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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)
We discuss the problem of monotonicity preservation of surfaces through 3D monotone data. This can be done using a rational bi-cubic blended function that is an extension of a rational cubic function in the form of a cubic numerator and quadratic denominator. The function involves twelve shape parameters in each rectangular patch. Data-dependent constraints(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 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)
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 rational cubic function in the form of cubic/quadratic, with three shape parameters has been developed. Data dependent sufficient constraints are derived for one of these shape parameter to preserve the shape of constrained data that is lying above the straight line. Remaining two of these shape parameters are left free for designer's(More)
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