Real Time Visualization of Algebraic Surfaces

Johan Simon Seland · BIBSYS Brage (BIBSYS (Norway)) · 2007

An algebraic surface is the zero set of a polynomialRaycasting amounts to "shooting" rays inside a view frustum (VF) and determine if they intersect the surface.Can miss thin features Conceptually "easy" Embarrassingly parallel Assume a screen resolution of (m + 1) × (n + 1) pixels.Pixel (p, q) corresponds to a ray through p and the pixel with coordinates (p/m, q/n).p r pq (t) f a r p l a n e n e a r p l a n e

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