Research Of Ellipse Profile Error, Ellipsoid Profile Error Evaluation Algorithm

In industry such as aerospace, automobile, shipbuilding and mould which isrelated closely to manufacturing, special-shaped parts which have elliptic cross section,outline of ellipsoid have an important role on a certain product’s appearance andfunction, accuracy measurement and evaluation of the part profile are essential meansto judge its qualified. Research error evaluation algorithm of ellipse and ellipsoid has aimportant theoretical significance and application value on researching special-shapedprofile error measuring instrument parts.According to the ellipse, ellipsoid outline geometrical characteristics, form errordefinition, the error evaluation algorithm on ellipse and ellipsoid is studied. Mainresearch contents and results as follows:1According to the theory of error evaluation, the geometric properties of ellipse,it defines the error evaluation standard about ellipse and ellipsoid, studies the normaldistance calculation methods, improves accuracy when use least square method toevaluate ellipse error.2It put forward the traversal algorithm to evaluate ellipse profile error throughresearch and study on evaluate method and theory of ellipse profile error. It researchesthe relationship in algorithm between grid point number and elliptical contour errorestimation accuracy. It optimizes the geometry traversal search algorithm of ellipseprofile error, and put forward geometry optimization approximate search algorithm ofellipse profile error. Then numerical simulation and example the two kind of algorithmare conducted.3Combining with the evaluation algorithm of the ellipse profile error, it translatesellipsoidal profile error evaluation in three-dimensional space into ellipse profile errorevaluation in plane, puts forward the minimum area algorithm of the ellipsoid profilebased on geometry optimization search, gives the initial focus of reference, the initialsearch area, optimization method to narrow of search area in geometry optimization of approximate search algorithm and termination of the search criteria conformed toevaluating precision. It proves that geometry optimization of approximate searchalgorithm is available to evaluate ellipsoid contour error through numerical simulation.It comes true that the minimum zone evaluation algorithm of ellipse, ellipsoidprofile through using geometric relationship to optimization search benchmark focusof ellipse and ellipsoid profile in error evaluation. The algorithm has a simple theoryand easy program. It can realize the elliptical, ellipsoid of minimum zone evaluation,but also can be used in elliptical (ellipsoid) maximum inscribed ellipse (ellipsoid) andminimum circumscribed ellipse (ellipsoid) evaluation. The result of simulation andexample state that algorithm can search the corresponding evaluation benchmark focuspreferable, implement the accurate evaluation of ellipse and ellipsoid profile error.