Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a new algorithm for the detection of all intersections beten a set of balls and a general query object. The proposed algorithm does not impose any restrictive condition on the set of balls and utilises por diagrams to minimize the amount of intersection tests. The price for this is por diagram computation in a preprocessing step.
['Michal Zemek', 'Ivana Kolingerová']
I am writing a research paper on a idea Power diagrams and intersection detection
[{"from": "human", "value": "I am writing a research paper on a idea Power diagrams and intersection detection"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a new algorithm for the detection of all intersections beten a set of balls and a general query object. The proposed algorithm does not impose any restrictive condition on the set of balls and utilises por diagrams to minimize the amount of intersection tests. The price for this is por diagram computation in a preprocessing step."}]