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

Authors:
Nataša Sladoje;Ingela Nyström;Punam K. Saha
Affiliations:
Centre for Image Analysis, SLU, Uppsala, Sweden;Centre for Image Analysis, Uppsala University, Uppsala, Sweden;MIPG, Department of Radiology, University of Pennsylvania, Philadelphia, PA, USA
Venue:
Image and Vision Computing
Year:
2005

Citing 11
Cited 13

On the perimeter and area of fuzzy sets

Fuzzy Sets and Systems
A general approach to parameter evaluation in fuzzy digital pictures

Pattern Recognition Letters
Marching cubes: A high resolution 3D surface construction algorithm

SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Length estimators for digitized contours

Computer Vision, Graphics, and Image Processing
Multidimensional digital boundaries

CVGIP: Graphical Models and Image Processing
Relative fuzzy connectedness among multiple objects: theory, algorithms, and applications in image segmentation

Computer Vision and Image Understanding
Surface Area Estimation of Digitized 3D Objects Using Local Computations

DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
A Comparative Evaluation of Length Estimators

ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 4 - Volume 4
Multigrid convergence and surface area estimation

Proceedings of the 11th international conference on Theoretical foundations of computer vision
Measuring perimeter and area in low resolution images using a fuzzy approach

SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
The fuzzy geometry of image subsets

Pattern Recognition Letters

Representation and reconstruction of fuzzy disks by moments

Fuzzy Sets and Systems
Surface-Area-Based Attribute Filtering in 3D

ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Sub-pixel Segmentation with the Image Foresting Transform

IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Recent Literature Collected by Didier DUBOIS, Henri PRADE and Salvatore SESSA

Fuzzy Sets and Systems
Surface area estimation of digitized 3D objects using quasi-Monte Carlo methods

Pattern Recognition
Defuzzification of spatial fuzzy sets by feature distance minimization

Image and Vision Computing
Distance measures between digital fuzzy objects and their applicability in image processing

IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Estimation of moments of digitized objects with fuzzy borders

ICIAP'05 Proceedings of the 13th international conference on Image Analysis and Processing
An objective comparison between gray weighted distance transforms and weighted distance transforms on curved spaces

DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Feature based defuzzification in ℤ2 and ℤ3 using a scale space approach

DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Coverage segmentation based on linear unmixing and minimization of perimeter and boundary thickness

Pattern Recognition Letters
Feature based defuzzification at increased spatial resolution

IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
Documenting and sharing comparative analyses of 3D digital museum artifacts through semantic web annotations

Journal on Computing and Cultural Heritage (JOCCH)

Quantified Score

Hi-index	0.00

Visualization

Abstract

The results of our investigation of several measurements on digitized 2D and 3D objects with fuzzy borders are presented. The performance of surface area, volume, and roundness measure estimators for digitized balls with fuzzy borders is analyzed. The method we suggest provides significant improvement in precision, compared to analogous estimation results obtained on a crisp (hard) segmentation, especially in the case of low resolution images.