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[Bar84]  Global and Local Deformations of Solid Primitives

Barr:1984:GLD (Article)
Author(s)Barr A.
Title« Global and Local Deformations of Solid Primitives »
JournalACM SIGGRAPH Computer Graphics, Proceedings of ACM SIGGRAPH 84 (Minneapolis, MN, July 23--27, 1984)
Volume18
Number3
Page(s)21--30
Year1984

Abstract
New hierarchical solid modeling operations are developed, which simulate twisting, bending, tapering, or similar transformations of geometric objects. The chief result is that the normal vector of an arbitrarily deformed smooth surface can be calculated directly from the surface normal vector of the undeformed surface and a transformation matrix. Deformations are easily combined in a hierarchical structure, creating complex objects from simpler ones. The position vectors and normal vectors in the simpler objects are used to calculate the position and normal vectors in the more complex forms; each level in the deformation hierarchy requires an additional matrix multiply for the normal vector calculation. Deformations are important and highly intuitive operations which ease the control and rendering of large families of three-dimensional geometric shapes.

BibTeX code
@article{Barr:1984:GLD,
  number = {3},
  volume = {18},
  month = jul,
  author = {Alan H. Barr},
  optkey = {},
  optstatus = {url},
  abstract = {New hierarchical solid modeling operations are developed, which
              simulate twisting, bending, tapering, or similar transformations
              of geometric objects. The chief result is that the normal vector
              of an arbitrarily deformed smooth surface can be calculated
              directly from the surface normal vector of the undeformed surface
              and a transformation matrix. Deformations are easily combined in a
              hierarchical structure, creating complex objects from simpler
              ones. The position vectors and normal vectors in the simpler
              objects are used to calculate the position and normal vectors in
              the more complex forms; each level in the deformation hierarchy
              requires an additional matrix multiply for the normal vector
              calculation. Deformations are important and highly intuitive
              operations which ease the control and rendering of large families
              of three-dimensional geometric shapes.},
  title = {{G}lobal and {L}ocal {D}eformations of {S}olid {P}rimitives},
  localfile = {papers/Barr.1984.GLD.pdf},
  doi = {http://doi.acm.org/10.1145/964965.808573},
  pages = {21--30},
  journal = SIGGRAPH84,
  year = {1984},
  organization = {ACM},
}

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