The Differential Model: A Model for Animating Transformation of Objects Using Differential Inforamtion
نویسندگان
چکیده
A new model named the differential model is presented for representing the transformation of f a objects using differential information. Differential information refers to the curvature and torsion o curve, the first and the second fundamental forms of a surface and the first fundamental form of a e i solid object. Given the initial and the final states in the transformation of an object, we compute th nitial and the final values of these differential variables. Then, we interpolate the initial and the s o final values to obtain the in-between values. Finally, the in-between shapes with the desired value f the differential variables are reconstructed. It is possible to represent wide changes in the global
منابع مشابه
APPLICATION NEURAL NETWORK TO SOLVE ORDINARY DIFFERENTIAL EQUATIONS
In this paper, we introduce a hybrid approach based on neural network and optimization teqnique to solve ordinary differential equation. In proposed model we use heyperbolic secont transformation function in hiden layer of neural network part and bfgs teqnique in optimization part. In comparison with existing similar neural networks proposed model provides solutions with high accuracy. Numerica...
متن کاملPresenting a Morphological Based Approach for Filtering The Point Cloud to Extract the Digital Terrain Model
The Digital terrain model is an important geospatial product used as the basis of many practical projects related to geospatial information. Nowadays, a dense point cloud can be generated using the LiDAR data. Actually, the acquired point cloud of the LiDAR, presents a digital surface model that contains ground and non-ground objects. The purpose of this paper is to present a new approach of ex...
متن کاملSimulation of Singular Fourth- Order Partial Differential Equations Using the Fourier Transform Combined With Variational Iteration Method
In this paper, we present a comparative study between the modified variational iteration method (MVIM) and a hybrid of Fourier transform and variational iteration method (FTVIM). The study outlines the efficiencyand convergence of the two methods. The analysis is illustrated by investigating four singular partial differential equations with variable coefficients. The solution of singular partia...
متن کاملThe Tau-Collocation Method for Solving Nonlinear Integro-Differential Equations and Application of a Population Model
This paper presents a computational technique that called Tau-collocation method for the developed solution of non-linear integro-differential equations which involves a population model. To do this, the nonlinear integro-differential equations are transformed into a system of linear algebraic equations in matrix form without interpolation of non-poly-nomial terms of equations. Then, using coll...
متن کاملDynamic Analysis of the Biomechanical Model of Head Load Impact Using Differential Transform Method
The dynamic analysis of the biomechanical model of the head load impact using the Differential Transform Method is presented in this paper. In many parts of the world, the problem of traumatic brain injuries (TBI) has led to neurodegenerative dementing disorders and diseases as a result of head load impact from sporting activities, accidents involving the head, etc. have serious effects on huma...
متن کامل