Abstract
Equi-density surface like MetaBall is widely used in Computer Graphics. At this field, the shape appearance of models is an important point. In the stage of conceptual design of industrial products, higher shape quality (geometrical continuity, shape constraints, etc) than in Computer Graphics is required. In this paper, we describe a new polynomial influential function using Bernstein polynomials. This function has some control parameters. By controlling these parameters, one can manipulate equi-density shapes locally with preserving higher geometrical continuity. In order to control these parameters globally, the surface can strictly express given shapes (circular edges, right-angled corners, etc.) that are important for industrial design.
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