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Pi-surfaces: products of implicit surfaces towards constructive composition of 3D objects

Raposo, A. ; Gomes, A.

Pi-surfaces: products of implicit surfaces towards constructive composition of 3D objects, Proc International Conf. in Central Europe on Computer Graphics, Visualization and Computer Vision - WSCG, Plzen, Czech Republic, Vol. , pp. - , May, 2019.

Digital Object Identifier: 10.24132/CSRN.2019.2901.1.13

Abstract
Implicit functions provide a fundamental basis to model 3D objects, no matter they are rigid or deformable, in
computer graphics and geometric modeling. This paper introduces a new constructive scheme of implicitly-defined
3D objects based on products of implicit functions. This scheme is in contrast with popular approaches like
blobbies, meta balls and soft objects, which rely on the sum of specific implicit functions to fit a 3D object to a set
of spheres.