S. I. Vyatkin, B. S. Dolgovesov and A. T. Valetov, “Geometric Operations for Functionally Defined Objects Using Perturbation Functions,” Optoelectronics, Vol. 40, No. 1, 2004, pp. 65-73.

has been cited by the following article:

• TITLE: Perturbation Functions in Computer Graphics

  AUTHORS: Sergey I. Vyatkin, Boris S. Dolgovesov, Mikhail A. Gorodilov

  KEYWORDS: Geometric Objects; Perturbation Functions; Geometric Operations

  JOURNAL NAME: Modern Instrumentation, Vol.2 No.2, April 30, 2013

  ABSTRACT: 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.