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Implicit Surfaces

by: Jules Bloomenthal


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Introduction Implicit surfaces are two-dimensional, geometric shapes that exist in three dimensional space. They are defined according to a particular mathematical form. This article examines their definition, representation, and geometric properties. Related fields are discussed and practical methods are reviewed. Consider a two-dimensional analogy. Oil dropped onto wet pavement produces iridescent, concentric colors. Tracing an infinitesimally thin range of color produces a contour....


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