Perturbation Functions in Computer Graphics

Sergey I. Vyatkin, Boris S. Dolgovesov, Mikhail A. Gorodilov
Synthesizing Visualization Systems Laboratory, Siberian Branch of the Russian Academy of Sciences, Russian Federation
Modern Instrumentation, Vol. 2 No. 2, pp. 26-32, 2013


   title={Perturbation Functions in Computer Graphics},

   author={Vyatkin, Sergey I and Dolgovesov, Boris S and Gorodilov, Mikhail A},



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The problem of real-time photorealistic imaging is discussed. New techniques for specifying free forms without their approximation by polygons are considered. Free forms based on the perturbation functions have an advantage of spline representation of surfaces, that is, a high degree of smoothness, and an advantage of arbitrary form for a small number of perturbation functions. Transformations of geometric objects are described for set-theoretic operations, projections, offsetting, and metamorphosis. We propose a GPU solution to render freeform objects at high frame rates.
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