BibTeX
@MISC{Bajaj97implicitsurface,
author = {Chandrajit L. Bajaj},
title = {Implicit Surface Patches},
year = {1997}
}
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Abstract
Contents 1 Introduction 2 2 Mathematical Preliminaries 2 3 Curvlinear Mesh Scheme 5 4 Simplex and Box Based Schemes 7 4.1 Smooth Interpolation of a Polyhedron with C 1 A-patches : : : : : : : : : : : : : : : : : 7 4.2 Smooth Interpolation with C 2 A-patches : : : : : : : : : : : : : : : : : : : : : : : : : : : 12 4.3 Smooth Reconstruction of Surfaces and Functions-on-Surfaces from Scattered Data : : : 12 5 Subdivision Based Schemes 15 6 Conclusion 20 B1: A-Patches 2 1 Introduction While it is possible to model a general closed surface of arbitrary genus as a single implicit surface patch, the geometry of such a global surface is difficult to specify, interactively control, and polygonize. The main difficulties stem from the fact that implicit representations are iso-contours which generally have multiple real sheets, se
