The biggest theory in the XX century is the Special Theory of Relativity (SR), consequently, the General Theory of Relativity (GR), which has even now millions of followers and was accepted as a revolutionary theory o...The biggest theory in the XX century is the Special Theory of Relativity (SR), consequently, the General Theory of Relativity (GR), which has even now millions of followers and was accepted as a revolutionary theory of physics by the physical community. Special Relativity based on Lorentz transformation and Minkovski geometry forms the basis for the disciplines of Cosmology (the structure and origin of the Universe on the largest scales). The research aims to focus on how physics describes SR and GR, which have some flaws from the beginning, and finally, to show why Euclidean geometry comes back into science.展开更多
An approach of morphing by decomposing two objects into sets of individual convex sub objects respectively and contructing the mapping between two sets is presented The Minkvski addition of two convex sub-objects acco...An approach of morphing by decomposing two objects into sets of individual convex sub objects respectively and contructing the mapping between two sets is presented The Minkvski addition of two convex sub-objects according to their mapping ralationship is calculated, then all the Minkovski additions are combined to obtain the final result. Nonrigid body motion can be divided into nonrigid body metamorphosis and rigid body rotation A novel method for describing nonrigid body motion based on generalized morph-translation is proposed. This method can solve the metamorphosis problem of two non-homotopic objects. Experiments show tha this method can generate natural, high quality metamorphosis results with simple computation. This method can also be used in interpolation between two keyframes in 2D and 3D computer animation automatically.展开更多
文摘The biggest theory in the XX century is the Special Theory of Relativity (SR), consequently, the General Theory of Relativity (GR), which has even now millions of followers and was accepted as a revolutionary theory of physics by the physical community. Special Relativity based on Lorentz transformation and Minkovski geometry forms the basis for the disciplines of Cosmology (the structure and origin of the Universe on the largest scales). The research aims to focus on how physics describes SR and GR, which have some flaws from the beginning, and finally, to show why Euclidean geometry comes back into science.
文摘An approach of morphing by decomposing two objects into sets of individual convex sub objects respectively and contructing the mapping between two sets is presented The Minkvski addition of two convex sub-objects according to their mapping ralationship is calculated, then all the Minkovski additions are combined to obtain the final result. Nonrigid body motion can be divided into nonrigid body metamorphosis and rigid body rotation A novel method for describing nonrigid body motion based on generalized morph-translation is proposed. This method can solve the metamorphosis problem of two non-homotopic objects. Experiments show tha this method can generate natural, high quality metamorphosis results with simple computation. This method can also be used in interpolation between two keyframes in 2D and 3D computer animation automatically.
