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Piecewise smooth surface reconstruction (1994)

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by Tony Derose , Tom Duchamp , Mark Halstead , Hubert Jin , John Mcdonald , Jean Schweitzer , Werner Stuetzle
Citations:234 - 12 self
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BibTeX

@TECHREPORT{Derose94piecewisesmooth,
    author = {Tony Derose and Tom Duchamp and Mark Halstead and Hubert Jin and John Mcdonald and Jean Schweitzer and Werner Stuetzle},
    title = {Piecewise smooth surface reconstruction},
    institution = {},
    year = {1994}
}

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Abstract

We present a general method for automatic reconstruction of accurate, concise, piecewise smooth surface models from scattered range data. The method can be used in a variety of applications such as reverse engineering — the automatic generation of CAD models from physical objects. Novel aspects of the method are its ability to model surfaces of arbitrary topological type and to recover sharp features such as creases and corners. The method has proven to be effective, as demonstrated by a number of examples using both simulated and real data. A key ingredient in the method, and a principal contribution of this paper, is the introduction of a new class of piecewise smooth surface representations based on subdivision. These surfaces have a number of properties that make them ideal for use in surface reconstruction: they are simple to implement, they can model sharp features concisely, and they can be fit to scattered range data using an unconstrained optimization procedure.

Citations

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538 Surface reconstruction from unorganized points. SIGGRAPH Computer Graphics 26(2):71–78 Hornung A, Wurm KM, Bennewitz M (2010) Humanoid robot localization in complex indoor environments - Hoppe, DeRose, et al. - 1992
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319 Mesh optimization - Hoppe, DeRose, et al.
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168 T.: Efficient, fair interpolation using Catmull–Clark surface - Halstead, Kass, et al. - 1993
143 A unified approach to subdivision algorithms near extraordinary vertices - Reif - 1995
97 On three-dimensional surface reconstruction methods - Bolle, Vemuri - 1991
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36 Polyhedral subdivision methods for free-form surfaces - Nasri - 1987
35 Curve-Fitting with Piecewise Parametric Cubics - Plass, Stone - 1983
29 Local surface interpolation with B'ezier patches, Computer Aided Geometric Design 4 : 279--295. Errata Computer Aided Geometric Design 6 - Shirman, S'equin
19 Parametric surface interpolation - Lounsbery, Mann, et al. - 1992
16 A transfinite, visually continuous, triangular interpolant, in Geometric Modeling: Algorithms and new - Nielson - 1987
14 Knowledge-driven ultrasonic three-dimensional organ modeling - Brinkley - 1985
14 An adaptive subdivision method for surface fitting from sampled data - Schmitt, Barsky, et al. - 1986
12 Towards an anatomical model of heart motion as seen in 4-d cardiac ultrasound data - Schudy, Ballard - 1979
8 Fitting of surfaces to scattered data - DeRose, Hoppe, et al.
6 Surface reconstruction from scattered measurements - Goshtasby - 1992
6 Model detection of cardiac chambers in ultrasound images - Schudy, Ballard - 1978
4 Boundary-corner control in recursive-subdivision surfaces - Nasri - 1991
4 3D computational morphology. Computer Graphics Forum - Veltkamp - 1993
2 Adaptive G 1 approximation of range data using triangular patches - Schmitt, Chen, et al. - 1991
2 Adaptive G1 approximation of range data using triangular patches - Schmitt, Chen, et al. - 1991
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