*Kulpa, Z.[Zenon]*,

**Area and Perimeter Measurement of Blobs in Discrete Binary Pictures**,

*CGIP(6)*, No. 5, October 1977, pp. 434-451.

Elsevier DOI

See also On the Properties of Discrete Circles, Rings, and Disks.
BibRef
**7710**

*Kulpa, Z.[Zenon]*,

**More About Areas and Perimeters of Quantized Objects**,

*CVGIP(22)*, No. 2, May 1983, pp. 268-276.

Elsevier DOI
BibRef
**8305**

*Rosen, D.*,

**On the Areas and Boundaries of Quantized Objects**,

*CGIP(13)*, No. 1, May 1980, pp. 94-98.

Elsevier DOI
BibRef
**8005**

*Wechsler, H.*,

**A New and Fast Algorithm for Estimating the Perimeter of Objects
for Industrial Vision Tasks**,

*CGIP(17)*, No. 4, December 1981, pp. 375-385.

Elsevier DOI
BibRef
**8112**

*Zamperoni, P.*,

**A Note on the Computation of the Enclosed Area for Contour-Coded
Binary Objects**,

*SP(3)*, No. 3, July 1981, pp. 267-271.
BibRef
**8107**

*Bhattacharya, B.K.*,
*Toussaint, G.T.*,

**A Counterexample to a Diameter Algorithm for Convex Polygons**,

*PAMI(4)*, No. 3, May 1982, pp. 306-309.
Comment on Snyder/Tang paper:

See also Finding the Extrema of a Region.
BibRef
**8205**

*Snyder, W.E.*,
*Tang, D.A.*,

**Comments on
'A Counterexample to a Diameter Algorithm for Convex Polygons'**,

*PAMI(4)*, No. 3, May 1982, pp. 309.
And the reply.
BibRef
**8205**

*Koplowitz, J.*,
*Bruckstein, A.M.*,

**Design of Perimeter Estimators for Digitized Planar Shapes**,

*PAMI(11)*, No. 6, June 1989, pp. 611-622.

IEEE DOI How to get the perimeter.
BibRef
**8906**

*Rosen, D.*,

**Errors in Digitized Area Measurements: Circles and Rectangles**,

*PRL(13)*, 1992, pp. 613-621.
BibRef
**9200**

*Hall, P.[Peter]*,
*Molchanov, I.S.[Ilya S.]*,

**Corrections for systematic boundary effects in pixel-based area counts**,

*PR(32)*, No. 9, September 1999, pp. 1519-1528.

Elsevier DOI Pixel crosses multiple regions.
BibRef
**9909**

*Lindblad, J.[Joakim]*,

**Surface area estimation of digitized 3D objects using weighted local
configurations**,

*IVC(23)*, No. 2, 1 February 2004, pp. 111-122.

Elsevier DOI
**0412**

BibRef

*Sladoje, N.[Natasa]*,
*Nyström, I.[Ingela]*,
*Saha, P.K.[Punam K.]*,

**Measurements of digitized objects with fuzzy borders in 2D and 3D**,

*IVC(23)*, No. 2, 1 February 2004, pp. 123-132.

Elsevier DOI
**0412**

BibRef

Earlier:

**Measuring Perimeter and Area in Low Resolution Images Using a Fuzzy
Approach**,

*SCIA03*(853-860).

Springer DOI
**0310**

BibRef

*Sladoje, N.[Natasa]*,
*Lindblad, J.[Joakim]*,

**High-Precision Boundary Length Estimation by Utilizing Gray-Level
Information**,

*PAMI(31)*, No. 2, February 2009, pp. 357-363.

IEEE DOI
**0901**

BibRef

Earlier: A2, A1:

**Feature Based Defuzzification at Increased Spatial Resolution**,

*IWCIA06*(131-143).

Springer DOI
**0606**

BibRef

*Sladoje, N.[Nataša]*,
*Lindblad, J.[Joakim]*,

**Pixel Coverage Segmentation for Improved Feature Estimation**,

*CIAP09*(929-938).

Springer DOI
**0909**

Estimate how much of a pixel is in the region.
BibRef

*Sladoje, N.*,
*Lindblad, J.*,
*Nystrom, I.*,

**Defuzzification of discrete objects by optimizing area and perimeter
similarity**,

*ICPR04*(III: 526-529).

IEEE DOI
**0409**

BibRef

IEEE DOI

BibRef

*Chen, J.C.[Jie-Chun]*,
*Zhao, L.P.[Li-Ping]*,

**A New Method for Uncertainty Evaluation of Centroid Detection**,

*CISP09*(1-4).

IEEE DOI
**0910**

BibRef

*Charrier, É.[Émilie]*,
*Buzer, L.[Lilian]*,
*Feschet, F.[Fabien]*,

**Efficient Lattice Width Computation in Arbitrary Dimension**,

*DGCI09*(46-56).

Springer DOI
**0909**

BibRef

*Verbeek, P.W.*,
*van Vliet, L.J.*,

**An estimator of edge length and surface area in digitized 2D and 3D
images**,

*ICPR92*(III:1-5).

IEEE DOI
**9208**

BibRef

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

Shape Measures .

Last update:Sep 12, 2021 at 22:38:33