Affine length and affine dimension of a 1-set of ℝ2

DOI10.1017/S0308210500023209zbMath0859.28003MaRDI QIDQ4715340

Françoise Dibos

Publication date: 25 March 1997

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hausdorff-dimensionaffine dimensionHausdorff-measure\(C^ 2\)-curveaffine net dimensionnet affine measurerectifiable 1-set

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Fractals (28A80) Hausdorff and packing measures (28A78)

Cites Work

• Rectifiable sets and the traveling salesman problem
• Optimal approximations by piecewise smooth functions and associated variational problems
• Hausdorff Two-Dimensional Measure in 3-Space
• Density Theorems for Measures of Hausdorff Type
• Measures of Hausdorff Type
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