*Mokhtarian, F.*, and
*Mackworth, A.K.*,

**A Theory of Multiscale, Curvature-Based Shape Representation for
Planar Curves**,

*PAMI(14)*, No. 8, August 1992, pp. 789-805.

IEEE DOI Curve representations.
Shape descriptor expected to be an MPEG-7 standard.
BibRef
**9208**

*Mokhtarian, F.[Farzin]*, and
*Mackworth, A.K.*,

**Scale Based Description and Recognition of Planar Curves
and Two-Dimensional Shapes**,

*PAMI(8)*, No. 1, January, 1986, pp. 34-43.
BibRef
**8601**

And:
Authors reply to comments:
*PAMI(8)*, No. 5, September 1986, pp. 675.
BibRef

Earlier: A2, A1:

**Scale Based Description of Planar Curves**,

*CSCSI84*(114-119).
BibRef

And:

**The Renormalized Curvature Scale Space and the
Evolution Properties of Planar Curves**,

*CVPR88*(318-326).

IEEE DOI
*Scale Space*. Represent different scales and generalize to a single
representation. Used for matching parts of boundaries to the whole
boundary.
BibRef

*Mokhtarian, F.[Farzin]*,

**Multi-Scale Contour Segmentation**,

*ScaleSpace97*(xx).
**9702**

BibRef

*Mokhtarian, F.[Farzin]*,
*Suomela, R.[Riku]*,

**Robust Image Corner Detection Through Curvature Scale Space**,

*PAMI(20)*, No. 12, December 1998, pp. 1376-1381.

IEEE DOI
BibRef
**9812**

Earlier:

**Curvature Scale Space for Robust Image Corner Detection**,

*ICPR98*(Vol II: 1819-1821).

IEEE DOI
**9808**

Start with Canny, corners are points where image edges have maximum
curvature. Find in high scale, track through lower scales to get
positions. Proposes an improvement to Canny for 45 and 135 deg. edges.
BibRef

*Mokhtarian, F.[Farzin]*,
*Abbasi, S.[Sadegh]*,

**Affine Curvature Scale Space with Affine Length Parametrisation**,

*PAA(4)*, No. 1, 2001, pp. 1-8.

Springer DOI
**0105**

BibRef

Earlier: A2, A1:

**Curvature Scale Space with Affine Length Parametrisation**,

*ScaleSpace99*(435-440).

See also Curvature Scale Space Image in Shape Similarity Retrieval.
BibRef

*Mokhtarian, F.*,

**Convergence Properties of Curvature and Torsion Scale Space
Representations**,

*BMVC95*(357-366).

PDF File.
**9509**

BibRef

*Mokhtarian, F.*,
*Naito, S.*,

**Scale Properties of Curvature and Torsion Zero-Crossings**,

*ACCV93*(303-308).
BibRef
**9300**

*Mokhtarian, F.*,

**Evolution Properties of Space Curve**,

*ICCV88*(100-105).

IEEE DOI
BibRef
**8800**

*Mokhtarian, F.*,

**Fingerprint Theorems for Curvature and Torsion Zero-Crossings**,

*CVPR89*(269-275).

IEEE DOI
BibRef
**8900**

*Mokhtarian, F.*,

**Multi-Scale Description of Space Curves and Three-Dimensional Objects**,

*CVPR88*(298-303).

IEEE DOI
BibRef
**8800**

*Mokhtarian, F.[Farzin]*,
*Abbasi, S.[Sadegh]*,

**Matching Shapes With Self-Intersections:
Application to Leaf Classification**,

*IP(13)*, No. 5, May 2004, pp. 653-661.

IEEE DOI
**0404**

BibRef

*Mokhtarian, F.*,

**Silhouette-Based Isolated Object Recognition through
Curvature Scale-Space**,

*PAMI(17)*, No. 5, May 1995, pp. 539-544.

IEEE DOI
BibRef
**9505**

Earlier:
add:
*Murase, H.*,

**Silhouette-Based Object Recognition through Curvature Scale Space**,

*ICCV93*(269-274).

IEEE DOI Multi-scale description using zero-crossings and extrema.
BibRef

*Mokhtarian, F.*,

**Silhouette-Based Occluded Object Recognition Through
Curvature Scale-Space**,

*MVA(10)*, No. 3, 1997, pp. 87-97.

Springer DOI
**9709**

BibRef

Earlier:
(no "-")
*ECCV96*(I:566-578).

Springer DOI
BibRef

*Mokhtarian, F.*,

**A Theory of Multiscale, Torsion Based Shape Representation for
Space Curves**,

*CVIU(68)*, No. 1, October 1997, pp. 1-17.

DOI Link
**9710**

BibRef

*Mokhtarian, F.*,

**Robust Criteria for Automatic Multi-Scale Curve Segmentation**,

*SCIA99*(Pattern Recognition).
BibRef
**9900**

*Mokhtarian, F.[Farzin]*,

**Torsion Scale Space Images: Robust Representations for Space Curves**,

*SCIA97*(xx-yy)

HTML Version.
**9705**

BibRef

*Mokhtarian, F.*,

**Multi-Scale, Torsion-Based Shape Representations for Space Curves**,

*CVPR93*(660-661).

IEEE DOI
BibRef
**9300**

*Goshtasby, A.A.*,

**Comments on 'Scale Based Description and Recognition of Planar Curves
and Two-Dimensional Shapes'**,

*PAMI(8)*, No. 5, September 1986, pp. 674-675.

See also Scale Based Description and Recognition of Planar Curves and Two-Dimensional Shapes.
BibRef
**8609**

*Neveu, C.F.[Charles F.]*,
*Dyer, C.R.[Charles R.]*,
*Chin, R.T.[Roland T.]*,

**Two-Dimensional Object Recognition Using
Multiresolution Models**,

*CVGIP(34)*, No. 1, April 1986, pp. 52-65.

Elsevier DOI
*Hough*.
*Recognize Two-Dimensional Objects*. The object is modeled as a graph of the boundary
elements with different models for each resolution. Matching is by
the Hough technique (accumulation array portion of the technique).
It seems similar to an earlier
BibRef
**8604**
*CVPR85*(426-428). paper
with Luo as the first author.
BibRef

*Crowley, J.L.*, and
*Sanderson, A.C.*,

**Multiple Resolution Representation and Probabilistic Matching
of 2-D Gray-Scale Shape**,

*PAMI(9)*, No. 1, January 1987, pp. 113-121.
BibRef
**8701**

And:
*CVWS84*(95-105).
*Multiple Resolutions*. The use of the DOLP transform, derived from Crowley's thesis.
Several levels are computed and the matching proceeds from the
lowest resolution up.
BibRef

*Sanderson, A.C.[Arthur C.]*, and
*Foster, N.[Nigel]*,

**Attributed Image Matching Using a Minimum Representation Size Criterion**,

*CRA89*(360-365).
BibRef
**8900**

*Tortora, G.[Genoveffa]*,
*Costagliola, G.[Gennaro]*,
*Arndt, T.[Timothy]*,
*Chang, S.K.[Shi-Kuo]*,

**Pyramidal Algorithms for Iconic Indexing**,

*CVGIP(52)*, No. 1, October 1990, pp. 26-56.

Elsevier DOI
*Pyramid Structures, Matching*. Matching of the image using a pyramid structure to simplify
the search.
BibRef
**9010**

*Choudhary, A.[Alok]*,
*Ranka, S.[Sanjay]*,

**Mesh and pyramid algorithms for iconic indexing**,

*PR(25)*, No. 9, September 1992, pp. 1061-1067.

Elsevier DOI
**0401**

BibRef

And:
Authors Reply:
*PR(31)*, No. 6, June 1998, pp. 821-822.

Elsevier DOI
**9806**

BibRef

*Arndt, T.[Timothy]*,
*Costagliola, G.[Gennaro]*,
*Chang, S.K.[Shi-Kuo]*,

**Comments on Mesh and Pyramid Algorithms for Iconic Indexing**,

*PR(31)*, No. 6, June 1998, pp. 819-820.

Elsevier DOI
**9806**

BibRef

*Tu, Z.W.[Zhuo-Wen]*,
*Zheng, S.F.[Song-Feng]*,
*Yuille, A.L.[Alan L.]*,

**Shape matching and registration by data-driven EM**,

*CVIU(109)*, No. 3, March 2008, pp. 290-304.

Elsevier DOI
**0802**

Shape matching; Registration; Soft assign; EM; Shape context
BibRef

*Tu, Z.W.[Zhuo-Wen]*,
*Yuille, A.L.[Alan L.]*,

**Shape Matching and Recognition:
Using Generative Models and Informative Features**,

*ECCV04*(Vol III: 195-209).

Springer DOI
**0405**

Generative model for how one shape can be generated by the other.
Allow affine and non-rigid transformations.
DDMCMC (

See also Image Parsing: Unifying Segmentation, Detection, and Recognition. )
Shape Contexts (

See also Shape Matching and Object Recognition Using Shape Contexts. )
Softassign (

See also new point matching algorithm for non-rigid registration, A. )
BibRef

*Drew, M.S.[Mark S.]*,
*Lee, T.K.[Tim K.]*,
*Rova, A.[Andrew]*,

**Shape retrieval with eigen-CSS search**,

*IVC(27)*, No. 6, 4 May 2009, pp. 748-755.

Elsevier DOI
**0904**

BibRef

Earlier: A2, A1, Only:

**3D Object Recognition by Eigen-Scale-Space of Contours**,

*SSVM07*(883-894).

Springer DOI
**0705**

Shape; 2D contour; Scale-space; Matching; Retrieval; Curvature; CSS;
Eigen-analysis
BibRef

Springer DOI

BibRef

*Zhang, X.*,
*Burkhardt, H.*,

**Hierarchical Primitives Based Contour Matching**,

*DAGM02*(298 ff.).

Springer DOI
**0303**

BibRef

*Luo, Y.*,
*Dyer, C.R.*, and
*Chin, R.T.*,

**2-D Object Recognition Using Hierarchical Boundary Segments**,

*CVPR85*(426-428). (Univ. of Wisconsin)
*Pyramid Structure*.
*Recognize Two-Dimensional Objects*. Model driven, pyramid based, coarse to fine matching.
BibRef
**8500**

*Wu, Y.*, and
*Maitre, H.*,

**Registration of a SPOT Image and a
SAR Image Using Multiresolution Representation of a Coastline**,

*ICPR90*(I: 913-917).

IEEE DOI
BibRef
**9000**

*Venkateswar, V.*,

**Hierarchical Representation, Matching and Search
for Some Computer Vision Problems**,

*Ph.D.*Thesis (EE), USC, June 1991.
Uses a Truth Maintenance System to explore the search space
in matching.
For applications:

See also Hierarchical Stereo and Motion Correspondence Using Feature Groupings.
BibRef
**9106**

Chapter on Registration, Matching and Recognition Using Points, Lines, Regions, Areas, Surfaces continues in

Surface Matching, Deformable Surface Matching .

Last update:Jan 24, 2022 at 14:35:49