Implicit interpolation of time vector series

Time vector series abound in many fields, which are different from time series. Based on mapping and implicit function interpolation, the method of implicit interpolation over time vector series is developed and studied. Time vector series are mapped into a sequence of closed curves or surfaces, which are seen as the interpolation data set. Based on the interpolation data set, the implicit interpolation function is constructed and from which an isoline is drawn. The inverse mapping of the isoline is the prediction of vector series at the new time. Based on the well logging data an application is given to predict the unknown isotope logging data of year 2004 with the known data of year 2003 and 2005 which shows the performance of the method.