In this paper, we discuss a new hand-gesture-based application, FlowField, which explores the use of pressure-sensitive multipoint touchpad (multi-touch) interaction. FlowField allows participants to interact using their whole hand with a flow of circulating particles, providing visual and auditory feedback. Limitations of the raw data mapping used in FlowField motivated work on applying interp...

Problem statement: Fast and accurate interpolation and resizing of images and video frames is a much sought after research area in multimedia applications. The more accurate schemes are computationally expensive and require more time for execution. We proposed here Discrete Wavelet Transform (DWT) using lifting scheme as an accurate and computationally inexpensive interpolation technique for im...

In this paper we present a method to optimize the smoothness order of subdivision algo rithms generating surfaces of arbitrary topology In particular we construct a subdivision algorithmwith some negative weights producing G surfaces These surfaces are piecewise bicubic and are at at their extraordinary points The underlying ideas can also be used to improve the smoothness order of subdivision ...

This paper addresses a gap in the arsenal of curvature continuous tensor-product spline constructions: an algorithm is provided to fill n-sided holes in C bi-3 spline surfaces using n patches of degree bi-6. Numerous experiments illustrate good highlight line and curvature distribution on the resulting surfaces.

We establish several fundamental properties of analysis-suitable Tsplines which are important for design and analysis. First, we characterize T-spline spaces and prove that the space of smooth bicubic polynomials, defined over the extended T-mesh of an analysis-suitable T-spline, is contained in the corresponding analysis-suitable T-spline space. This is accomplished through the theory of pertu...

Several efficient constructions of smooth surfaces following the outlines of a polyhedral mesh are based on three-sided patches. To demonstrate that these constructions arc compatible with existing software based on tensor-product patches, the particular scheme in [3] is expressed in terms of linearly-trimmed bicubic patches. Explicit formulas relating the coefficients of the patches to the ver...

Recently, it was shown that a bi-cubic patch complex with n-sided holes can be completed into a curvature-continuous (G) surface by n-sided caps of degree bi-5 that offer good and flexible shape [KP13]. This paper further explores the space of n-sided caps of degree bi-5 but focusing on functionals to set degrees of freedom and to optimally propagate and average out curvature from the bi-cubic ...

.This paper is concerned with the range restricted interpolation of 'data on rectangular grids. The interpolant is constrained to lie on the same side of the constraint surface as the data. Sufficient non-negativity conditions on the Bezier ordinates are derived to ensure the non-negativity of a bicubic Bezier patch. The method modifies Bezier ordinates locally to fulfill the sufficient non-neg...

We propose a novel image interpolation method for resolution enhancement of still images. The approach consists of a nonlinear mapping from pixel index space to color space based on the low-resolution image so that non-integral pixel indices in a super-sampling can be mapped to colors, i.e., interpolated. This nonlinear mapping is based on an extensor transformation of 2D pixel indices to an N-...