US 11,790,484 B2
Two-dimensional scalar field data visualization method and system based on colormap optimization
Qiong Zeng, Jinan (CN); Yunhai Wang, Jinan (CN); Changhe Tu, Jinan (CN); Yi Cao, Jinan (CN); and Ivan Viola, Thuwal (SA)
Assigned to SHANDONG UNIVERSITY, Jinan (CN)
Appl. No. 17/257,906
Filed by SHANDONG UNIVERSITY, Shandong (CN)
PCT Filed Nov. 6, 2019, PCT No. PCT/CN2019/115965
§ 371(c)(1), (2) Date Jan. 5, 2021,
PCT Pub. No. WO2020/232985, PCT Pub. Date Nov. 26, 2020.
Claims priority of application No. 201910423962.0 (CN), filed on May 21, 2019.
Prior Publication US 2021/0272235 A1, Sep. 2, 2021
Int. Cl. G06T 3/40 (2006.01); G06T 7/90 (2017.01)
CPC G06T 3/4007 (2013.01) [G06T 7/90 (2017.01); G06T 2207/10024 (2013.01)] 10 Claims
OG exemplary drawing
 
1. A two-dimensional scalar field data visualization method based on colormap optimization, comprising:
receiving an initial colormap and two-dimensional scalar field data that are input;
calculating key colors in the initial colormap, and setting those key colors as control points;
calculating a linear interpolation between pairwise control points by using a piecewise linear function, to generate a colormap, and mapping the colormap to the two-dimensional scalar field data;
establishing an energy optimization equation for coordinate positions of the control points and the two-dimensional scalar field data for which mapping is performed, wherein the coordinate positions of the control points are numerical values between 0 and 1 obtained by normalizing index values in the colormap corresponding to the control points; and
solving the energy optimization equation to obtain an optimized coordinate position of the control point, generating a new colormap by using the piecewise linear function and the optimized coordinate position of the control point, and mapping the new colormap to the two-dimensional scalar field data, to obtain a final visualization result.