDM/TDM with minimum mean square error (MMSE) frequency-domain equalization (FDE) requires accurate channel estimation (CE). In this pape...

Tissue tagging can be implemented during cardiovascular magnetic resonance imaging exams to assist with the quantification of left ventriculargeometry, volume and ejection fraction, endocardial thickening and relaxation, and myocardial stress-strain relationships. During tagged cine gradient echo image acquisitions of left ventricular wall motion, rows of k-space data can be acquired with vario...

Standard methods for image interpolation are based on smoothly fitting the image intensity surface. Recent edgedirected interpolation methods add limited geometric information (edge maps) to build more accurate and visually appealing interpolations at key contours in the image. This paper presents a method for geometry-based interpolation that smoothly fits the isophote (intensity level curve) ...

Motion estimation and compensation is the key to high quality video coding. Block matching motion estimation is used in most video codecs, including MPEG-2, MPEG-4, H.263 and H.26L. Motion estimation is also a key component in the digital restoration of archived video and for post-production and special effects in the movie industry. Sub-pixel accurate motion vectors can improve the quality of ...

Densely-sampled image representations such as the light field or Lumigraph have been effective in enabling photorealistic image synthesis. Unfortunately, lighting interpolation with such representations has not been shown to be possible without the use of accurate 3D geometry and surface reflectance properties. In this paper, we propose an approach to image-based lighting interpolation that is ...

Densely-sampled image representations such as the light field or Lumigraph have been effective in enabling photorealistic image synthesis. Unfortunately, lighting interpolation with such representations has not been shown to be possible without the use of accurate 3D geometry and surface reflectance properties. In this paper, we propose an approach to image-based lighting interpolation that is ...

This paper will demonstrate how European and American option prices can be computed under the jump-diffusion model using the radial basis function (RBF) interpolation scheme. The RBF interpolation scheme is demonstrated by solving an option pricing formula, a one-dimensional partial integro-differential equation (PIDE). We select the cubic spline radial basis function and adopt a simple numeric...