Reconstruction of surfaces of revolution from measured points

Jiing Yih Lai, Wen Der Ueng

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


The objective of this work was to propose a surface fitting algorithm for the reconstruction of surfaces of revolution from three-dimensional measured points. A surface of revolution can be described by a two-dimensional cross-section curve rotating about an axis. An iterative optimization process was proposed to minimize the root-mean-squares error between each of the measured data and the fitted surface, which yields the optimized rotating axis and the best-fit cross-section curve. This surface fitting algorithm was combined with a B-spline surface fitting algorithm and a surface blending algorithm for the modeling of complex rotational parts. Several examples were presented to demonstrate the feasibility of the proposed strategy.

Original languageEnglish
Pages (from-to)147-161
Number of pages15
JournalComputers in Industry
Issue number2
StatePublished - Mar 2000


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