A geometric approach to the offsetting of profiles on three-dimensional surfaces

A geometric approach to the offsetting of profiles on three-dimensional surfaces

This paper presents a method for computing offsets of profiles on three-dimensional surfaces based on processing the intersections of the offset segments. The method does not assume a particular curve representation of the profiles. It covers both closed and open profiles. A two-stage approach of fi...

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Veröffentlicht in:Computer aided design 2004-09, Vol.36 (10), p.887-902
Hauptverfasser: Tam, Hon-Yuen, Law, Hang-Wai, Xu, Haiyin
Format: Artikel
Sprache:eng
Schlagworte:
Intersections
Offsets
Profiles
Three-dimensional surfaces
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Zusammenfassung:This paper presents a method for computing offsets of profiles on three-dimensional surfaces based on processing the intersections of the offset segments. The method does not assume a particular curve representation of the profiles. It covers both closed and open profiles. A two-stage approach of first constructing the local and then the global offset of the progenitor profile is adopted. Conditions governing the construction of those offsets are presented and used for the construction.
ISSN:0010-4485
1879-2685
DOI:10.1016/S0010-4485(03)00151-9