Z. Kulpa. Area and perimeter measurement of blobs in discrete binary pictures. Computer Graphics and Image Processing, 6:434--454, 1977.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....to a speci c discrete realization. Assuming that the boundary of a cell object consists of chains of circular arcs, we evaluated [13] the precision of several area and length estimators applied to circles, and found that pixel counting gave a good estimation of the area and the method of Kulpa [14] gave a good estimation of the perimeter. Pixel counting can be done eOEciently by using a discrete version of Green s theorem [15] The discrete Green s theorem evaluates the exact value of a double sum by a simple summation. Kulpa s perimeter is computed based on the Freeman chain coding. ....

Z. Kulpa, Area and perimeter measurement of blobs in discrete binary pictures, Comput. Graph. Image Process. 6:434451, 1977.

....to a speci c discrete realization. Assuming that the boundary of a cell object consists of chains of circular arcs, we evaluated [13] the precision of several area and length estimators applied to circles, and found that pixel counting gave a good estimation of the area and the method of Kulpa [14] gave a good estimation of the perimeter. Pixel counting can be done eOEciently by using a discrete version of Green s theorem [15] The discrete Green s theorem evaluates the exact value of a double sum by a simple summation. Kulpa s perimeter is computed based on the Freeman chain coding. ....

Z. Kulpa, Area and perimeter measurement of blobs in discrete binary pictures, Comput. Graph. Image Process. 6:434451, 1977.

....outlined before. But we will see that the solution of this problem points to ways to solve the general problem. We focus mainly on the calculation of estimators for the length of a digitized straight line segment. Prior to our study, various length measures had been published. Those of [11] 12] [19] were of the form L = an e bn o . Freeman [11] used the intuitive but inaccurate (a; b) 1; p 2) Groen and Verbeek [12] and Kulpa [19] calculated the coefficients by a statistical analysis over all digitized straight lines. Later, Koplowitz [16] computed the probability of odd and even ....

....of estimators for the length of a digitized straight line segment. Prior to our study, various length measures had been published. Those of [11] 12] 19] were of the form L = an e bn o . Freeman [11] used the intuitive but inaccurate (a; b) 1; p 2) Groen and Verbeek [12] and Kulpa [19] calculated the coefficients by a statistical analysis over all digitized straight lines. Later, Koplowitz [16] computed the probability of odd and even codes for arbitrary digitization schemes and curving contours, leading to generalized coefficients. However, Vossepoel and Smeulders [26] ....

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Z. Kulpa, Area and Perimeter Measurement of Blobs in Discrete Binary Pictures, Computer Vision and Image Processing, Vol.6, pp.434-454, 1977.

....Shape Features We use two dimensional shape features to quantify the dioeerence between two segmentations. The area A and the perimeter P of an object are two features related to the size of the object. The circularity C de ned by C = 4 A=P 2 is a scaling invariant shape feature. Kulpa s method [4] has been used to compute the cell perimeter. See [14] for an evaluation of several area and perimeter estimators. Cartesian geometric moments of binary regions have been eOEciently computed [13] in order to obtain moment based shape features [9] such as area, centroid, radius of gyration, ....

Kulpa, Z.: Area and perimeter measurement of blobs in discrete binary pictures. omput. Graph. Image Process. 6 (1977) 434451

....a general continuous contour from discrete data, because many possible contours, all having dioeerent lengths, correspond to a speci c discrete realization. Thus, to develop a practical length estimator, some reasonable assumptions about the original contour should be made. Many authors [2] [6] developed and evaluated length estimators for straight lines. One of these estimators was also found to be accurate for the boundaries of blob like objects [2, 6] We assume that the boundary of a blob like object consists of chains of circular arcs, and therefore evaluate the precision of ....

....Thus, to develop a practical length estimator, some reasonable assumptions about the original contour should be made. Many authors [2] 6] developed and evaluated length estimators for straight lines. One of these estimators was also found to be accurate for the boundaries of blob like objects [2, 6]. We assume that the boundary of a blob like object consists of chains of circular arcs, and therefore evaluate the precision of several area and length estimators applied to circles. The circularity C is a scale, translation and rotation invariant shape feature. The precision of the circularity ....

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Z. Kulpa. Area and perimeter measurement of blobs in discrete binary pictures. Comput. Graph. Image Process., 6:434451, 1977.

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Z. Kulpa. Area and perimeter measurement of blobs in discrete binary pictures. Computer Graphics and Image Processing, 6:434--454, 1977.

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Kulpa, Z., Area and perimeter measurement of blobs in discrete binary pictures. Computer Vision, Graphics and Image Processing, 1977. 6: p. 434454.

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