In this paper we present a novel subdivision scheme that can produce a nice-looking interpolation of the control points of the initial polyline, giving the possibility of adjusting the local shape of the limit curve by choosing a set of tension parameters associated with the polyline edges. If compared with the other existing methods, the proposed model is the only one that allows to exactly re...

We derive two reformulations of the C1 Hermite subdivision scheme introduced by Merrien. One where we separate computation of values and derivatives and one based of refinement of a control polygon. We show that the latter leads to a subdivision matrix which is totally positive. Based on this we give algorithms for constructing subdivision curves that preserve positivity, monotonicity, and conv...

This paper presents solutions to the feature correspondence and feature interpolation problems in image morphing. The user specifies the correspondence between the source and the target images by drawing input curves on the features of the objects. The correspondence between these curves at the finest level (pixel level) is computed by optimizing a cost function. Based on this correspondence, t...

This paper proposes a methodology to change the shape of a B-Spline curve locally. Present algorithm modifies the existing B-Spline curve and makes it pass through a given point P, constrained to lie in region R, with limited deviation from the original curve. Proposed methodology splits the curve into atmost three segments based on the curvature of the curve and then modifies only one segment ...

This paper develops an efficient, physically based shape manipulation technique. It defines a 3D model with profile curves, and uses spine curves generated from the profile curves to control the motion and global shape of 3D models. Profile and spine curves are changed into profile and spine wires by specifying proper material and geometric properties together with external forces. The underlyi...

A constructive approach is adopted to build B-spline like basis for cubic spline curves with a more general continuity than beta-continuity. This method provides not only a large variety of very interesting shape controls like biased, point, and interval tensions but, as a special case, also recovers a number of spline methods like nu-spline of Nielson[9], beta-splines[1], gamma-splines of Boeh...

Article history: Received 1 June 2015 Received in revised form 22 December 2015 Accepted 3 February 2016 Available online 6 February 2016

The inverse diffusion curve problem focuses on automatic creation of diffusion curve images that resemble user provided color fields. This problem is challenging since the 1D curves have a nonlinear and global impact on resulting color fields via a partial differential equation (PDE). We introduce a new approach complementary to previous methods by optimizing curve geometry. In particular, we p...

Shape preservation behavior of a spline consists of criterial conditions for preserving convexity, inflection, collinearity, torsion and coplanarity shapes of data polgonal arc. We present our results which acts as an improvement in the definitions of and provide geometrical insight into each of the above shape preservation criteria. We also investigate the effect of various results from the li...

This paper presents an algorithm for blending (that is, smoothly transforming between) two 2{D shapes bounded by piecewise curves. The algorithm searches for the point correspondence between the two shapes which will minimize the energy required to bend and stretch one shape into the other. The new algorithm runs several times faster than does splitting each curve into ve line segments and appl...