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[Her80]  How to Merge Hidden Arcs and Then Not Draw Them

Herbison:1980:HMH (Article)
Author(s)Herbison-Evans D.
Title« How to Merge Hidden Arcs and Then Not Draw Them »
JournalComputers & Graphics
Volume5
Number2--4
Page(s)79--81
Year1980

Abstract
The procedures described here apply to a process which is formulated as a function of a continuous scalar parameter over a finite range. The problem considered is how to generate the function with the parameter being incremented in a series of discrete steps, when a series of subranges of parameter values are to be omitted. The application described is the function of drawing of ellipsoid outlines when parts of the outlines are obscured by other ellipsoids. The scalar parameter is an auxiliary angle running around the outline from 0 to 2 PI, Greek which is incremented in finite steps generating a series of points around the outline. These are connected by chords giving a polygonal approximation to the outline. It is shown that it is desirable to do the drawing using an ordered consolidated list of parameter values at the starts and ends of the hidden arcs. Algorithms for generating and using this list are presented and discussed. Generalisations of the procedures are discussed.

BibTeX code
@article{Herbison:1980:HMH,
  number = {2--4},
  optnote = {},
  author = {Don Herbison-Evans},
  optkey = {},
  optannote = {},
  localfile = {papers/Herbison.1980.HMH.pdf},
  optkeywords = {Algorithmic Aspects hidden line/surface removal},
  optmonth = {},
  doi = {http://dx.doi.org/10.1016/0097-8493(80)90010-2},
  journal = j-CAG,
  volume = {5},
  optstatus = {url abstract},
  abstract = {The procedures described here apply to a process which is
              formulated as a function of a continuous scalar parameter over a
              finite range. The problem considered is how to generate the
              function with the parameter being incremented in a series of
              discrete steps, when a series of subranges of parameter values are
              to be omitted. The application described is the function of
              drawing of ellipsoid outlines when parts of the outlines are
              obscured by other ellipsoids. The scalar parameter is an auxiliary
              angle running around the outline from to 2 PI, Greek which is
              incremented in finite steps generating a series of points around
              the outline. These are connected by chords giving a polygonal
              approximation to the outline. It is shown that it is desirable to
              do the drawing using an ordered consolidated list of parameter
              values at the starts and ends of the hidden arcs. Algorithms for
              generating and using this list are presented and discussed.
              Generalisations of the procedures are discussed. },
  title = {{H}ow to {M}erge {H}idden {A}rcs and {T}hen {N}ot {D}raw {T}hem},
  year = {1980},
  pages = {79--81},
}

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