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This work addresses the shape preserving interpolation problem for visualization of positive data. A piecewise rational function in cubic/quadratic form involving three shape parameters is presented. Simple data dependent conditions for a single shape parameter are derived to preserve the inherited shape feature (positivity) of data. The remaining two shape(More)
In this paper, an attempt has been made to construct a shape preserving rational bi-cubic interpolant (cubic/quadratic) with twelve free parameters to depict a more pleasant and smooth display of positive surface through positive data. Simple data dependent constraints are derived for four free parameters to preserve the positivity of data while the(More)
In this paper, we extended the rational cubic function to rational bi-cubic function that presents a smooth, visually pleasant and interactive view of monotonicity preserving surface. Moreover, it involves six free parameters in its description. These free parameters are arranged in such a way where two of these are constrained to preserve the monotonicity,(More)
This paper deals with problem of shape preserving interpolations for visualization of constrained data arranged on rectangular grid. The main focus of work is on the graphical display of constrained surface data in such a way that it is a smooth, pleasant as well as preserves the shape of data. A rational bi-cubic function has been developed for this(More)
Accuracy is one of the most important requirements of a reconstructed surface. However, this criterion needs high computation too since large number of data points is involved. Therefore, distribution of data points is the best way to solve this problem. In this paper, dyadic rational technique is employed in segmenting the data points into several(More)
This paper focuses on multi-slice image reconstruction for CT images using Beta-spline. In reconstructing multi-slice images especially from living image, issues like continuity and accuracy contours arise. Commonly, high continuity is hard to be achieved because of the accuracy requirement and vice versa. Thus the image reconstruction process is prolonged(More)
We present the smooth and visually pleasant display of 2D data when it is convex, which is contribution towards the improvements over existing methods. This improvement can be used to get the more accurate results. An attempt has been made in order to develop the local convexity-preserving interpolant for convex data using C(2) rational cubic spline. It(More)
This paper described the application of Generalised Cornu Spiral (GCS) in aesthetic design. The aim of using GCS in aesthetic design is because of it has the excellent curvature properties – the rational linear curvature profile. GCS is a transcendental function. Thus it is important to approximate the GCS by polynomial curve. The approximation is described(More)
In this paper, a newly constructed rational quadratic trigonometric Bézier curve with two shape parameters is presented. The purposed curve enjoys all the geometric properties of the traditional rational quadratic Bézier curve. The local control on the shape of the curve can be attained by altering the values of the shape parameters as well(More)