9.12 Dual/Gradient Space Concepts

Chapter Contents (Back)
Gradient Space. Dual Space. Aspect Graphs.

Mackworth, A.K.,
Interpreting Pictures of Polyhedral Scenes,
AI(4), No. 2, June 1973, pp. 121-139.
WWW Link. 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.,
The Use of Gradient and Dual Space in Line-Drawing Interpretation,
AI(17), No. 1-3, August 1981, pp. 461-508.
WWW Link. 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], and Kender, J.R.[John R.],
Gradient Space under Orthography and Perspective,
CVGIP(24), No. 2, November 1983, pp. 182-199.
WWW Link. 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.,
Reconstructing Faces on a Polyhedron from Apparent Gradients of Edges,
CVGIP(28), No. 3, December 1984, pp. 289-302.
WWW Link. BibRef 8412

Ishikawa, S.,
Guessing Shape of a Polyhedron form an Imperfect Line Drawing,
ICPR80(1044-1048). BibRef 8000

Sugihara, K.,
Machine Interpretation of Line Drawings,
Cambridge, MA: MIT Press1986. BibRef 8600 Book
PDF File. BibRef

Sugihara, K.,
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.
WWW Link. BibRef 7905

Sugihara, K., and Shirai, Y.,
Range Data Understanding Guided by a Junction Dictionary,
IJCAI77(706). BibRef 7700

Sugihara, K.,
Quantitative Analysis of Line Drawings of Polyhedral Scenes,
ICPR78(771-773). BibRef 7800

Sugihara, K.,
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).

Richardt, J., Karl, F., Muller, C., and 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

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

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.
Complex 3D Shape Recovery Using a Dual-Space Approach,
CVPR05(II: 878-884).
Reconstructing an object surface from silhouettes. Surface points can be recovered, theoretically, as the dual to the tangent plane space of the object. BibRef

Guo, J.[Jun], Chao, H.[Hongyang],
Building Dual-Domain Representations for Compression Artifacts Reduction,
ECCV16(I: 628-644).
Springer DOI 1611

Kwon, Y.P., Kim, H., Konjevod, G., McMains, S.,
Dude (Duality descriptor): A robust descriptor for disparate images using line segment duality,
Detectors BibRef

Brandt, S.S.[Sami S.],
Dual distributions of multilinear geometric entities,
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,
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).

Willersinn, D., Kropatsch, V.G.,
Dual graph contraction for irregular pyramids,

Zhang, Y., Dubuisson, B.,
Projective Duality and Recovery of 3D Straight Lines from a Monocular Image Sequence,
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:Sep 18, 2017 at 11:34:11