Shape Modelling of Metal Foams of Open/Closed States and their Intermediates by Implicit Function

Recently, to generate metal foam models for either open or closed state, a sphere-function-based method and a radial-basis-function-based one have been proposed. In these methods, implicit functions are employed for representing shapes of metal foams. In this paper, these methods based on spheres and radial basis functions have similarly been extended by employing characteristics of implicit functions, so that open/closed states and their intermediates can be represented. It is an advantage of the extended methods that any states of metal foams can be represented by only one implicit function.