Surface construction by fitting unorganized curves

T. Maekawa*, K. H. Ko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


We present a novel technique to construct a B-spline surface from unorganized curves in 3D space. Unlike the lofting or skinning methods, where the family of curves to be lofted form isoparametric lines of the resulting surface, our method relaxes this restriction and allows a set of curves to take arbitrary orientation and possibly intersect each other. We employ the concept of a curve on a surface which is used in obtaining the arc element of a curve on the surface in differential geometry. This novel technique is useful in surface construction or creation where surfaces are created based on sketches. The surface creation has applications in aesthetic shape design, reverse engineering, computer graphics, and computer animation. This technique is also useful in surface reconstruction where surfaces are constructed from stripes which are made of a series of points lined up in a sequential manner.

Original languageEnglish
Pages (from-to)316-332
Number of pages17
JournalGraphical Models
Issue number5
Publication statusPublished - 2002 Sept
Externally publishedYes


  • Aesthetic shape design
  • Curves on the surface
  • Reverse engineering
  • Surface approximation
  • Surface creation
  • Surface reconstruction

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Geometry and Topology
  • Computer Graphics and Computer-Aided Design


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