1 / 28

Restitution and Interpretation of Spatial Representations

lemuel
Download Presentation

Restitution and Interpretation of Spatial Representations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Restitution and Interpretation of Spatial Representations A New Approach for Teaching RepresentationThierry Ciblac, Louis-Paul Untersteller, Pierre Macé  ARIAM - LAREAEcole Nationale Supérieure d’Architecture de Paris la Villette - France[tciblac, lpu, pmace]@paris-lavillette.archi.freCAADe 2006

  2. Restitution and Interpretation of Spatial Representations • Introduction • Case of restitution : polyhedron of « Melencolia I » of A. Dürer • Case of restitution when sketching : inclined skylight • Conclusion

  3. Architects and spatial representations • Precise drawers? • Check and evaluate 3D representations • From 2D to 3D : • mental reconstruction of 3D objects : from 2D images • 3D restitution : 3D model from photographs, sketches in perspective… • What knowledge?

  4. Theoretical tools for restitution Use of geometrical properties, not only drawing knowhow Properties : • Incidence properties in projective geometry • Parallelism, orthogonality properties in affine geometry • Metric properties in Euclidian geometry.

  5. Case of restitution :polyhedron of « Melencolia I »of A. Dürer(1514)

  6. Coherence of the 2D representation :Correction of the drawing • Hypothesis : Plane faces • Tools : Incidence properties. « 3 planes meet in one point » =B’3 E’’ E’’

  7. Coherence of the 2D representation :Determination of hidden lines • Hypothesis : Plane faces but no hypothesis of parallelism. • Tools : Incidence properties, auxiliary planes.

  8. Coherence of hidden lines :Comparison with a sketch of Dürer

  9. Parallelism :Correction for parallel faces • Hypotheses : Plane faces, parallelism of opposite faces. magenta : parallelepiped orange : triangles in parallel planes • Tools : incidence properties, vanishing points (parallelism). pf1, pf1, pf3 : vanishing points of the direction of edges of a parallelepiped closed to the polyhedron

  10. Parallelism :rebuilt polyhedron’s projection Comparison with the sketch : magenta : parallelepiped orange : triangles in parallel planes black : corrected sketch

  11. Use of duality for correctiona complementary tool

  12. Symetry and Orthogonality :principal point, principal distance • New Hypothesis : • equilateral triangles (give two couples of orthogonal directions)

  13. 3D RestitutionUsing « Photomodeler » Hypotheses : The principal point and principal distance are known. Symmetry of 120° according to a « vertical » axis. Initial position rotation of 120° rotation of 240°

  14. 3D RestitutionUsing « Photomodeler »

  15. Case of restitution when sketching :inclined skylightinspired by the Vitra museum of F. Ghery

  16. Conclusion • Powerful theoretical tools • Implementation (Grassman Cayley algebra…) • Research : sketch restitution (Gina Project…) • Teaching these tools to architects…

  17. ?

More Related