In this paper simple quartic trigonometric polynomial blending functions, with a tensionparameter, are presented. These type of functions are useful for constructing trigonometricB´ezier curves and surfaces, they can be applied to construct continuous shape preservinginterpolation spline curves with shape parameters. To better visualize objects and graphics atension parameter is included. In th...

When an ordering among parameters is known in advance,the problem of estimating the smallest or the largest parametersarises in various practical problems. Suppose independent randomsamples of size ni drawn from two gamma distributions withknown arbitrary shape parameter no_i > 0 and unknown scale parameter beta_i > 0, i = 1, 2. We consider the class of mixed estimators of 1 and 2 under the res...

Among the variables in product design, shape parameters have a relatively strong influence on the success of the product in the market. This is especially true for parameters controlling the visual appearance of consumer goods. Decisions about the type and values of the parameters are therefore critical. However, the information on which these decisions could be based is typically lacking, or c...

Metamorphosis, or morphing, is the gradual transformation of one shape into another. It generally consists of two subproblems: the correspondence problem and the interpolation problem. This paper presents a solution to the interpolation problem of transforming one polyhedral model into another. It is an extension of the intrinsic shape interpolation scheme (T. W. Sederberg, P. Gao, G. Wang and ...

We present a method for deriving shape space parameters that are consistent with immunological data, and illustrate the method by deriving shape space parameters for a model of cross-reactive memory. Cross-reactive memory responses occur when the immune system is primed by one strain of a pathogen and challenged with a related, but different, strain. Much of the nature of a cross-reactive respo...

Aggregates constitute major part of the pavement structure. The engineering properties of the aggregates, as well as its shape (i.e. form and angularity) and texture, substantially affect the overall performance of the pavement (Kuo and Freeman 1998, Maerz 2004). A number of researchers reported that form and surface texture of aggregates have significant effect on the mechanical property of th...