Perspective angle trnsform and its application to 3-D configuration recovery

Takeshi Shakunaga, Hiroshi Kaneko

Research output: Contribution to conferencePaperpeer-review

8 Citations (Scopus)


A relation between apparent and real angles in perspective projection is applied to the 3-D configuration recovery from images. The relation, called a perspective angle transform (PAT) is extracted using a new type of coordinate system. The properties of the perspective angle transform are also discussed, as is 3-D configuration recovery from three arbitrary line segments in the image plane. This recovery corresponds to a generalization of the right-angled interpretation problem proposed and discussed by S. T. Barnard (1980). A geometric and algebraic solution of the problem, using the general PAT form in conjunction with the concept of virtual crossing point, is given. Algebraic solutions for the right-angled interpretation problem are obtained by solving a quadratic equation.
Original languageEnglish
Number of pages8
Publication statusPublished - 1986
Externally publishedYes


  • perspective angle transform

ASJC Scopus subject areas

  • Computer Science(all)


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