See also Ribbon Descriptions. See also Symmetries in Two Dimensions.

*Rosenfeld, A.*,

**Axial Representation of Shape**,

*CVGIP(33)*, No. 2, February 1986, pp. 156-173.

WWW Link. Detailed discussion of
usefulness with respect to description and reconstruction of various
techniques.
Blum (
See also Transformation for Extracting New Descriptions of Shape, A. ),
Brooks (
See also Goal-Directed Edge Linking and Ribbon Finding. ) and
Brady (
See also Smoothed Local Symmetries and Their Implementation. ) papers to represent ribbons.
BibRef
**8602**

*Gauch, J.M.*, and
*Pizer, S.M.*,

**The Intensity Axis of Symmetry
and Its Application to Image Segmentation**,

*PAMI(15)*, No. 8, August 1993, pp. 753-770.

IEEE DOI Describe both the spatial and intensity variations
together rather than separately. Used to generate choerent regions.
BibRef
**9308**

*Gauch, J.M.[John M.]*,

**Multiresolution Image Shape Description**,

*Springer-Verlag*New York, 1992.
ISBN 0-387-97682-5.
BibRef
**9200**

*Pizer, S.M.*,
*Oliver, W.R.*, and
*Bloomberg, S.H.*,

**Hierarchical Shape Description Via the
Multiresolution Symmetric Axis Transform**,

*PAMI(9)*, No. 4, July 1987, pp. 505-511.
Direct extraction of the skeleton from the image.
See also Three-Dimensional Shape Description Using the Symmetric Axis Transform.
BibRef
**8707**

*Pizer, S.M.*,
*Burbeck, C.A.*,
*Coggins, J.M.*,
*Fritsch, D.S.*,
*Morse, B.S.*,

**Object Shape Before Boundary Shape: Scale-Space Medial Axes**,

*JMIV(4)*, 1994, pp. 303-313.
Multi-scale ridge detection.
BibRef
**9400**

*Asada, H.*, and
*Brady, M.*,

**The Curvature Primal Sketch**,

*PAMI(8)*, No. 1, January 1986, pp. 2-14.
BibRef
**8601**

Earlier:
*CVWS84*(8-17).
BibRef

And:
*MIT AI Memo*-758, February 1984.
*Primal Sketch*. The basic representation as used in their other papers.
BibRef

*Rom, H.*, and
*Medioni, G.G.*,

**Hierarchical Decomposition and Axial Shape Description**,

*PAMI(15)*, No. 10, October 1993, pp. 973-981.

IEEE DOI
BibRef
**9310**
*USC Computer Vision*
BibRef

Earlier:

**Hierarchical Decomposition and Axial Representation of Shape**,

*CVPR92*(49-55).

IEEE DOI
BibRef

And:
*DARPA92*(607-613).
BibRef

And:
*SPIE(1570)*, 1991, pp. 262-273.
Two-dimensional axial representation of shapes for recognition, etc.
BibRef

*Sherbrooke, E.C.*,
*Patrikalakis, N.M.*,
*Wolter, F.E.*,

**Differential and Topological Properties of Medial Axis Transforms**,

*GMIP(58)*, No. 6, November 1996, pp. 574-592.
**9701**

BibRef

*Wolter, F.E.[Franz-Erich]*,

**Cut Locus and Medial Axis in
Global Shape Interrogation and Representation**,

*MIT Design Lab*Memorandum 92-2, December 1993.

PDF File.
BibRef
**9312**

*Wolter, F.E.*, and
*Friese, K.I.*,

**Local and Global Geometric Methods for Analysis Interrogation,
Reconstruction, Modification and Design of Shape**,

*CGI00*(xx-yy)

WWW Link.
BibRef
**0001**

*Kunze, R.*,
*Wolter, F.E.*,
*Rausch, T.*,

**Geodesic Voronoi Diagrams on Parametric Surfaces**,

*CGI97*(230-237).

WWW Link.
BibRef
**9700**

*Sharaiha, Y.M.*, and
*Garat, P.*,

**Digital Straightness and the Skeleton Property**,

*PRL(16)*, 1995, pp. 417-423.
BibRef
**9500**

*Liang, E.H.*,
*Wang, E.K.*,

**An Efficient Method for Obtaining Morphological Skeletons**,

*PRL(14)*, 1993, pp. 689-695.
BibRef
**9300**

*Sirjani, A.*,
*Cross, G.R.*,

**On Representation of a Shape's Skeleton**,

*PRL(12)*, 1991, pp. 149-154.
BibRef
**9100**

*Parui, S.K.*,

**A Parallel Algorithm for Decomposition of Binary Objects
Through Skeletonization**,

*PRL(12)*, 1991, pp. 235-240.
BibRef
**9100**

*Pasan, F.*,
*Vuerli, C.*,

**Core-Line Tracing for Fuzzy Image Subsets**,

*PRL(4)*, 1986, pp. 93-98.
BibRef
**8600**

*Cardoner, R.*,
*Thomas, F.*,

**Residuals Plus Directional Gaps Equals Skeletons**,

*PRL(18)*, No. 4, April 1997, pp. 343-353.
**9708**

BibRef

*Shaked, D.[Doron]*,
*Bruckstein, A.M.[Alfred M.]*,

**Pruning Medial Axes**,

*CVIU(69)*, No. 2, February 1998, pp. 156-169.

DOI Link
BibRef
**9802**

*Siddiqi, K.[Kaleem]*,
*Pizer, S.M.[Stephen M.]*,

**Medial Representations**,

*Springer*2009, ISBN: 978-1-4020-8657-1.

WWW Link.
**Buy this book: Medial Representations: Mathematics, Algorithms and Applications (Computational Imaging and Vision)
**
BibRef
**0900**

*Mathew, J.J.*,
*James, A.P.*,

**Spatial Stimuli Gradient Sketch Model**,

*SPLetters(22)*, No. 9, September 2015, pp. 1336-1339.

IEEE DOI
**1503**

brightness
BibRef

IEEE DOI

Symmetries to generate axial representations. BibRef

*Willis, A.R.*,
*Cooper, D.B.*,

**Bayesian assembly of 3D axially symmetric shapes from fragments**,

*CVPR04*(I: 82-89).

IEEE DOI
**0408**

BibRef

*Kimia, B.B.[Benjamin B.]*,
*Tamrakar, A.[Amir]*,

**The Role of Propagation and Medial Geometry in Human Vision**,

*BMCV02*(219 ff.).

Springer DOI
**0303**

BibRef

*Schlicher, M.*,
*Verbeek, P.W.*,
*Bouts, E.*,

**Fast Analytical Medial-Axis Localization in Convex Polyhedra**,

*ICPR96*(I: 55-61).

IEEE DOI
**9608**

(Technical Univ. Delft, NL)
BibRef

*Frucci, M.*,
*Marcelli, A.*,

**Line representation of elongated shapes**,

*CAIP95*(643-648).

Springer DOI
**9509**

BibRef

Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in

Thinning Algorithms .

Last update:Nov 18, 2017 at 20:56:18