ガウス関数に基づくFree-Form Deformation : 対話的なモデル変形のための基礎理論

概要

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Interactive and intuitive modeling is one of the most important issues in geometric modeling. However, modeling a complex object interactively and intuitively is still a difficult problem. In this paper, new Free-Form Deformations (FFDs) based on Gaussian functions are introduced. Different from previous FFDs that are based on Bernstein or B-spline functions, FFDs based on Gaussian functions allow an arbitrary number of control points to be placed in arbitrary positions. Moreover, the standard deviations of Gaussian functions can control the localness of the effects of control points. These facts provide designers with more interactivity and more intuitiveness. The designer can place a manipulation point in the region to be modified, and by changing the standard deviations, the designers can choose the effect of localness of the movement of the manipulation point. The definition of FFDs based on Gaussian functions, as well as several examples of the FFDs, is presented.
1999-07-05