Abstract

Secure Multi-party Computation (SMC) is dedicated to solve trust problems in cooperative computing with each participant’s private data. Privacy Preserving Computational Geometry (PPCG) is a special area in SMC and is being widely used. This paper investigates the problem of judging whether a point is in a convex hull or not. We firstly present a secure protocol to determine the position of a private point and a private line, based on which two efficient point-inclusion schemes are proposed. Compared with previous solutions, our protocols perform better in efficiency, especially when the number of the convex hull’s points is large.

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