Catmull-Clark surface fitting for reverse engineering applications Export

@proceedings{citeulike:2857020, abstract = {Reverse engineering is an approach for reconstructing a computer model from physical object through dimensional measurement and surface modelling. Various mathematical models have be discussed for the representation of free form surfaces in the context of reverse engineering applications. Most of the existing algorithms are, however, mainly developed for fitting isolated surfaces and one must smoothly connect these surfaces afterwards. This paper presents a procedure for simultaneously fitting smoothly connected multiple surfaces from point clouds with arbitrary topology. The final fitted surfaces are represented as Catmull-Clark surfaces, a network of smoothly connected bicubic B-spline surfaces with a finite number of B-spline subdivision surface patches next to extraordinary corner points. The final fitted surfaces are perfect G2 continuous across all surface boundaries except at a finite number of extraordinary points where G1 continuity is obtained. The algorithm is purely a linear least squares fitting procedure without any constraints}, author = {Ma, Weiyin and Zhao, Nailiang}, booktitle = {Geometric Modeling and Processing 2000. Theory and Applications. Proceedings}, citeulike-article-id = {2857020}, citeulike-linkout-0 = {http://dx.doi.org/10.1109/GMAP.2000.838259}, citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=838259}, doi = {10.1109/GMAP.2000.838259}, journal = {Geometric Modeling and Processing 2000. Theory and Applications. Proceedings}, keywords = {3d\_reconstruction, surface\_fitting, thesis}, pages = {274--283}, posted-at = {2008-06-02 14:56:24}, priority = {2}, title = {Catmull-Clark surface fitting for reverse engineering applications}, url = {http://dx.doi.org/10.1109/GMAP.2000.838259}, year = {2000} }

TY - CONF ID - citeulike:2857020 L3 - citeulike-article-id:2857020 N2 - Reverse engineering is an approach for reconstructing a computer model from physical object through dimensional measurement and surface modelling. Various mathematical models have be discussed for the representation of free form surfaces in the context of reverse engineering applications. Most of the existing algorithms are, however, mainly developed for fitting isolated surfaces and one must smoothly connect these surfaces afterwards. This paper presents a procedure for simultaneously fitting smoothly connected multiple surfaces from point clouds with arbitrary topology. The final fitted surfaces are represented as Catmull-Clark surfaces, a network of smoothly connected bicubic B-spline surfaces with a finite number of B-spline subdivision surface patches next to extraordinary corner points. The final fitted surfaces are perfect G2 continuous across all surface boundaries except at a finite number of extraordinary points where G1 continuity is obtained. The algorithm is purely a linear least squares fitting procedure without any constraints JF - Geometric Modeling and Processing 2000. Theory and Applications. Proceedings EP - 283 TI - Catmull-Clark surface fitting for reverse engineering applications T2 - Geometric Modeling and Processing 2000. Theory and Applications. Proceedings SP - 274 KW - 3d_reconstruction KW - surface_fitting KW - thesis AU - Ma, Weiyin AU - Zhao, Nailiang PY - 2000/// UR - http://dx.doi.org/10.1109/GMAP.2000.838259 ER -