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Based on Wavelet Analysis Method B-spline surface modeling studies

Author: ZhangMei
Tutor: WuPeiNian
School: Harbin Institute of Technology
Course: Mechanical Design and Theory
Keywords: Wavelet Analysis B-spline surfaces Multi-resolution Fairing
CLC: TP391.72
Type: Master's thesis
Year: 2008
Downloads: 29
Quote: 0
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Abstract


In recent years, multi-resolution modeling techniques in the field of computer graphics are more and more attention. Which is to construct a multi-resolution wavelet analysis method of geometric shapes, for any number of control points of B-spline surfaces wavelet analysis, one commonly used method is to convert it to meet the control vertices of integer order B-spline surface multi- resolution representation, this algorithm is complicated and easy to introduce additional error. Knot insertion algorithm for B-spline surfaces with arbitrary promote or demote processed, but not in the wavelet analysis surface editing flexibility. This topic will address the above issues knot insertion algorithm is applied to the surface of the wavelet decomposition and reconstruction. By inserting the node in the node vector is obtained B-spline wavelet reconstruction matrix, then calculate a new control surface vertex matrix B-spline surface to achieve a multi-resolution analysis. In this way, the realization of any of the control points of B-spline surfaces for multi-resolution analysis directly, you can also make use of wavelet multi-resolution characteristics of the surface can be edited. Combined with the proposed algorithm, this paper respectively integer order and non-integer order B-spline surfaces wavelet decomposition and reconstruction process is studied. For the resolution of integers B-spline surface control points that satisfy (2 j 1 3) × (2 j 2 < / sup> 3), in the definition section, each node is inserted between two nodes; For the resolution of non-integer B-spline surface, the principle is uniform knot insertion inserts, the number of nodes to be inserted determined by the control points . Before and after using the node into B-spline basis functions solved between wavelet reconstruction matrix surface, surface analysis of the specific wavelet decomposition and reconstruction process. Verified by experiments using MATLAB software, the algorithm, respectively, of a resolution of integer and non-integer B-spline surfaces using multi-resolution analysis. Finally, using this algorithm to B-spline surfaces for smooth multi-resolution editing and processing. Surface Editing mainly divided into the overall editorial and local editing, by modifying the low resolution and detail parts to modify part of the control vertices B-spline surface contours and details of the overall contour; editor in the local surface, the first node insertion algorithm will use the part of the surface to be split edit, editing, and then spliced ​​together by a certain continuity; surface smoothing is achieved through the wavelet decomposition, the lower the resolution, the smoother the surface, to be maintained at a certain tolerance range.

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CLC: > Industrial Technology > Automation technology,computer technology > Computing technology,computer technology > Computer applications > Information processing (information processing) > Machine-assisted technology > Machine -aided design (CAD), aided drawing
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