Abstract: A method for evaluating a quartz glass crucible constituted by an outer layer formed of an opaque quartz glass containing a bubble, and an inner layer formed of a transparent quartz glass. The method includes steps of preparing a quartz glass crucible to be evaluated, irradiating the quartz glass crucible to be evaluated with ultraviolet rays as an excitation light, detecting a blue fluorescence emitted from the quartz glass crucible irradiated with the ultraviolet rays, and evaluating a state of oxygen deficiency defects in the outer layer of the quartz glass crucible on the basis of existence or non-existence of the blue fluorescence. The method allows hydrogen doping and water vapor introduction to attain nondestructive and easy evaluation on the state of the oxygen deficiency defects generated in the quartz glass crucible.

Abstract: The objective of this invention is to provide a method of transforming the shape of a skeleton model, wherein this method can easily handle a skeleton model of a multiple-branching structure and enables the easy setting of complicated restrictive conditions. Node coordinates and arc-normal vectors are used as basic variables. Basic equations, which comprise an equation defining the length of an arc and which use basic variables as unknowns, and an evaluation expression for uniquely specifying a solution that satisfies these basic equations are modified, based on data such as mouse input. A solution for the basic variables that satisfies the basic equations and minimizes the value of the evaluation expression is obtained, and the shape of the skeleton model is transformed accordingly. The evaluation expression is used to set minimization of the sum-of-squares of arc-to-arc angles, rubber-banding, dampers, and inertia.