A Color Gamut Description Algorithm for Liquid Crystal Displays in CIELAB Space

Because the accuracy of gamut boundary description is significant for gamut mapping process, a gamut boundary calculating method for LCD monitors is proposed in this paper. Within most of the previous gamut boundary calculation algorithms, the gamut boundary is calculated in CIELAB space directly, and part of inside-gamut points are mistaken for the boundary points. While, in the new proposed algorithm, the points on the surface of RGB cube are selected as the boundary points, and then converted and described in CIELAB color space. Thus, in our algorithm, the true gamut boundary points are found and a more accurate gamut boundary is described. In experiment, a Toshiba LCD monitor's 3D CIELAB gamut for evaluation is firstly described which has regular-shaped outer surface, and then two 2D gamut boundaries (CIE- * * boundary and CIE- * * boundary) are calculated which are often used in gamut mapping process. When our algorithm is compared with several famous gamut calculating algorithms, the gamut volumes are very close, which indicates that our algorithm's accuracy is precise and acceptable

Solving polynomial least squares problems via semidefinite programming relaxations

Nonconvex optimization problems, Polynomial least squares problems, Polynomial semidefinite programs, Polynomial second-order cone programs, Sparsity,

Solving polynomial least squares problems via semidefinite programming relaxations

B-444 Solving polynomial least squares problems via semidefinite program-ming relaxations Sunyoung Kim? and Masakazu Kojima