Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The concept of continuous scatterplot (CSP) is a modern visualization technique. The idea is to define a scalar density value based on the map beten an n-dimensional spatial domain and an m-dimensional data domain, which describe the CSP space. Usually the data domain is two-dimensional to visually convey the underlying, density coded, data.   investigate kinds of map-based discontinuities, especially for the practical cases n = m = 2 and n = 3 | m = 2, and  depict relations beten them and attributes of the resulting CSP itself. Additionally,  show that discontinuities build critical line structures, and  introduce algorithms to detect them. Further,  introduce a discontinuity-based visualization approach - called contribution map (CM) -which establishes a relationship beten the CSP's data domain and the number of connected components in the spatial domain.  show that CMs enhance the CSP-based linking & brushing interaction. Finally,  apply our approaches to a number of synthetic as ll as real data sets.
['Dirk J. Lehmann', 'Holger Theisel']
I am writing a research paper on a idea Discontinuities in Continuous Scatter Plots
[{"from": "human", "value": "I am writing a research paper on a idea Discontinuities in Continuous Scatter Plots"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The concept of continuous scatterplot (CSP) is a modern visualization technique. The idea is to define a scalar density value based on the map beten an n-dimensional spatial domain and an m-dimensional data domain, which describe the CSP space. Usually the data domain is two-dimensional to visually convey the underlying, density coded, data.   investigate kinds of map-based discontinuities, especially for the practical cases n = m = 2 and n = 3 | m = 2, and  depict relations beten them and attributes of the resulting CSP itself. Additionally,  show that discontinuities build critical line structures, and  introduce algorithms to detect them. Further,  introduce a discontinuity-based visualization approach - called contribution map (CM) -which establishes a relationship beten the CSP's data domain and the number of connected components in the spatial domain.  show that CMs enhance the CSP-based linking & brushing interaction. Finally,  apply our approaches to a number of synthetic as ll as real data sets."}]