A note on least-norm solution of global WireWarping

Charlie C.L. Wang

doi:10.1016/j.cad.2009.04.008

A note on least-norm solution of global WireWarping

Charlie C.L. Wang

Mechanical and Aeronautical Engineering Division L5

Research output: Contribution to journal › Article › peer-review

Abstract

WireWarping [Wang CCL, WireWarping: A fast surface flattening approach with length-preserved feature curves. Computer-Aided Design 2008;40(3):381-95] is a fast surface flattening approach, which presents a very important property of length-preservation on feature curves. The global scheme of WireWarping formulates the warping problem into an optimization in angle space and solves it by using Newton's method. However, some diverging examples were found in our recent tests. This technical note presents a least-norm solution in terms of angle-error for the global WireWarping. The experimental tests show that the least-norm solution is more robust than the Newton's algorithm.

Original language	English
Pages (from-to)	695-698
Number of pages	4
Journal	CAD Computer Aided Design
Volume	41
Issue number	9
DOIs	https://doi.org/10.1016/j.cad.2009.04.008
Publication status	Published - 1 Sept 2009

Keywords

Least-norm solution
Length-preserved
Surface flattening
WireWarping

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10.1016/j.cad.2009.04.008

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abstract = "WireWarping [Wang CCL, WireWarping: A fast surface flattening approach with length-preserved feature curves. Computer-Aided Design 2008;40(3):381-95] is a fast surface flattening approach, which presents a very important property of length-preservation on feature curves. The global scheme of WireWarping formulates the warping problem into an optimization in angle space and solves it by using Newton's method. However, some diverging examples were found in our recent tests. This technical note presents a least-norm solution in terms of angle-error for the global WireWarping. The experimental tests show that the least-norm solution is more robust than the Newton's algorithm.",

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AB - WireWarping [Wang CCL, WireWarping: A fast surface flattening approach with length-preserved feature curves. Computer-Aided Design 2008;40(3):381-95] is a fast surface flattening approach, which presents a very important property of length-preservation on feature curves. The global scheme of WireWarping formulates the warping problem into an optimization in angle space and solves it by using Newton's method. However, some diverging examples were found in our recent tests. This technical note presents a least-norm solution in terms of angle-error for the global WireWarping. The experimental tests show that the least-norm solution is more robust than the Newton's algorithm.

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A note on least-norm solution of global WireWarping

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Keywords

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