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math.CA2013★ 1 cited
Nonasymptotic densities for shape reconstruction
Sharif Ibrahim, Kevin Sonnanburg, Thomas J. Asaki +1
In this work, we study the problem of reconstructing shapes from simple nonasymptotic densities measured only along shape boundaries. The particular density we study is also known…
math.CA2013★ 2 cited
Cone Monotonicity: Structure Theorem, Properties, and Comparisons to Other Notions of Monotonicity
Heather A. Van Dyke, Kevin R. Vixie, Thomas J. Asaki
In search of a meaningful 2-dimensional analog to mono- tonicity, we introduce two new definitions and give examples of and dis- cuss the relationship between these definitions and…