Abstract
AbstractA high‐quality triangular meshing is proposed for surfaces defined by linear Lie algebra. It is known that linear Lie algebra can define a variety of surfaces including a certain type of nonalgebraic surfaces as well as algebraic ones. Therefore, it is also applicable to the field of computer vision. However, in a case of visualizing efficiently such surfaces by computer graphics, an adaptive approximation of the surfaces is necessary. In this paper, by considering fluctuation of the normal vector in the neighborhood of an obtained point on the surface, an adaptive meshing algorithm is presented, which holds high‐quality approximation of the object. © 2002 Wiley Periodicals, Inc. Syst Comp Jpn, 33(10): 64–73, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/scj.1158
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