The Solution of the Covariogram Problem for Plane $\mathcal{C}^2_+$ Convex Bodies

[1]  David G. Kendall,et al.  ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVAL , 1948 .

[2]  C. Herz.  Fourier Transforms Related to Convex Sets , 1962 .

[3]  W. Rudin.  Principles of mathematical analysis , 1964 .

[4]  C. Mallows,et al.  Corrections to “linear-intercept distributions do not characterize plane sets” , 1970, Journal of Applied Probability.

[5]  Corrections to “linear-intercept distributions do not characterize plane sets” , 1971 .

[6]  G. Matheron.  Random Sets and Integral Geometry , 1976 .

[7]  H. A. Ferwerda,et al.  PROBLEM OF PHASE RETRIEVAL IN LIGHT AND ELECTRON-MICROSCOPY OF STRONG OBJECTS .3. DEVELOPMENTS OF METHODS FOR NUMERICAL-SOLUTION , 1976 .

[8]  James R. Fienup,et al.  Reconstruction of the support of an object from the support of its autocorrelation , 1982 .

[9]  P. Seymour,et al.  The Structure of Homometric Sets , 1982 .

[10]  Jean Serra,et al.  Image Analysis and Mathematical Morphology , 1983 .

[11]  J. Fienup,et al.  Uniqueness of phase retrieval for functions with sufficiently disconnected support , 1983 .

[12]  G. Newsam,et al.  Necessary conditions for a unique solution to two‐dimensional phase recovery , 1984 .

[13]  Michael A. Fiddy,et al.  Application of homometric sets for beam manipulation , 1986 .

[14]  M. Gage,et al.  The heat equation shrinking convex plane curves , 1986 .

[15]  John M. Richardson,et al.  Probabilistic algorithm for phase retrieval , 1988 .

[16]  Norman E. Hurt,et al.  Phase Retrieval and Zero Crossings , 1989 .

[17]  M. Cowling,et al.  Damping oscillatory integrals , 1990 .

[18]  Orientation-dependent chord length distributions characterize convex polygons , 1993 .

[19]  P. Gruber.  Baire Categories in Convexity , 1993 .

[20]  Alexander V. Tikhonravov,et al.  The phase retrieval problem , 1995 .

[21]  Phase Retrieval for Probability Measures on Abelian Groups II , 1997 .

[22]  P. Goodey,et al.  On the Determination of Convex Bodies by Projection Functions , 1997 .

[23]  R. J. Gardner,et al.  Affine inequalities and radial mean bodies , 1998 .

[24]  Jacques Istas,et al.  Precision of systematic sampling and transitive methods , 1999 .

[25]  P. Jaming,et al.  Phase retrieval techniques for radar ambiguity problems , 1999 .

[26]  T. Isernia,et al.  Role of support information and zero locations in phase retrieval by a quadratic approach , 1999 .