Method and apparatus for multivariate space processing
View Patent ↗A multivariate space processing apparatus and method in which visualization is carried out by image processing alone and without a modeling process. In the apparatus, a preprocessing unit degenerates multivariate data into three variates; a conversion unit specifies a reference variate among the three variates, then determines values for the two remaining variates at two predetermined values of the reference variate, so that a first image and a second image based on the two remaining variates and corresponding to the two predetermined values are generated; a matching processor computes a matching between the first image and the second image; and an intermediate image generator generates an intermediate image of the first and second images based on the matching. Preferably, a display control unit displays the intermediate image on a display.
1. A multivariate space processing method, comprising:
degenerating multivariate data into three predetermined variates;
determining a reference variate to serve as a reference among the three variates;
acquiring a first two-dimensional space formed by the remaining two variates when the reference variate takes a first value;
acquiring a second two-dimensional space formed by the remaining two variates when the reference variate takes a second value:
computing a matching between the first two-dimensional space and the second two-dimensional space;
generating a virtual intermediate two-dimensional space based on the first two-dimensional space and the second two-dimensional space by performing an interpolation computation based on a result of said matching computation; and
comparing the virtual intermediate two-dimensional space obtained from the matching computation and an authentic intermediate two-dimensional space obtained based on a predetermined value of the multivariate data.
2. A method according to claim 1 , wherein the first and second two-dimensional spaces are regarded as a first image and a second image, respectively, and the matching is computed pixel by pixel based on correspondence between a critical point detected through a two-dimensional search on the first image and a critical point detected through a two-dimensional search on the second image.
3. A method according to claim 2 , further comprising:
multiresolutionalizing the first image and the second image by respectively extracting the critical points;
performing a pixel-by-pixel matching computation on the first image and the second image at the same multi-resolution level; and
acquiring a pixel-by-pixel correspondence relation at a finer level of resolution while inheriting a result of the pixel-by-pixel matching computation from a matching computation at a different multiresolution level.
4. A method according to claim 1 , further comprising: displaying the virtual intermediate two-dimensional space.
5. A method according to claim 1 , wherein the virtual intermediate two-dimensional space and the authentic intermediate two-dimensional space are compared while changing the predetermined variates.
6. A method according to claim 1 , wherein the virtual intermediate two-dimensional space and the authentic intermediate two-dimensional space are compared while changing the selection of the reference variate.
7. A method according to claim 1 , wherein the virtual intermediate two-dimensional space and the authentic intermediate two-dimensional space are compared while changing the first value and the second value.
8. A method according to claim 1 , wherein the virtual intermediate two-dimensional space and the authentic intermediate two-dimensional space are compared after a predetermined conversion is performed on the first and second two-dimensional spaces.
9. A computer readable medium containing computer executable code, such that when the code is executed by a computer, the code causes the computer to perform the functions of:
degenerating multivariate data into three predetermined variates;
determining a reference variate to serve as a reference among the three variates;
acquiring a first two-dimensional space formed by the remaining two variates when the reference variate takes a first value;
acquiring a second two-dimensional space formed by the remaining two variates when the reference variate takes a second value;
computing a matching between the first two-dimensional space and the second two-dimensional space;
generating a virtual intermediate two-dimensional space based on the first two-dimensional space and the second two-dimensional space by performing an interpolation computation based on a result of said matching computation; and
comparing the virtual intermediate two-dimensional space and an authentic intermediate two-dimensional space obtained based on a predetermined value of the multivariate data.