Abstract: The embodiment(s) relate to a method of remotely configuring a Point-of-Sale (PoS) terminal. The method includes generating, at a merchant device, payment information based on a transaction input, signing the generated payment information with a private key, and transmitting the signed payment information and a public key certificate signed by a certificate authority to the PoS terminal for validation of the payment information at the PoS terminal using the public key certificate. The PoS terminal configures a terminal profile of the PoS terminal according to instructions received in the payment information from the merchant device when the payment information is validated at the PoS terminal.

Abstract: The embodiment(s) relate to a method of securely communicating between a Point-of-Sale (PoS) terminal and a payment card. The method includes signing payment data with a private key of the PoS terminal to create a signature. The method includes encrypting the payment data and signature using a public key certificate of the payment card, which is encrypted and signed by a certificate authority using a certificate authority private key and is received at the PoS terminal after a public key certificate of the PoS terminal is validated at the payment card. The PoS terminal public key certificate is encrypted and signed by the certificate authority using the certificate authority private key. The method includes transmitting the encrypted payment data and signature to the payment card for decryption of the payment data and signature using a payment card private key corresponding to the payment card public key certificate.

Abstract: A standard polygon clipping algorithm is used to either trivially accept/reject the sides or clip the sides of a polygon. Then, for each side that cannot be trivially accepted/rejected nor clipped using the standard polygon clipping algorithm, at least one turning point is generated to replace the side by performing a Boolean operation using the region codings provided by the standard polygon clipping algorithm. As a result, the replacement turning points are generated using integer arithmetic.