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perspective projections

perspective projections

Published in Technology , Art & Photos
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  • 1. Given the end elevation of abook with pages A, B, C, D, Eand F open at thirty degrees toeach other.
  • 2. Draw in the elevation of thebook bringing constructionlines from the end view.
  • 3. Draw the plan of the open book.
  • 4. Draw in the picture plane andthe spectator point.
  • 5. Draw in the horizon line andthe ground line.
  • 6. From the station point, draw a lineparallel to the side of the bookuntil it strikes the picture plane.
  • 7. From this point, perpendicular tothe picture plane drop a line downto the horizon line to establish theright-hand vanishing point.
  • 8. Repeat the previous steps toestablish the left-hand vanishingpoint.
  • 9. Next we have to find the auxiliaryvanishing points.As pages F and B are inclined atthirty degrees, draw a line at thirtydegrees to the parallel line thatestablishes VPR.
  • 10. From the parallel line thatestablishes VPR, draw a lineperpendicular to it where it strikesthe picture plane.
  • 11. Record the distance h and step itoff with a compass directly aboveand below VPR to establish AUXB and AUX F.
  • 12. We can see that pages E and Care inclined at sixty degrees.
  • 13. As pages E and C are inclined atsixty degrees, draw a line atsixty degrees to the parallel linethat establishes VPR.
  • 14. Again draw a perpendicular lineat the picture plane.
  • 15. Record the distance k and step itoff with a compass directlyabove and below VPR toestablish AUX C and AUX E.
  • 16. Now we can see four auxiliaryvanishing points.
  • 17. As this corner of the booktouches the picture plane it is atrue length in perspective.
  • 18. Connect this corner inperspective to the two vanishingpoints to establish the front twosides of the book.
  • 19. Draw lines of sight from thespectator to the two outer cornersof the book in plan.
  • 20. Where these lines of sight cut thepicture plane drop vertical lineswhich will establish the outline ofthe book in perspective.
  • 21. Bring lines of sight back to bothvanishing points from the outeredges of the book.Join page F in plan back to the spectator point.
  • 22. Draw two lines parallel to thepicture plane where these linescut.
  • 23. Auxiliary vanishing point F is usedto draw page F in perspective.
  • 24. The exact same thing is done forpage E. Join page E in plan backto the spectator point.
  • 25. Again draw two lines parallel tothe picture plane where these linescut.
  • 26. Like page F, auxiliary vanishingpoint E is used to draw page E inperspective.
  • 27. Draw in page E.
  • 28. Page D is drawn simply as itdoesn’t need an auxiliaryvanishing point.
  • 29. Pages C and B are drawn usingthe exact same procedure aspages E and F.