Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
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
Topological considerations in isosurface generation
ACM Transactions on Graphics (TOG)
Digital Planar Segment Based Polyhedrization for Surface Area Estimation
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Estimation of surface area and surface area measure of three-dimensional sets from digitizations
Image and Vision Computing
Measurements of digitized objects with fuzzy borders in 2D and 3D
Image and Vision Computing
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We describe surface area measurements based on local estimates of isosurfaces originating from a marching cubes representation. We show how improved precision and accuracy are obtained by optimizing the area contribution for one of the cases in this representation. The computations are performed on large sets (approximately 200,000 3D objects) of computer generated spheres, cubes, and cylinders. The synthetic objects are generated over a continuous range of sizes with randomized alignment in the digitization grid. Sphericity, a scale invariant measure of compactness, allows us, in combination with the improved surface area estimate, to distinguish among the test sets.