Catmull-Rom splines have local control, can be either approximating or interpolating, and
are efficiently computable. Experience with Beta-splines has shown that it is useful to endow …

It is known that certain Catmull-Rom splines [7] interpolate their control vertices and share
many properties such as affine invariance, global smoothness, and local control with B …

This paper presents a new model of spline curves and surfaces. The main characteristic of
this model is that it has been created from scratch by using a kind of mathematical …

We present a class of non-polynomial parametric splines that interpolate the given control
points and show that some curve types in this class have a set of highly desirable properties …

A rational cubic spline, with shape control parameters, has been discussed here with the
view to its application in computer graphics. It incorporates both conic sections and …

As the field of computer graphics develops, techniques for modeling complex curves and
surfaces are increasingly important. A major technique is the use of parametric splines in …

This paper presents a new method for using cubic interpolating splines in a key frame
animation system. Three control parameters allow the animator to change the tension …

Some observations are made concerning the source and nature of shape parameters. It is
then described how Bezier curve segments can be stitched together with G/sup 1/or G/sup …

A number of techniques are presented for making conic splines more effective for 2D
computer graphics. We give a brief account of the theory of conic splines oriented to …

An algorithm for creating smooth spline surfaces over irregular meshes is presented. The
algorithm is a generalization of quadratic B-splines; that is, if a mesh is (locally) regular, the …