After reviewing three classical sampling methods for implicit objects, we describe a new sampling method that is not based on scanning the ambient space. Introduction In computer graphics, an object is described either by a set of sample points or by an analytic scheme that uses mathematical equations to define its geometry and topology.
Descriptions based on samples occur in areas such as medical images and terrain models.
Analytical descriptions are usually found in applications of geometric modeling, such computeraided design and manufacture. Sampling implicit objects with physically-based particle systems. Sampling implicit objects with physically-based particle systems. A new method for solving nonlinear simultaneous equations - Incerti, Parisi et al.