Apparatus and method for generating time-series data, apparatus and method for editing curves and recording medium having program recorded thereon

A time-series data generating method for generating, from time series I(t) of data distributed in space, time series P(t) of corresponding coordinates, comprising the steps of:

• an interpolation curve generating step for receiving an incomplete set of said corresponding coordinates as input for generating an interpolation curve C(t) interconnecting said coordinates;
• a candidate point extraction step of receiving said interpolation curve C(t) and the time series of data as inputs for extracting, from the neighborhood of the position C(ts) of the interpolation curve at time ts, a group Q of candidate points of the coordinates P(ts) to be found at time ts for which a corresponding coordinate has not been acquired;
• an evaluated value calculating step of receiving the time juncture ts, interpolation curve C(ts), time series of data I(t) and a candidate point of the group Q of candidate points as inputs for calculating an evaluated value e(q) for the candidate point;
• and
• a candidate point selection step for detecting the point q having the maximum or minimum evaluation value E.

A recording medium having recorded thereon a time-series data generating program for generating, from time series I(t) of data distributed in space, time series P(t) of corresponding coordinates, said time series data generating program comprising the steps of:

• an interpolation curve generating step for receiving an incomplete set of said corresponding coordinates as input for generating an interpolation curve C(t) interconnecting said coordinates;
• a candidate point extraction step of receiving said interpolation curve C(t) and the time series of data as inputs for extracting, from the neighborhood of the position C(ts) of the interpolation curve at time ts, a group Q of candidate points of the coordinates P(ts) to be found at time ts for which a corresponding coordinate has not been acquired;
• an evaluated value calculating step of receiving the time juncture ts, interpolation curve C(ts), time series of data I(t) and a candidate point of the group Q of candidate points as inputs for calculating an evaluated value e(q) for the candidate point;
• and
• a candidate point selection step for detecting the point q having the maximum or minimum evaluation value E.

A time-series data generating apparatus for generating, from time series I(t) of data distributed in space, time series P(t) of corresponding coordinates, comprising:

• corresponding point interpolation means for receiving a time series of a curve i(t) and an incomplete set of candidate points representing the relation between curves at each time juncture for interpolating said incomplete set of candidate points;
• smoothing means for smoothing the interpolated candidate points along the time axis;
• and
• curve re-constructing means for re-constructing a curve shape form smoothed corresponding points.

A time-series data generating method for generating, from time series I(t) of data distributed in space, time series P(t) of corresponding coordinates, comprising the steps of:

• a corresponding point interpolating step of receiving time series I(t) of a curve and an incomplete set of corresponding points representing the corresponding relation between curves at respective time junctures, as inputs, for interpolating incomplete coordinates;
• a smoothing step of smoothing the interpolated corresponding points along the time axis;
• and
• a curve re-constructing step of the curve shapes at the respective time junctures from the smoothed corresponding points.

A curve editing apparatus for smoothing corresponding points on each contour curve of a time series of a contour curve along the time axis for reducing displacements along the time axis between the contour curves, comprising:

• point setting means for setting points at optional positions on the curves at optional time juncture of the time series of a contour curve I(t);
• corresponding setting means for setting whether or not each point is a corresponding point;
• weighting setting means for setting weighting coefficients of respective points;
• and
• curve deforming means for receiving a time series of a curve I(t) and an incomplete set of coordinate points representing the corresponding relation between curves at respective time junctures as inputs for interpolating the incomplete coordinate points, smoothing the interpolated corresponding points along the time axis and for re-constructing a curve at each time juncture from the smoothed corresponding points at a time.

A curve editing method for smoothing corresponding points on each contour curve of a time series of a contour curve along the time axis for reducing displacements along the time axis between the contour curves, comprising the steps of:

• a point setting step for setting points at optional positions on the curves at optional time juncture of the time series of a contour curve I(t);
• a corresponding setting step for setting whether or not each point is a corresponding point;
• a weighting setting step for setting weighting coefficients of respective points;
• and
• a curve deforming step for receiving a time series of a curve I(t) and an incomplete set of coordinate points representing the corresponding relation between curves at respective time junctures as inputs for interpolating the incomplete coordinate points, smoothing the interpolated corresponding points along the time axis and for re-constructing a curve at each time juncture from the smoothed corresponding points at a time.

A recording medium having recorded thereon a curve editing program for smoothing corresponding points on each contour curve of a time series of a contour curve along the time axis for reducing displacements along the time axis between the contour curves, said curve editing program comprising the steps of:

• a point setting step for setting points at optional positions on the curves at optional time juncture of the time series of a contour curve I(t);
• a corresponding setting step for setting whether or not each point is a corresponding point;
• a weighting setting step for setting weighting coefficients of respective points;
• and
• a curve deforming step for receiving a time series of a curve I(t) and an incomplete set of coordinate points representing the corresponding relation between curves at respective time junctures as inputs for interpolating the incomplete coordinate points, smoothing the interpolated corresponding points along the time axis and for re-constructing a curve at each time juncture from the smoothed corresponding points at a time.