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- W2367181584 abstract "In this paper,the important property of convex object morphology addition is proved that F(S,u)=F(A,u)F(B,u) based on integral geometry,then the two objects' morphology operator can be calculated by through the two point sets' Minkowsky addition which have same normal vector.The concept of vector sphere is provided,every point on a sphere has an only normal vector direction.For any vector in Euclid space there exists a unique correspondent point in the sphere, that means the point's normal vector has the same direction as in Euclid.Correspond every point's normal vector on an object's surface to a sphere which keep their relative position not changed, the morphology addition of two objects can be simplified as the combination of two vector sphere,a computational model is presented,which unifies the morphology addition,subtraction of 3D objects in theory.The morphology addition algorithm of 2D,3D curves and surfaces is also provided and the application of the 2D,3D curves and surfaces morphology operators is given such as sweep surface modeling,font composition and non rigid body motion interpolation." @default.
- W2367181584 created "2016-06-24" @default.
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- W2367181584 date "1999-01-01" @default.
- W2367181584 modified "2023-09-22" @default.
- W2367181584 title "CURVE AND SURFACE'S MORPHOLOGY ALGORITHM AND ITS APPLICATIONS" @default.
- W2367181584 hasPublicationYear "1999" @default.
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