Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  presents efficient algorithms for computing new types of distance measures. One of the measures denoted by d/sub rho//sup +/ (A, B) characterizes proximity of non-intersecting objects A and B taking into account their shapes. The second measure denoted by /spl delta/(/spl sigma/; A, B) characterizes the penetration beten two intersecting objects. The main contributions include: 1) O(m log n+n log m) algorithms to compute d/sub rho//sup +/ (A, B) and /spl delta/(/spl sigma/; A, B) beten convex polyhedra in /spl Rfr//sup 3/ having m and n vertices respectively; and 2) an efficient procedure to compute /spl delta/(/spl sigma/; A, B) beten non-polygonal objects described algebraically.  point out the utility of the measures for collision detection beten a pair of objects. >
['K. Sridharan', 'Harry E. Stephanou']
I am writing a research paper on a idea Algorithms for rapid computation of some distance functions between objects for path planning
[{"from": "human", "value": "I am writing a research paper on a idea Algorithms for rapid computation of some distance functions between objects for path planning"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  presents efficient algorithms for computing new types of distance measures. One of the measures denoted by d/sub rho//sup +/ (A, B) characterizes proximity of non-intersecting objects A and B taking into account their shapes. The second measure denoted by /spl delta/(/spl sigma/; A, B) characterizes the penetration beten two intersecting objects. The main contributions include: 1) O(m log n+n log m) algorithms to compute d/sub rho//sup +/ (A, B) and /spl delta/(/spl sigma/; A, B) beten convex polyhedra in /spl Rfr//sup 3/ having m and n vertices respectively; and 2) an efficient procedure to compute /spl delta/(/spl sigma/; A, B) beten non-polygonal objects described algebraically.  point out the utility of the measures for collision detection beten a pair of objects. >"}]