*Mackworth, A.K.*,

**Interpreting Pictures of Polyhedral Scenes**,

*AI(4)*, No. 2, June 1973, pp. 121-139.

Elsevier DOI
BibRef
**7306**

Earlier:
*IJCAI73*(557-563).
*System: Poly*.
Introduce the dual space concept for interpreting scenes.
BibRef

*Huffman, D.A.*,

**Surface Curvature and Applications of the Dual Representation**,

*CVS78*(213-222).
BibRef
**7800**

*Huffman, D.A.*,

**A Duality Concept for the Analysis of Polyhedral Scenes**,

*MI(8)*, 1977, pp. 475-492.
Introduce the dual space concepts.
See also Impossible Objects as Non-Sense Sentences.
BibRef
**7700**

*Draper, S.W.[Stephen W.]*,

**The Use of Gradient and Dual Space in Line-Drawing Interpretation**,

*AI(17)*, No. 1-3, August 1981, pp. 461-508.

Elsevier DOI A critique of Mackworth and Huffman techniques.
Proves that Mackworth (Poly system) is valid under perspective
and thus dual space is not the important element in
his approach. Introduce sidedness reasoning for both
orthographic and perspective projections.
BibRef
**8108**

*Shafer, S.A.[Steven A.]*,
*Kanade, T.[Takeo]*,
*Kender, J.R.[John R.]*,

**Gradient Space under Orthography and Perspective**,

*CVGIP(24)*, No. 2, November 1983, pp. 182-199.

Elsevier DOI
BibRef
**8311**

Earlier:
*CVWS82*(26-34).
BibRef

And:
*DARPA82*(265-273).
Discussion of Mackworth's gradient space.
See also Interpreting Pictures of Polyhedral Scenes.
BibRef

*Ishikawa, S.[Seiji]*,

**Reconstructing Faces on a Polyhedron from Apparent Gradients of Edges**,

*CVGIP(28)*, No. 3, December 1984, pp. 289-302.

Elsevier DOI
BibRef
**8412**

Earlier:

**Guessing Shape of a Polyhedron form an Imperfect Line Drawing**,

*ICPR80*(1044-1048).
BibRef

*Sugihara, K.[Kokichi]*,

**Machine Interpretation of Line Drawings**,

Cambridge, MA:
*MIT Press*1986.
BibRef
**8600**
*Book*

PDF File.
BibRef

*Sugihara, K.[Kokichi]*,

**A Necessary and Sufficient Condition for a
Picture to Represent a Polyhedral Scene**,

*PAMI(6)*, No. 5, September 1984, pp. 578-586.
Algebraic inequalities necessary and sufficient for a line
drawing to represent a scene under orthographic projection.
BibRef
**8409**

*Sugihara, K.[Kokichi]*,

**Range Data Analysis Guided by a Junction Dictionary**,

*AI(12)*, No. 1, May 1979, pp. 41-69.

Elsevier DOI
BibRef
**7905**

*Sugihara, K.[Kokichi]*,
*Shirai, Y.*,

**Range Data Understanding Guided by a Junction Dictionary**,

*IJCAI77*(706).
BibRef
**7700**

*Sugihara, K.[Kokichi]*,

**Quantitative Analysis of Line Drawings of Polyhedral Scenes**,

*ICPR78*(771-773).
BibRef
**7800**

*Sugihara, K.[Kokichi]*,

**Automatic Construction of Junction Dictionaries and Their Exploitation
of the Analysis of Range Data**,

*IJCAI79*(859-864).
BibRef
**7900**

*Gigus, Z.*, and
*Malik, J.*,

**Computing the Aspect Graph for Line Drawings of Polyhedral Objects**,

*PAMI(12)*, No. 2, February 1990, pp. 113-122.

IEEE DOI
BibRef
**9002**

Earlier:
*CVPR88*(654-661).

IEEE DOI
BibRef

*Richardt, J.*,
*Karl, F.*,
*Muller, C.*,
*Klette, R.*,

**The Fuzzy Local-Global Duality in Detecting Pictorial Patterns**,

*PRL(17)*, No. 2, February 8 1996, pp. 187-195.
BibRef
**9602**

*Sethi, A.[Amit]*,
*Renaudie, D.[David]*,
*Kriegman, D.J.[David J.]*,
*Ponce, J.[Jean]*,

**Curve and Surface Duals and the Recognition of Curved 3D Objects from
their Silhouettes**,

*IJCV(58)*, No. 1, June 2004, pp. 73-86.

DOI Link
**0403**

BibRef

*Renaudie, D.*,
*Kriegman, D.J.*,
*Ponce, J.*,

**Duals, Invariants, and the Recognition of Smooth Objects from their
Occluding Contour**,

*ECCV00*(I: 784-798).

Springer DOI

PDF File.
**0003**

BibRef

*Liang, C.[Chen]*,
*Wong, K.Y.K.[Kwan-Yee K.]*,

**Robust Recovery of Shapes with Unknown Topology from the Dual Space**,

*PAMI(29)*, No. 12, December 2007, pp. 2205-2216.

IEEE DOI
**0711**

BibRef

Earlier:

**Complex 3D Shape Recovery Using a Dual-Space Approach**,

*CVPR05*(II: 878-884).

IEEE DOI
**0507**

Reconstructing an object surface from silhouettes.
Surface points can be recovered, theoretically, as the dual to the
tangent plane space of the object.
BibRef

IEEE DOI

BibRef

Earlier:

Springer DOI

Discrete cosine transforms, Encoding, Gallium nitride, Image coding, Neural networks, Proposals, Transform coding BibRef

*Kwon, Y.P.*,
*Kim, H.*,
*Konjevod, G.*,
*McMains, S.*,

**Dude (Duality descriptor):
A robust descriptor for disparate images using line segment duality**,

*ICIP16*(310-314)

IEEE DOI
**1610**

Detectors
BibRef

*Brandt, S.S.[Sami S.]*,

**Dual distributions of multilinear geometric entities**,

*CVPR09*(2679-2686).

IEEE DOI
**0906**

Generalized dual representations.
BibRef

*Hartley, R.I.[Richard I.]*,
*Debunne, G.[Gilles]*,

**Dualizing Scene Reconstruction Algorithms**,

*SMILE98*(xx-yy).
BibRef
**9800**

*Cross, G.[Geoffrey]*, and
*Zisserman, A.[Andrew]*,

**Quadric Reconstruction from Dual-Space Geometry**,

*ICCV98*(25-31).

IEEE DOI
BibRef
**9800**

*Wang, J.[Jian]*,
*Bowyer, K.W.*,
*Sanocki, T.A.*,
*Sarkar, S.*,

**The effect of edge strength on object recognition from edge images**,

*ICIP98*(III: 45-49).

IEEE DOI
**9810**

BibRef

*Willersinn, D.*,
*Kropatsch, V.G.*,

**Dual graph contraction for irregular pyramids**,

*ICPR94*(C:251-256).

IEEE DOI
**9410**

BibRef

*Zhang, Y.*,
*Dubuisson, B.*,

**Projective Duality and Recovery of 3D Straight Lines from a
Monocular Image Sequence**,

*ICPR92*(I:345-348).

IEEE DOI
BibRef
**9200**

Chapter on 3-D Shape from X -- Shading, Textures, Lasers, Structured Light, Focus, Line Drawings continues in

Surface and Shape from Contours or Silhouettes .

Last update:Aug 16, 2018 at 18:22:30