Fuzzy B-Splines: A Surface Model Encapsulating Uncertainty

Abstract

In the context of surface modeling, fuzzy B-splines are proposed as an integrated approach to uncertainty coding and data reduction. Fuzzy B-splines are suitable for representing and simplifying both crisp and imprecise surface data and support interrogation of the model at different presumption levels. A high degree of compression can be achieved through a procedure that defines the most significant representative among spatially clustered points. Experimental results are shown to prove the effectiveness of the proposed approach.